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Discontinuous Dynamical Systems on Time-Varying Domains (Nonlinear Physical Science)

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Synopses & Reviews

Publisher Comments:

"Discontinuous Dynamical Systems on Time-varying Domains" is the first monograph focusing on this topic. While in the classic theory of dynamical systems the focus is on dynamical systems on time-invariant domains, this book presents discontinuous dynamical systems on time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed. From such a theory, principles of dynamical system interactions without any physical connections are presented. Several discontinuous systems on time-varying domains are analyzed in detail to show how to apply the theory to practical problems. The book can serve as a reference book for researchers, advanced undergraduate and graduate students in mathematics, physics and mechanics. Dr. Albert C. J. Luo is a professor at Southern Illinois University Edwardsville, USA. His research is involved in the nonlinear theory of dynamical systems. His main contributions are in the following aspects: a stochastic and resonant layer theory in nonlinear Hamiltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body.

Synopsis:

This heavily-illustrated book is the first ever to present discontinuous dynamical systems in time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed.

Table of Contents

Chapter 1. Introduction.- Chapter 2. Flow Switchability.- Chapter 3. Transversal Motion and Sliding Phenomena.- Chapter 4. A Frictional Oscillator on Time-varying Belts.- Chapter 5. Two Systems with Impacts and Stick.- Chapter 6. Dynamical systems with Friction.- Chapter 7. Principles for System Interactions.

Product Details

ISBN:
9783642002526
Author:
Luo, Albert C. J.
Publisher:
Springer
Subject:
Mechanical
Subject:
Mechanics - General
Subject:
Differential Equations
Subject:
Mechanics
Subject:
Bifurcations
Subject:
Discontinuous dynamical systems
Subject:
Nonlinear Dynamics.
Subject:
singularity
Subject:
System interactions
Subject:
Classical Continuum Physics
Subject:
Dynamical Systems and Ergodic Theory
Subject:
Theoretical and Applied Mechanics
Subject:
Mechanical Engineering-General
Copyright:
Edition Description:
Book
Series:
Nonlinear Physical Science
Publication Date:
20090918
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
290
Dimensions:
235 x 155 mm

Related Subjects

Engineering » Mechanical Engineering » General
Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Physics » Classical Mechanics
Science and Mathematics » Physics » Thermodynamics

Discontinuous Dynamical Systems on Time-Varying Domains (Nonlinear Physical Science) New Hardcover
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Product details 290 pages Springer - English 9783642002526 Reviews:
"Synopsis" by , This heavily-illustrated book is the first ever to present discontinuous dynamical systems in time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed.
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