The Dynamics of Two Coupled Van Der Pol Oscillators with Delay Coupling

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Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Dynamics of Two Coupled Van Der Pol Oscillators with Delay Coupling by : Stephen Allen Wirkus

Download or read book The Dynamics of Two Coupled Van Der Pol Oscillators with Delay Coupling written by Stephen Allen Wirkus and published by . This book was released on 1999 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics And Control Of Hybrid Mechanical Systems

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Publisher : World Scientific
ISBN 13 : 9814467014
Total Pages : 261 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Dynamics And Control Of Hybrid Mechanical Systems by : Gennady A Leonov

Download or read book Dynamics And Control Of Hybrid Mechanical Systems written by Gennady A Leonov and published by World Scientific. This book was released on 2010-01-13 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this edited volume aim to provide a better understanding of the dynamics and control of a large class of hybrid dynamical systems that are described by different models in different state space domains. They not only cover important aspects and tools for hybrid systems analysis and control, but also a number of experimental realizations. Special attention is given to synchronization — a universal phenomenon in nonlinear science that gained tremendous significance since its discovery by Huygens in the 17th century. Possible applications of the results introduced in the book include control of mobile robots, control of CD/DVD players, flexible manufacturing lines, and complex networks of interacting agents.The book is based on the material presented at a similarly entitled minisymposium at the 6th European Nonlinear Dynamics Conference held in St Petersburg in 2008. It is unique in that it contains results of several international and interdisciplinary collaborations in the field, and reflects state-of-the-art technological development in the area of hybrid mechanical systems at the forefront of the 21st century.

Synchronization

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Publisher : Springer Science & Business Media
ISBN 13 : 3540721282
Total Pages : 426 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Synchronization by : Alexander Balanov

Download or read book Synchronization written by Alexander Balanov and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

Biological Clocks, Rhythms, and Oscillations

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Publisher : MIT Press
ISBN 13 : 0262552817
Total Pages : 369 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Biological Clocks, Rhythms, and Oscillations by : Daniel B. Forger

Download or read book Biological Clocks, Rhythms, and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2024-08-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.

Nonlinear Structural Dynamics and Damping

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Publisher : Springer
ISBN 13 : 3030133176
Total Pages : 324 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Nonlinear Structural Dynamics and Damping by : Juan Carlos Jauregui

Download or read book Nonlinear Structural Dynamics and Damping written by Juan Carlos Jauregui and published by Springer. This book was released on 2019-03-14 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles recent research in the field of nonlinear dynamics, vibrations and damping applied to engineering structures. It addresses the modeling of nonlinear vibrations in beams, frames and complex mechanical systems, as well as the modeling of damping systems and viscoelastic materials applied to structural dynamics. The book includes several chapters related to solution techniques and signal analysis techniques. Last but not least, it deals with the identification of nonlinear responses applied to condition monitoring systems.

Nonlinear Dynamics

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Publisher : World Scientific
ISBN 13 : 9789810229825
Total Pages : 254 pages
Book Rating : 4.2/5 (298 download)

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Book Synopsis Nonlinear Dynamics by : Ard‚shir Guran

Download or read book Nonlinear Dynamics written by Ard‚shir Guran and published by World Scientific. This book was released on 1997 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers on the subject of nonlinear dynamics and its applications written by experts in this field. It offers the reader a sampling of exciting research areas in this fast-growing field. The topics covered include chaos, tools to analyze motions, fractal boundaries, dynamics of the Fitzhugh-Nagumo equation, structural control, separation of contaminations from signal of interest, parametric excitation, stochastic bifurcation, mode localization in repetitive structures, Toda lattice, transition from soliton to chaotic motion, nonlinear normal modes, noise perturbations of nonlinear dynamical systems, and phase locking of coupled limit cycle oscillators. Mathematical methods include Lie transforms, Monte Carlo simulations, stochastic calculus, perturbation methods and proper orthogonal decomposition. Applications include gyrodynamics, tether connected satellites, shell buckling, nonlinear circuits, volume oscillations of a large lake, systems with stick-slip friction, imperfect or disordered structures, overturning of rigid blocks, central pattern generators, flow induced oscillations, shape control and vibration suppression of elastic structures.All of these diverse contributions have a common thread: the world of nonlinear behavior. Although linear dynamics is an invaluable tool, there are many problems where nonlinear effects are essential. Some examples include bifurcation of solutions, stability of motion, the effects of large displacements, and subharmonic resonance. This book shows how nonlinear dynamics is currently being utilized and investigated. It will be of interest to engineers, applied mathematicians and physicists.

Nonlinear Dynamics and Chaos

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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.

Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 1402087357
Total Pages : 580 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering by : Khaled Elleithy

Download or read book Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering written by Khaled Elleithy and published by Springer Science & Business Media. This book was released on 2008-08-17 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Computer Science, Software Engineering, Computer Engineering, and Systems Engineering and Sciences. Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering includes selected papers form the conference proceedings of the International Conference on Systems, Computing Sciences and Software Engineering (SCSS 2007) which was part of the International Joint Conferences on Computer, Information and Systems Sciences and Engineering (CISSE 2007).

