Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors

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Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors

Author : Christos Volos
Publisher : MDPI
ISBN 13 : 3038978981
Total Pages : 290 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors by : Christos Volos

Download or read book Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors written by Christos Volos and published by MDPI. This book was released on 2019-05-03 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors

Author : Jesus M. Munoz-Pacheco
Publisher :
ISBN 13 : 9783038978992
Total Pages : 1 pages
Book Rating : 4.9/5 (789 download)

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Book Synopsis Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors by : Jesus M. Munoz-Pacheco

Download or read book Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors written by Jesus M. Munoz-Pacheco and published by . This book was released on 2019 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

Author : Viet-Thanh Pham
Publisher : Springer
ISBN 13 : 3319712438
Total Pages : 497 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors by : Viet-Thanh Pham

Download or read book Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors written by Viet-Thanh Pham and published by Springer. This book was released on 2018-02-26 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.

High-Entropy Materials: Theory, Experiments, and Applications

Author : Jamieson Brechtl
Publisher : Springer Nature
ISBN 13 : 3030776417
Total Pages : 776 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis High-Entropy Materials: Theory, Experiments, and Applications by : Jamieson Brechtl

Download or read book High-Entropy Materials: Theory, Experiments, and Applications written by Jamieson Brechtl and published by Springer Nature. This book was released on 2022-01-03 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses fundamental studies involving the history, modelling, simulation, experimental work, and applications on high-entropy materials. Topics include data-driven and machine-learning approaches, additive-manufacturing techniques, computational and analytical methods, such as density functional theory and multifractal analysis, mechanical behavior, high-throughput methods, and irradiation effects. The types of high-entropy materials consist of alloys, oxides, and ceramics. The book then concludes with a discussion on potential future applications of these novel materials.

Complex Concentrated Alloys (CCAs)

Author : Sundeep Mukherjee
Publisher : MDPI
ISBN 13 : 3039434748
Total Pages : 278 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Complex Concentrated Alloys (CCAs) by : Sundeep Mukherjee

Download or read book Complex Concentrated Alloys (CCAs) written by Sundeep Mukherjee and published by MDPI. This book was released on 2020-11-04 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of several unique articles on the current state of research on complex concentrated alloys, as well as their compelling future opportunities in wide ranging applications. Complex concentrated alloys consist of multiple principal elements and represent a new paradigm in structural alloy design. They show a range of exceptional properties that are unachievable in conventional alloys, including high strength–ductility combination, resistance to oxidation, corrosion/wear resistance, and excellent high-temperature properties. The research articles, reviews, and perspectives are intended to provide a wholistic view of this multidisciplinary subject of interest to scientists and engineers.

Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization

Author : Esteban Tlelo-Cuautle
Publisher : CRC Press
ISBN 13 : 100034665X
Total Pages : 266 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization by : Esteban Tlelo-Cuautle

Download or read book Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization written by Esteban Tlelo-Cuautle and published by CRC Press. This book was released on 2021-05-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians have devised different chaotic systems that are modeled by integer or fractional-order differential equations, and whose mathematical models can generate chaos or hyperchaos. The numerical methods to simulate those integer and fractional-order chaotic systems are quite different and their exactness is responsible in the evaluation of characteristics like Lyapunov exponents, Kaplan-Yorke dimension, and entropy. One challenge is estimating the step-size to run a numerical method. It can be done analyzing the eigenvalues of self-excited attractors, while for hidden attractors it is difficult to evaluate the equilibrium points that are required to formulate the Jacobian matrices. Time simulation of fractional-order chaotic oscillators also requires estimating a memory length to achieve exact results, and it is associated to memories in hardware design. In this manner, simulating chaotic/hyperchaotic oscillators of integer/fractional-order and with self-excited/hidden attractors is quite important to evaluate their Lyapunov exponents, Kaplan-Yorke dimension and entropy. Further, to improve the dynamics of the oscillators, their main characteristics can be optimized applying metaheuristics, which basically consists of varying the values of the coefficients of a mathematical model. The optimized models can then be implemented using commercially available amplifiers, field-programmable analog arrays (FPAA), field-programmable gate arrays (FPGA), microcontrollers, graphic processing units, and even using nanometer technology of integrated circuits. The book describes the application of different numerical methods to simulate integer/fractional-order chaotic systems. These methods are used within optimization loops to maximize positive Lyapunov exponents, Kaplan-Yorke dimension, and entropy. Single and multi-objective optimization approaches applying metaheuristics are described, as well as their tuning techniques to generate feasible solutions that are suitable for electronic implementation. The book details several applications of chaotic oscillators such as in random bit/number generators, cryptography, secure communications, robotics, and Internet of Things.

