Linear Dynamical Quantum Systems

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Linear Dynamical Quantum Systems

Author : Hendra I Nurdin
Publisher : Springer
ISBN 13 : 3319552015
Total Pages : 262 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Linear Dynamical Quantum Systems by : Hendra I Nurdin

Download or read book Linear Dynamical Quantum Systems written by Hendra I Nurdin and published by Springer. This book was released on 2017-05-11 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an in-depth treatment of the class of linear-dynamical quantum systems. The monograph presents a detailed account of the mathematical modeling of these systems using linear algebra and quantum stochastic calculus as the main tools for a treatment that emphasizes a system-theoretic point of view and the control-theoretic formulations of quantum versions of familiar problems from the classical (non-quantum) setting, including estimation and filtering, realization theory, and feedback control. Both measurement-based feedback control (i.e., feedback control by a classical system involving a continuous-time measurement process) and coherent feedback control (i.e., feedback control by another quantum system without the intervention of any measurements in the feedback loop) are treated. Researchers and graduates studying systems and control theory, quantum probability and stochastics or stochastic control whether from backgrounds in mechanical or electrical engineering or applied mathematics will find this book to be a valuable treatment of the control of an important class of quantum systems. The material presented here will also interest physicists working in optics, quantum optics, quantum information theory and other quantum-physical disciplines.

Information Complexity and Control in Quantum Physics

Author : A. Blaquiere
Publisher : Springer
ISBN 13 : 3709129710
Total Pages : 356 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Information Complexity and Control in Quantum Physics by : A. Blaquiere

Download or read book Information Complexity and Control in Quantum Physics written by A. Blaquiere and published by Springer. This book was released on 2014-05-04 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics, Information and Complexity in Quantum Systems

Author : Fabio Benatti
Publisher : Springer Nature
ISBN 13 : 3031342488
Total Pages : 620 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Dynamics, Information and Complexity in Quantum Systems by : Fabio Benatti

Download or read book Dynamics, Information and Complexity in Quantum Systems written by Fabio Benatti and published by Springer Nature. This book was released on 2023-09-23 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Dynamics, Information and Complexity in Quantum Systems widens its scope by focussing more on the dynamics of quantum correlations and information in microscopic and mesoscopic systems, and their use for metrological and machine learning purposes. The book is divided into three parts: Part One: Classical Dynamical Systems Addresses classical dynamical systems, classical dynamical entropy, and classical algorithmic complexity. Includes a survey of the theory of simple perceptrons and their storage capacity. Part Two: Quantum Dynamical Systems Focuses on the dynamics of entanglement under dissipative dynamics and its metrological use in finite level quantum systems. Discusses the quantum fluctuation approach to large-scale mesoscopic systems and their emergent dynamics in quantum systems with infinitely many degrees of freedom. Introduces a model of quantum perceptron whose storage capacity is computed and compared with the classical one. Part Three: Quantum Dynamical Entropies and Complexities Devoted to quantum dynamical entropies and algorithmic complexities. This book is meant for advanced students, young and senior researchers working in the fields of quantum statistical mechanics, quantum information, and quantum dynamical systems. It is self-contained, and the only prerequisites needed are a standard knowledge of statistical mechanics, quantum mechanics, and linear operators on Hilbert spaces.

Nonlinear Dynamics and Quantum Chaos

Author : Sandro Wimberger
Publisher : Springer
ISBN 13 : 331906343X
Total Pages : 206 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Nonlinear Dynamics and Quantum Chaos by : Sandro Wimberger

Download or read book Nonlinear Dynamics and Quantum Chaos written by Sandro Wimberger and published by Springer. This book was released on 2014-05-13 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.

Uncertainty in Complex Networked Systems

Author : Tamer Başar
Publisher : Springer
ISBN 13 : 3030046303
Total Pages : 618 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Uncertainty in Complex Networked Systems by : Tamer Başar

Download or read book Uncertainty in Complex Networked Systems written by Tamer Başar and published by Springer. This book was released on 2018-12-14 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume, and the volume itself, celebrate the life and research of Roberto Tempo, a leader in the study of complex networked systems, their analysis and control under uncertainty, and robust designs. Contributors include authorities on uncertainty in systems, robustness, networked and network systems, social networks, distributed and randomized algorithms, and multi-agent systems—all fields that Roberto Tempo made vital contributions to. Additionally, at least one author of each chapter was a research collaborator of Roberto Tempo’s. This volume is structured in three parts. The first covers robustness and includes topics like time-invariant uncertainties, robust static output feedback design, and the uncertainty quartet. The second part is focused on randomization and probabilistic methods, which covers topics such as compressive sensing, and stochastic optimization. Finally, the third part deals with distributed systems and algorithms, and explores matters involving mathematical sociology, fault diagnoses, and PageRank computation. Each chapter presents exposition, provides new results, and identifies fruitful future directions in research. This book will serve as a valuable reference volume to researchers interested in uncertainty, complexity, robustness, optimization, algorithms, and networked systems.

