Last edited by Shakashura
Thursday, July 16, 2020 | History

2 edition of Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems (Advanced Series in Dynamical Systems) found in the catalog.

Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems (Advanced Series in Dynamical Systems)

H. Kawakami

Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems (Advanced Series in Dynamical Systems)

by H. Kawakami

  • 318 Want to read
  • 37 Currently reading

Published by World Scientific Pub Co Inc .
Written in English

    Subjects:
  • Applied mathematics,
  • PHYSICS,
  • Technology: General Issues,
  • Mechanics - Dynamics - General,
  • Mathematical Physics,
  • Science,
  • Science/Mathematics

  • The Physical Object
    FormatHardcover
    Number of Pages350
    ID Numbers
    Open LibraryOL13167342M
    ISBN 109810200536
    ISBN 109789810200534

    Lee, Byongjun, "The application of bifurcation theory to study the nonlinear dynamical phenomena in an electrical power system" ().Retrospective Theses and Dissertations.   Nonlinearity, Bifurcation and Chaos - Theory and Application is an edited book focused on introducing both theoretical and application oriented approaches in science and engineering. It contains 12 chapters, and is recommended for university teachers, scientists, researchers, engineers, as well as graduate and post-graduate students either working or interested .

    @article{osti_, title = {Nonlinear stability and bifurcation theory}, author = {Troger, H and Steindl, A}, abstractNote = {There are now well over fifty books available on nonlinear science and chaos theory. In the past year alone, six new technical journals appeared in these areas. (Some of them may even survive). Much of the activity has been in the physics and mathematics communities.   Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems (ADVANCED SERIES IN DYNAMICAL SYSTEMS) by H. Kawakami (Editor) ISBN

    From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Wolfram Data Framework Semantic framework for real-world data. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha.


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Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems (Advanced Series in Dynamical Systems) by H. Kawakami Download PDF EPUB FB2

Bifurcation Theory of Dynamical Chaos. By Nikolai A. Magnitskii Mackey-Glass equation and many others. These systems describe processes and the phenomena in all areas of scientific researches.

Lorenz system is a hydrodynamic system, Ressler system is a chemical system, Chua system describes the electro technical processes, Magnitskii system Cited by: 1. 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. Get this from a library. Bifurcation phenomena in nonlinear systems and theory of dynamical systems: JulyKyoto, Japan.

[Hiroshi. Bifurcation analyses of nonlinear dynamical systems: From theory to numerical computations Article (PDF Available) in Nonlinear Theory and Its Applications IEICE 3(4) October with.

This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. This book presents a detailed analysis of bifurcation and chaos in simple non-linear systems, based on previous works of the author.

Practical examples for mechanical and biomechanical systems are discussed. The use of both numerical and analytical approaches allows for a deeper insight into non-linear dynamical phenomena.

System Upgrade on Feb 12th During this period, E-commerce and registration of new users may not be available for up to 12 hours. For online purchase, please visit us again.

Section 2 briefly describes the basic theory of bifurcation in nonlinear dynamical systems. Section 3 summarizes the numerical computation for the bifurcation analysis.

It also illustrates our method by using it to analyze a typical non-autonomous system. Section 4 is the conclusion. Basic theory of bifurcation analysis. complementary reference is the book of Golubitsky-Stewart-Schae er [3]. For an elementary review on functional analysis the book of Brezis is recommanded [1].

1Elementary bifurcation De nition In dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes a.

We extend a refined version of the subharmonic Melnikov method to piecewise-smooth systems and demonstrate the theory for bi- and trilinear oscillators. Fundamental results for approximating solutions of piecewise-smooth systems by those of smooth systems are given and used to obtain the main result.

Special attention is paid to degenerate resonance behavior, and analytical results are. The book presents the recent achievements on bifurcation studies of nonlinear dynamical systems. The contributing authors of the book are all distinguished researchers in this interesting subject area.

The first two chapters deal with the fundamental theoretical issues of bifurcation analysis in smooth and non-smooth dynamical systems. This paper deals with the maximum number of limit cycles, which can be bifurcated from periodic orbits of planar piecewise smooth Hamiltonian systems, which are located in a neighborhood of a generalized homoclinic loop with a nilpotent saddle on a switch line.

First we present asymptotic expressions of the Melnikov functions near the loop. The favorable reaction to the first edition of this book confirmed that the publication of such an application-oriented text on bifurcation theory of dynamical systems was well timed.

The selected topics indeed cover ma-jor practical issues of applying the bifurcation theory. Nonlinear Dynamics and Chaos by Steven Strogatz is a great introductory text for dynamical systems.

The writing style is somewhat informal, and the perspective is very "applied." It includes topics from bifurcation theory, continuous and discrete dynamical systems, Liapunov functions, etc.

The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bi. Woon S. Gan, in Control and Dynamic Systems, I HISTORY OF CHAOS.

Chaos occurs only duing nonlinear phenomena. It is deterministic in nature and originates from nonlinear dynamical systems. Hence to trace the history of chaos one has to start with nonlinear dynamical systems.

The history of nonlinear dynamical systems begins with Poincare. Abstract: A tutorial introduction in bifurcation theory is given, and the applicability of this theory to study nonlinear dynamical phenomena in a power system network is explored.

The predicted behavior is verified through time simulation. Systematic application of the theory revealed the existence of stable and unstable periodic solutions as well as voltage collapse. Nonlinear processes, such as advection, radiation and turbulent mixing, play a central role in climate variability.

These processes can give rise to transition phenomena, associated with tipping or bifurcation points, once external conditions are changed. The theory of dynamical systems provides a systematic way to study these transition phenomena.

The paper proposes a time-delayed hyperchaotic system composed of multiscroll attractors with multiple positive Lyapunov exponents (LEs), which are described by a three-order nonl.

A dynamical system is a manifold M called the phase (or state) space endowed with a family of smooth evolution functions Φ t that for any element of t ∈ T, the time, map a point of the phase space back into the phase space.

The notion of smoothness changes with applications and the type of manifold. There are several choices for the set T is taken to be the reals, the dynamical. The nonlinear time evolution and stability of a dynamical system, e.g., an engineering or physical system described by coupled nonlinear differential equations (DEs), are intimately related to the local bifurcation phenomena that arise in the steady-state form of the DEs.}, doi = {}, journal = {Trans.

Am. Nucl. Soc.; (United States)}, number.Introduction to Dynamic Systems; Nonlinear Dynamic Systems; Bifurcation Diagram; Sensitivity to Initial Conditions () as a starting point to discuss psychological phenomena that exhibit oscillations (for example, mood swings, states of consciousness, attitude changes).

A visual introduction to dynamical systems theory for psychology.Qualitative Theory of Dynamical Systems() Path-following analysis of the dynamical response of a piecewise-linear capsule system.

Communications in Nonlinear Science and Numerical Simulat