Applications and Techniques in Information Security

Author : V. S. Shankar Sriram
Publisher : Springer Nature
ISBN 13 : 9811508712
Total Pages : 315 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Applications and Techniques in Information Security by : V. S. Shankar Sriram

Download or read book Applications and Techniques in Information Security written by V. S. Shankar Sriram and published by Springer Nature. This book was released on 2019-11-15 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Applications and Techniques in Information Security, ATIS 2019, held in Tamil Nadul, India, in November 2019. The 22 full papers and 2 short papers presented in the volume were carefully reviewed and selected from 50 submissions. The papers are organized in the following topical sections: information security; network security; intrusion detection system; authentication and key management system; security centric applications.

Generation Of Self-excited, Hidden And Non-self-excited Attractors In Piecewise Linear Systems: Some Recent Approaches

Author : Eric Campos Canton
Publisher : World Scientific
ISBN 13 : 9811274134
Total Pages : 192 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Generation Of Self-excited, Hidden And Non-self-excited Attractors In Piecewise Linear Systems: Some Recent Approaches by : Eric Campos Canton

Download or read book Generation Of Self-excited, Hidden And Non-self-excited Attractors In Piecewise Linear Systems: Some Recent Approaches written by Eric Campos Canton and published by World Scientific. This book was released on 2023-06-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: What kind of dynamics is a piecewise linear system able to display? How may they generate heteroclinic chaos? How can the coexistence of attractors be designed and characterized? Is it necessary to have equilibrium points to generate chaotic behavior? Chaos theory and complex systems are interesting and evolving topics whose investigation from a theoretical and practical point of view constantly leads to arising questions. Interesting behaviors can be observed in self-excited attractors, hidden attractors and non-self-excited attractors.This book presents some fundamentals of linear system theory and recent approaches to design the three classes of chaotic attractors in piecewise linear systems. Each chapter presents a brief description and basic concepts to provide an overview of linear systems theory; chaos and multistability in integer linear systems; hidden and non-self-excited attractors; and fractional approaches. They also provide example systems to illustrate the concepts and design methods introduced. Some current topics under investigation are addressed from an integer order perspective to make the connection with the fractional order counterpart.This textbook provides a comprehensive introduction, methodologies, and analysis tools to study chaotic piecewise linear systems and will be suitable for undergraduate or graduate students interested in the field of chaos and complex dynamics.

Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications

Author : Esteban Tlelo-Cuautle
Publisher : Springer Nature
ISBN 13 : 303031250X
Total Pages : 212 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications by : Esteban Tlelo-Cuautle

Download or read book Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications written by Esteban Tlelo-Cuautle and published by Springer Nature. This book was released on 2019-11-11 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the simulation and optimization of integer and fractional-order chaotic systems, and how they can be implemented in the analog and digital domains using FPAAs and FPGAs. Design guidelines are provided to use commercially available electronic devices, and to perform hardware descriptions of integer/fractional-order chaotic systems programming in VHDL. Finally, several engineering applications oriented to cryptography, internet of things, robotics and chaotic communications, are detailed to highlight the usefulness of FPAA/FPGA based integer/fractional-order chaotic systems. Provides guidelines to implement fractional-order derivatives using commercially available devices; Describes details on using FPAAs to approach fractional-order chaotic systems; Includes details on using FPGAs to approach fractional-order chaotic systems, programming in VHDL and reducing hardware resources; Discusses applications to cryptography, internet of things, robotics and chaotic communications.

Recent Trends In Chaotic, Nonlinear And Complex Dynamics

Author : Jan Awrejcewicz
Publisher : World Scientific
ISBN 13 : 981122191X
Total Pages : 561 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Recent Trends In Chaotic, Nonlinear And Complex Dynamics by : Jan Awrejcewicz

Download or read book Recent Trends In Chaotic, Nonlinear And Complex Dynamics written by Jan Awrejcewicz and published by World Scientific. This book was released on 2021-07-26 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.

Handbook of Research on Modeling, Analysis, and Control of Complex Systems

Author : Azar, Ahmad Taher
Publisher : IGI Global
ISBN 13 : 1799857905
Total Pages : 685 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Modeling, Analysis, and Control of Complex Systems by : Azar, Ahmad Taher

Download or read book Handbook of Research on Modeling, Analysis, and Control of Complex Systems written by Azar, Ahmad Taher and published by IGI Global. This book was released on 2020-12-05 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current literature on dynamic systems is quite comprehensive, and system theory’s mathematical jargon can remain quite complicated. Thus, there is a need for a compendium of accessible research that involves the broad range of fields that dynamic systems can cover, including engineering, life sciences, and the environment, and which can connect researchers in these fields. The Handbook of Research on Modeling, Analysis, and Control of Complex Systems is a comprehensive reference book that describes the recent developments in a wide range of areas including the modeling, analysis, and control of dynamic systems, as well as explores related applications. The book acts as a forum for researchers seeking to understand the latest theory findings and software problem experiments. Covering topics that include chaotic maps, predictive modeling, random bit generation, and software bug prediction, this book is ideal for professionals, academicians, researchers, and students in the fields of electrical engineering, computer science, control engineering, robotics, power systems, and biomedical engineering.

