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Saturday, May 16, 2020 | History

2 edition of Nonlinear chaotic systems found in the catalog.

Nonlinear chaotic systems

L. A. Aguirre

Nonlinear chaotic systems

approaches and implications for science and engineering : a tutorial

by L. A. Aguirre

  • 28 Want to read
  • 35 Currently reading

Published by University of Sheffield, Dept. of Automatic Control and Systems Engineering in Sheffield .
Written in English


Edition Notes

StatementL.A. Aguirre and S.A.Billings.
SeriesResearch report / University of Sheffield. Department of Automatic Control and Systems Engineering -- no.568, Research report (University of Sheffield. Department of Automatic Control and Systems Engineering) -- no.568.
ContributionsBillings, S. A.
ID Numbers
Open LibraryOL21203416M

One-dimensional systems and elementary bifurcations. Two-dimensional systems; phase plane analysis, limit cycles, Poincaré-Bendixson theory. Nonlinear Oscillators, qualitative and approximate asymptotic techniques, Hopf bifurcations. Lorenz and Rossler equations, chaos. This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have .

The book explains how to determine whether the fixed point of the nonlinear system is stable or unstable when the pole of the system is zero by using Taylor series. It spans the system from Hamiltonian to Lagrangian and expand the aforementioned methodology to analyze the byfurcation phenomenon.5/5(5). Differential equations, dynamical systems, and an introduction to chaos/Morris W. Hirsch, Stephen Smale, Robert L. Devaney. p. cm. Rev. ed. of: Differential equations, dynamical systems, and linear algebra/Morris W. Hirsch and Stephen Smale. Includes bibliographical references and index. ISBN (alk. paper).

Purchase Fractional Order Systems - 1st Edition. Print Book & E-Book. ISBN , Hirsch, Devaney, and Smale’s classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and.


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Nonlinear chaotic systems by L. A. Aguirre Download PDF EPUB FB2

This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have made important contributions by: There are many dynamical systems / chaos books that are pretty good, but this book is a bible for dynamical systems.

The most comprehensive text book I have seen in this subject. The book seems a bit heavy on the material from the first glance but Nonlinear chaotic systems book you start reading you wont be dissatisfied/5(4).

Nonlinear dynamics and chaos involves the study of apparent random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences.

Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and by: This book deals with the various thermodynamic concepts used for the analysis of nonlinear dynamical systems.

The most important invariants used to characterize chaotic systems are introduced in a way that stresses the interconnections with thermodynamics and statistical : $ Chaotic Dynamics of Nonlinear Systems (Dover Books on Physics) Reprint Edition, Kindle Edition S.

Neil Rasband (Author) Format: Kindle Edition Written when the young science of chaos was gaining a foothold in the scientific community, this book introduces 5/5(1). "Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book.

Description of the chaotic systems is clearlyBrand: Springer-Verlag Berlin Heidelberg. In this chapter, a novel chaotic system characterized by only one nonlinear term is introduced. This single term is composed by a piecewise nonlinear function taken as the only chaotic generator. On the other hand, the proposed chaotic system is based on the jerk equation, which has a simple algebraic structure highly adapted for circuit design.

Nonlinear dynamics and chaos involves the study of apparent randomhappenings within a system or process. The subject has wideapplications within mathematics, engineering, physics and otherphysical sciences. Since the bestselling first edition waspublished, there has been a lot of new research conducted in thearea of nonlinear dynamics and chaos.

New developments in nonlineardynamics, chaos and complexity arecausing a revolution in science. The exciting development of newconcepts and tools in Nonlinear Science calls for a broad spectrum ofpublications at different levels.

This new series will includemonographs, treatises, edited. This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems.

Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently-random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions.

Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are underlying patterns. Chaotic Dynamics of Nonlinear Systems - Ebook written by S. Neil Rasband. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Chaotic Dynamics of Nonlinear : S. Neil Rasband. 'This second edition updates and expands the first edition. This very comprehensive book on chaotic dynamics is intended to use in a graduate course for scientists and engineers.

It can also be used as a reference for researchers in the field of nonlinear dynamics.' Source: Zentralblatt für MathematikCited by: About this book Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences.

The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book/5.

The contributions in this book series cover a broad range of interdisciplinary topics between mathematics, circuits, realizations, and practical applications related to nonlinear dynamical systems, nanotechnology, fractals, bifurcation, discrete and continuous chaotic systems, recent techniques for control and synchronization of chaotic systems.

Nonlinear Dynamics provides a forum for the rapid publication of original research in the field. The journal’s scope encompasses all nonlinear dynamic phenomena associated with mechanical, structural, civil, aeronautical, ocean, electrical, and control systems. Even though this system is highly nonlinear, it does not exhibit chaotic dynamics.

There is only the single degree of freedom associated with x and the right-hand side is the constant zero. If, instead, we replaced the zero in () with some function f(x, t), then the system becomes nonautonomous and may exhibit chaotic dynamics, depending of Author: S.

Neil Rasband. For example, the book covers aspects related to robot manipulators, aircraft flight control systems, power systems, mechanical systems, biological systems and chaotic systems.

This multifaceted view of subject areas means that this useful reference resource will be ideal for a large cross section of the mechanical engineering Edition: 1. The chaotic behavior was presented in a book [8].The recent literature on nonlinear dynamics can be found in a Resource Letter [9] and the didactic experience with commercial chaotic pendulums is Author: Ioan Grosu.

Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security.

The book covers the mathematical background and literature survey of fractional-order calculus and.The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.

Discover the.Written when the young science of chaos was gaining a foothold in the scientific community, this book introduces the field's concepts, applications, theory, and technique. Suitable for advanced undergraduates and graduate students, researchers, and teachers of mathematics, physics, and engineering, the text's major prerequisite is familiarity with differential equations and linear vector.