Applied Non-Linear Dynamical Systems

Author : Jan Awrejcewicz
Publisher : Springer
ISBN 13 : 3319082663
Total Pages : 538 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Applied Non-Linear Dynamical Systems by : Jan Awrejcewicz

Download or read book Applied Non-Linear Dynamical Systems written by Jan Awrejcewicz and published by Springer. This book was released on 2014-10-21 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future research. Topics covered include: constrained motion of mechanical systems and tracking control; diversities in the inverse dynamics; singularly perturbed ODEs with periodic coefficients; asymptotic solutions to the problem of vortex structure around a cylinder; investigation of the regular and chaotic dynamics; rare phenomena and chaos in power converters; non-holonomic constraints in wheeled robots; exotic bifurcations in non-smooth systems; micro-chaos; energy exchange of coupled oscillators; HIV dynamics; homogenous transformations with applications to off-shore slender structures; novel approaches to a qualitative study of a dissipative system; chaos of postural sway in humans; oscillators with fractional derivatives; controlling chaos via bifurcation diagrams; theories relating to optical choppers with rotating wheels; dynamics in expert systems; shooting methods for non-standard boundary value problems; automatic sleep scoring governed by delay differential equations; isochronous oscillations; the aerodynamics pendulum and its limit cycles; constrained N-body problems; nano-fractal oscillators and dynamically-coupled dry friction.

Learning and Robust Control in Quantum Technology

Author : Daoyi Dong
Publisher : Springer Nature
ISBN 13 : 3031202457
Total Pages : 265 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Learning and Robust Control in Quantum Technology by : Daoyi Dong

Download or read book Learning and Robust Control in Quantum Technology written by Daoyi Dong and published by Springer Nature. This book was released on 2023-03-24 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a state-of-the-art treatment of learning and robust control in quantum technology. It presents a systematic investigation of control design and algorithm realisation for several classes of quantum systems using control-theoretic tools and machine-learning methods. The approaches rely heavily on examples and the authors cover: sliding mode control of quantum systems; control and classification of inhomogeneous quantum ensembles using sampling-based learning control; robust and optimal control design using machine-learning methods; robust stability of quantum systems; and H∞ and fault-tolerant control of quantum systems. Both theoretical algorithm design and potential practical applications are considered. Methods for enhancing robustness of performance are developed in the context of quantum state preparation, quantum gate construction, and ultrafast control of molecules. Researchers and graduates studying systems and control theory, quantum control, and quantum engineering, especially from backgrounds in electrical engineering, applied mathematics and quantum information will find Learning and Robust Control in Quantum Technology to be a valuable reference for the investigation of learning and robust control of quantum systems. The material contained in this book will also interest chemists and physicists working on chemical physics, quantum optics, and quantum information technology.

Introduction to Quantum Control and Dynamics

Author : Domenico D’Alessandro
Publisher : CRC Press
ISBN 13 : 1000394999
Total Pages : 416 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Introduction to Quantum Control and Dynamics by : Domenico D’Alessandro

Download or read book Introduction to Quantum Control and Dynamics written by Domenico D’Alessandro and published by CRC Press. This book was released on 2021-07-28 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics presents the mathematical concepts and fundamental physics behind the analysis and control of quantum dynamics, emphasizing the application of Lie algebra and Lie group theory. To advantage students, instructors and practitioners, and since the field is highly interdisciplinary, this book presents an introduction with all the basic notions in the same place. The field has seen a large development in parallel with the neighboring fields of quantum information, computation and communication. The author has maintained an introductory level to encourage course use. After introducing the basics of quantum mechanics, the book derives a class of models for quantum control systems from fundamental physics. It examines the controllability and observability of quantum systems and the related problem of quantum state determination and measurement. The author also uses Lie group decompositions as tools to analyze dynamics and to design control algorithms. In addition, he describes various other control methods and discusses topics in quantum information theory that include entanglement and entanglement dynamics. Changes to the New Edition: New Chapter 4: Uncontrollable Systems and Dynamical Decomposition New section on quantum control landscapes A brief discussion of the experiments that earned the 2012 Nobel Prize in Physics Corrections and revised concepts are made to improve accuracy Armed with the basics of quantum control and dynamics, readers will invariably use this interdisciplinary knowledge in their mathematics, physics and engineering work.