Chaotic Systems with Multistability and Hidden Attractors

Author : Xiong Wang
Publisher :
ISBN 13 : 9783030758226
Total Pages : 0 pages
Book Rating : 4.7/5 (582 download)

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Book Synopsis Chaotic Systems with Multistability and Hidden Attractors by : Xiong Wang

Download or read book Chaotic Systems with Multistability and Hidden Attractors written by Xiong Wang and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of new articles written by world-leading experts and active researchers to present their recent finding and progress in the new area of chaotic systems and dynamics, regarding emerging subjects of unconventional chaotic systems and their complex dynamics.It guide readers directly to the research front of the new scientific studies. This book is unique of its kind in the current literature, presenting broad scientific research topics including multistability and hidden attractors in unconventional chaotic systems, such as chaotic systems without equilibria, with only stable equilibria, with a curve or a surface of equilibria. The book describes many novel phenomena observed from chaotic systems, such as non-Shilnikov type chaos, coexistence of different types of attractors, and spontaneous symmetry breaking in chaotic systems. The book presents state-of-the-art scientific research progress in the field with both theoretical advances and potential applications. This book is suitable for all researchers and professionals in the areas of nonlinear dynamics and complex systems, including research professionals, physicists, applied mathematicians, computer scientists and, in particular, graduate students in related fields.

Complex Systems and Their Applications

Author : Guillermo Huerta Cuéllar
Publisher : Springer Nature
ISBN 13 : 3031024729
Total Pages : 267 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Complex Systems and Their Applications by : Guillermo Huerta Cuéllar

Download or read book Complex Systems and Their Applications written by Guillermo Huerta Cuéllar and published by Springer Nature. This book was released on 2022-06-10 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of scientific articles written by recognized researchers, and select students, participating in the Second Conference on the Study of Complex Systems and their Applications (EDIESCA 2021). EDIESCA 2021 arose from the need for academic and research groups that carry out this scientific research to disseminate their results internationally. The study and characterization of systems with non-linear and/or chaotic behavior has been of great interest to researchers around the world, for which many important results have been obtained with various applications. The dynamic study of chaotic oscillators of different models, such as Rössler, Lorenz, and Chua, has generated important advances in understanding of chemical reactions, meteorological behavior, design of electronic devices, and other applications. Topics at the event included applications for communications systems by masking techniques, financial behavior, networks analysis, nonlinear lasers, numerical modeling, electronic design, and other interesting topics in the area of complex systems. Additionally, there are results on numerical simulation and electronic designs to generate complex dynamic behaviors.

Complex Systems and Their Applications

Author : Eric Campos-Cantón
Publisher : Springer Nature
ISBN 13 : 3031512243
Total Pages : 360 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Complex Systems and Their Applications by : Eric Campos-Cantón

Download or read book Complex Systems and Their Applications written by Eric Campos-Cantón and published by Springer Nature. This book was released on with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of Nonlinear Dynamics

Author : Visarath In
Publisher : Springer Science & Business Media
ISBN 13 : 3540856323
Total Pages : 464 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Applications of Nonlinear Dynamics by : Visarath In

Download or read book Applications of Nonlinear Dynamics written by Visarath In and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Advances in Memristor and Memristor-Based Applications

Author : Jun Mou
Publisher : Frontiers Media SA
ISBN 13 : 283250194X
Total Pages : 143 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Advances in Memristor and Memristor-Based Applications by : Jun Mou

Download or read book Advances in Memristor and Memristor-Based Applications written by Jun Mou and published by Frontiers Media SA. This book was released on 2022-10-11 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics in Complex Systems

Author : Armin Fuchs
Publisher : Springer Science & Business Media
ISBN 13 : 3642335527
Total Pages : 237 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Nonlinear Dynamics in Complex Systems by : Armin Fuchs

Download or read book Nonlinear Dynamics in Complex Systems written by Armin Fuchs and published by Springer Science & Business Media. This book was released on 2012-09-22 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified. This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work. “This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.” “With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of how to handle complex dynamical systems.” “What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically.” (J.A.Scott Kelso, excerpts from the foreword)