Bifurcation Analysis of Two Weakly Coupled Van Der Pol Oscillators

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Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Bifurcation Analysis of Two Weakly Coupled Van Der Pol Oscillators by : Tapesh Chakraborty

Download or read book Bifurcation Analysis of Two Weakly Coupled Van Der Pol Oscillators written by Tapesh Chakraborty and published by . This book was released on 1987 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Galileo Unbound

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Publisher : Oxford University Press
ISBN 13 : 0192528505
Total Pages : 384 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Galileo Unbound by : David D. Nolte

Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Introduction to Modern Dynamics

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ISBN 13 : 019884462X
Total Pages : 498 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Introduction to Modern Dynamics by : D. D. Nolte

Download or read book Introduction to Modern Dynamics written by D. D. Nolte and published by . This book was released on 2019 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unifying approach to the physics of chaos, nonlinear systems, dynamic networks, evolutionary dynamics, econophysics, and the theory of relativity. Each chapter has many worked examples and simple computer simulations that allow the student to explore the rich phenomena of nonlinear physics.

Advances in Nonlinear Dynamics and Control of Mechanical and Physical Systems

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Publisher : Springer Nature
ISBN 13 : 9819979587
Total Pages : 286 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Advances in Nonlinear Dynamics and Control of Mechanical and Physical Systems by : Mohamed Belhaq

Download or read book Advances in Nonlinear Dynamics and Control of Mechanical and Physical Systems written by Mohamed Belhaq and published by Springer Nature. This book was released on with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes and Functional Analysis

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Publisher : CRC Press
ISBN 13 : 9780203913574
Total Pages : 526 pages
Book Rating : 4.9/5 (135 download)

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Book Synopsis Stochastic Processes and Functional Analysis by : Alan C. Krinik

Download or read book Stochastic Processes and Functional Analysis written by Alan C. Krinik and published by CRC Press. This book was released on 2004-03-23 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochas

Formal Modeling and Analysis of Timed Systems

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Publisher : Springer Nature
ISBN 13 : 3030576280
Total Pages : 301 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Formal Modeling and Analysis of Timed Systems by : Nathalie Bertrand

Download or read book Formal Modeling and Analysis of Timed Systems written by Nathalie Bertrand and published by Springer Nature. This book was released on 2020-08-25 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th International Conference on Formal Modeling and Analysis of Timed Systems, FORMATS 2020, held in Vienna, Austria, in September 2020. The 16 full papers and 2 short papers presented in this volume were carefully reviewed and selected from 42 submissions. The papers focus on topics such as foundations and semantics, methods and tools, techniques, algorithms, data structures, and software tools for analyzing timed systems and resolving temporal constraints. Due to the Corona pandemic this conference was held as a virtual event.

Advances in Stochastic Structural Dynamics

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Publisher : CRC Press
ISBN 13 : 0203492951
Total Pages : 626 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Advances in Stochastic Structural Dynamics by : W. Q. Zhu

Download or read book Advances in Stochastic Structural Dynamics written by W. Q. Zhu and published by CRC Press. This book was released on 2003-05-13 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of technical papers presented at the 5th International Conference on Stochastic Structural Dynamics (SSD03) in Hangzhou, China during May 26-28, 2003. Topics include direct transfer substructure method for random response analysis, generation of bounded stochastic processes, and sample path behavior of Gaussian processes.

Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures

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Publisher : Springer
ISBN 13 : 9811046662
Total Pages : 448 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures by : Leonid I. Manevitch

Download or read book Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures written by Leonid I. Manevitch and published by Springer. This book was released on 2017-07-25 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book suggests a new common approach to the study of resonance energy transport based on the recently developed concept of Limiting Phase Trajectories (LPTs), presenting applications of the approach to significant nonlinear problems from different fields of physics and mechanics. In order to highlight the novelty and perspectives of the developed approach, it places the LPT concept in the context of dynamical phenomena related to the energy transfer problems and applies the theory to numerous problems of practical importance. This approach leads to the conclusion that strongly nonstationary resonance processes in nonlinear oscillator arrays and nanostructures are characterized either by maximum possible energy exchange between the clusters of oscillators (coherence domains) or by maximum energy transfer from an external source of energy to the chain. The trajectories corresponding to these processes are referred to as LPTs. The development and the use of the LPTs concept a re motivated by the fact that non-stationary processes in a broad variety of finite-dimensional physical models are beyond the well-known paradigm of nonlinear normal modes (NNMs), which is fully justified either for stationary processes or for nonstationary non-resonance processes described exactly or approximately by the combinations of the non-resonant normal modes. Thus, the role of LPTs in understanding and analyzing of intense resonance energy transfer is similar to the role of NNMs for the stationary processes. The book is a valuable resource for engineers needing to deal effectively with the problems arising in the fields of mechanical and physical applications, when the natural physical model is quite complicated. At the same time, the mathematical analysis means that it is of interest to researchers working on the theory and numerical investigation of nonlinear oscillations.

Elegant Chaos: Algebraically Simple Chaotic Flows

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Publisher : World Scientific
ISBN 13 : 9814468673
Total Pages : 302 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Elegant Chaos: Algebraically Simple Chaotic Flows by : Julien Clinton Sprott

Download or read book Elegant Chaos: Algebraically Simple Chaotic Flows written by Julien Clinton Sprott and published by World Scientific. This book was released on 2010-03-22 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.