Dynamics of One-Dimensional Quantum Systems

Author : Yoshio Kuramoto
Publisher : Cambridge University Press
ISBN 13 : 0521815983
Total Pages : 487 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Dynamics of One-Dimensional Quantum Systems by : Yoshio Kuramoto

Download or read book Dynamics of One-Dimensional Quantum Systems written by Yoshio Kuramoto and published by Cambridge University Press. This book was released on 2009-08-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise and accessible account of the dynamical properties of one-dimensional quantum systems, for graduate students and new researchers.

Non-Linear Dynamics and Fundamental Interactions

Author : Faqir Khanna
Publisher : Springer Science & Business Media
ISBN 13 : 1402039492
Total Pages : 345 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Non-Linear Dynamics and Fundamental Interactions by : Faqir Khanna

Download or read book Non-Linear Dynamics and Fundamental Interactions written by Faqir Khanna and published by Springer Science & Business Media. This book was released on 2006-06-26 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the NATO Advanced Research Institute on "Non-Linear Dynamics and Fundamental Interactions" held in Tashkent, Uzbekistan, from Oct.10-16,2004. The main objective of the Workshop was to bring together people working in areas of Fundamental physics relating to Quantum Field Theory, Finite Temperature Field theory and their applications to problems in particle physics, phase transitions and overlap regions with the areas of Quantum Chaos. The other important area is related to aspects of Non-Linear Dynamics which has been considered with the topic of chaology. The applications of such techniques are to mesoscopic systems, nanostructures, quantum information, particle physics and cosmology. All this forms a very rich area to review critically and then find aspects that still need careful consideration with possible new developments to find appropriate solutions. There were 29 one-hour talks and a total of seven half-hour talks, mostly by the students. In addition two round table discussions were organised to bring the important topics that still need careful consideration. One was devoted to questions and unsolved problems in Chaos, in particular Quantum Chaos. The other round table discussion considered the outstanding problems in Fundamental Interactions. There were extensive discussions during the two hours devoted to each area. Applications and development of new and diverse techniques was the real focus of these discussions. The conference was ably organised by the local committee consisting of D.U.

Open Quantum Systems III

Author : Stéphane Attal
Publisher : Springer
ISBN 13 : 3540339671
Total Pages : 314 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Open Quantum Systems III by : Stéphane Attal

Download or read book Open Quantum Systems III written by Stéphane Attal and published by Springer. This book was released on 2006-08-18 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the third and last of a series devoted to the lecture notes of the Grenoble Summer School on “Open Quantum Systems” which took place at the th th Institut Fourier from June 16 to July 4 2003. The contributions presented in this volumecorrespondtoexpanded versionsofthelecturenotesprovidedbytheauthors to the students of the Summer School. The corresponding lectures were scheduled in the last part of the School devoted to recent developments in the study of Open Quantum Systems. Whereas the rst two volumes were dedicated to a detailed exposition of the mathematical techniques and physical concepts relevant in the study of Open S- tems with noapriori pre-requisites, the contributions presented in this volume request from the reader some familiarity with these aspects. Indeed, the material presented here aims at leading the reader already acquainted with the basics in ? quantum statistical mechanics, spectral theory of linear operators,C -dynamical systems, and quantum stochastic differential equations to the front of the current research done on various aspects of Open Quantum Systems. Nevertheless, pe- gogical efforts have been made by the various authors of these notes so that this volume should be essentially self-contained for a reader with minimal previous - posure to the themes listed above. In any case, the reader in need of complements can always turn to these rst two volumes. The topics covered in these lectures notes start with an introduction to n- equilibrium quantum statistical mechanics.

Quantum Dynamical Semigroups and Applications

Author : Robert Alicki
Publisher : Springer
ISBN 13 : 3540708618
Total Pages : 129 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Quantum Dynamical Semigroups and Applications by : Robert Alicki

Download or read book Quantum Dynamical Semigroups and Applications written by Robert Alicki and published by Springer. This book was released on 2007-04-03 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reinvigorated by advances and insights the quantum theory of irreversible processes has recently attracted growing attention. This volume introduces the very basic concepts of semigroup dynamics of open quantum systems and reviews a variety of modern applications. Originally published as Volume 286 (1987) in Lecture in Physics, this volume has been newly typeset, revised and corrected and also expanded to include a review on recent developments.

