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Bifurcation and Chaos in Discontinuous and Continuous Systems (Nonlinear Physical Science)

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Synopses & Reviews

Publisher Comments:

"Bifurcation and Chaos in Discontinuous and Continuous Systems" provides rigorous mathematical functional-analytical tools for handling chaotic bifurcations along with precise and complete proofs together with concrete applications presented by many stimulating and illustrating examples. A broad variety of nonlinear problems are studied involving difference equations, ordinary and partial differential equations, differential equations with impulses, piecewise smooth differential equations, differential and difference inclusions, and differential equations on infinite lattices as well. This book is intended for mathematicians, physicists, theoretically inclined engineers and postgraduate students either studying oscillations of nonlinear mechanical systems or investigating vibrations of strings and beams, and electrical circuits by applying the modern theory of bifurcation methods in dynamical systems. Dr. Michal Fečkan is a Professor at the Department of Mathematical Analysis and Numerical Mathematics on the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovakia. He is working on nonlinear functional analysis, bifurcation theory and dynamical systems with applications to mechanics and vibrations.

Synopsis:

Providing rigorous functional-analytical tools, this volume illustrates how to handle chaotic bifurcations. The text presents precise proofs, as well as concrete applications and examples.

Table of Contents

Preliminary Results.- Discrete Dynamical Systems and Chaos.- Chaos in ODE.- Chaos in PDE.- Chaos in Discontinuous ODE.- Miscellaneous Topics.-

Product Details

ISBN:
9783642182686
Author:
Feckan, Michal
Publisher:
Springer
Author:
Fekan, Michal
Location:
Berlin, Heidelberg
Subject:
Mathematical Physics
Subject:
analytical proof
Subject:
bifurcation methods
Subject:
Bifurcation theory
Subject:
chaos in ODE
Subject:
chaos in PDE
Subject:
chaotic bifurcations
Subject:
DYNAMICAL SYSTEMS
Subject:
sliding stick-slip systems
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Mechanics
Subject:
Dynamical Systems and Ergodic Theory
Subject:
Vibration, Dynamical Systems, Control
Subject:
Analysis
Subject:
Physics-Math
Subject:
Physics
Subject:
B
Subject:
Physics and Astronomy
Subject:
Differentiable dynamical systems
Subject:
Vibration
Subject:
Global analysis (Mathematics)
Copyright:
Edition Description:
2011
Series:
Nonlinear Physical Science
Publication Date:
20110628
Binding:
HARDCOVER
Language:
English
Pages:
390
Dimensions:
235 x 155 mm

Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Popular Chaos and Fractals
Science and Mathematics » Physics » Classical Mechanics
Science and Mathematics » Physics » Math

Bifurcation and Chaos in Discontinuous and Continuous Systems (Nonlinear Physical Science) New Hardcover
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Product details 390 pages Springer - English 9783642182686 Reviews:
"Synopsis" by , Providing rigorous functional-analytical tools, this volume illustrates how to handle chaotic bifurcations. The text presents precise proofs, as well as concrete applications and examples.
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