Chaotic Dynamics and Transport in Classical and Quantum Systems

Author : Pierre Collet
Publisher : Springer Science & Business Media
ISBN 13 : 1402029470
Total Pages : 456 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Chaotic Dynamics and Transport in Classical and Quantum Systems by : Pierre Collet

Download or read book Chaotic Dynamics and Transport in Classical and Quantum Systems written by Pierre Collet and published by Springer Science & Business Media. This book was released on 2005-07-28 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the 18th to the 30th August 2003 , a NATO Advanced Study Institute (ASI) was held in Cargèse, Corsica, France. Cargèse is a nice small village situated by the mediterranean sea and the Institut d'Etudes Scientifiques de Cargese provides ? a traditional place to organize Theoretical Physics Summer Schools and Workshops * in a closed and well equiped place. The ASI was an International Summer School on "Chaotic Dynamics and Transport in Classical and Quantum Systems". The main goal of the school was to develop the mutual interaction between Physics and Mathematics concerning statistical properties of classical and quantum dynamical systems. Various experimental and numerical observations have shown new phenomena of chaotic and anomalous transport, fractal structures, chaos in physics accelerators and in cooled atoms inside atom-optics billiards, space-time chaos, fluctuations far from equilibrium, quantum decoherence etc. New theoretical methods have been developed in order to modelize and to understand these phenomena (volume preserving and ergodic dynamical systems, non-equilibrium statistical dynamics, fractional kinetics, coupled maps, space-time entropy, quantum dissipative processes etc). The school gathered a team of specialists from several horizons lecturing and discussing on the achievements, perspectives and open problems (both fundamental and applied).

The Control Handbook

Author : William S. Levine
Publisher : CRC Press
ISBN 13 : 1420073613
Total Pages : 944 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Control Handbook by : William S. Levine

Download or read book The Control Handbook written by William S. Levine and published by CRC Press. This book was released on 2018-10-08 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition organizes cutting-edge contributions from more than 200 leading experts. The second volume, Control System Applications, includes 35 entirely new applications organized by subject area. Covering the design and use of control systems, this volume includes applications for: Automobiles, including PEM fuel cells Aerospace Industrial control of machines and processes Biomedical uses, including robotic surgery and drug discovery and development Electronics and communication networks Other applications are included in a section that reflects the multidisciplinary nature of control system work. These include applications for the construction of financial portfolios, earthquake response control for civil structures, quantum estimation and control, and the modeling and control of air conditioning and refrigeration systems. As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances. Progressively organized, the other two volumes in the set include: Control System Fundamentals Control System Advanced Methods

The Conceptual Foundations of Quantum Mechanics

Author : Jeffrey A. Barrett
Publisher : Oxford University Press, USA
ISBN 13 : 0198844689
Total Pages : 268 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis The Conceptual Foundations of Quantum Mechanics by : Jeffrey A. Barrett

Download or read book The Conceptual Foundations of Quantum Mechanics written by Jeffrey A. Barrett and published by Oxford University Press, USA. This book was released on 2020-01-02 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book starts with a description of classical mechanics then discusses the quantum phenomena that require us to give up our commonsense classical intuitions. We consider the physical and conceptual arguments that led to the standard von Neumann-Dirac formulation of quantum mechanics and how the standard theory explains quantum phenomena. This includes a discussion of how the theory's two dynamical laws work with the standard interpretation of states to explain determinate measurement records, quantum statistics, interference effects, entanglement, decoherence, and quantum nonlocality. A careful understanding of how the standard theory works ultimately leads to the quantum measurement problem. We consider how the measurement problem threatens the logical consistency of the standard theory then turn to a discussion of the main proposals for resolving it. This includes collapse formulations of quantum mechanics like Wigner's extension of the standard theory and the GRW approach and no-collapse formulations like pure wave mechanics, the various many-worlds theories, and Bohmian mechanics. In discussing alternative formulations of quantum mechanics we pay particular attention to the explanatory role played by each theory's empirical ontology and associated metaphysical commitments and the conceptual trade-offs between theoretical options"--

The Control Handbook (three volume set)

Author : William S. Levine
Publisher : CRC Press
ISBN 13 : 1420073672
Total Pages : 3526 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Control Handbook (three volume set) by : William S. Levine

Download or read book The Control Handbook (three volume set) written by William S. Levine and published by CRC Press. This book was released on 2018-10-08 with total page 3526 pages. Available in PDF, EPUB and Kindle. Book excerpt: At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition brilliantly organizes cutting-edge contributions from more than 200 leading experts representing every corner of the globe. They cover everything from basic closed-loop systems to multi-agent adaptive systems and from the control of electric motors to the control of complex networks. Progressively organized, the three volume set includes: Control System Fundamentals Control System Applications Control System Advanced Methods Any practicing engineer, student, or researcher working in fields as diverse as electronics, aeronautics, or biomedicine will find this handbook to be a time-saving resource filled with invaluable formulas, models, methods, and innovative thinking. In fact, any physicist, biologist, mathematician, or researcher in any number of fields developing or improving products and systems will find the answers and ideas they need. As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.