Continuous dynamical systems
By: Albert C.J. Luo
Series: Mathematical methods and modeling; Mathematical methods and modeling
Publisher: L&H Scientific Pub. and Higher Education Press Limited
Published: 2012
Place of publication: Glen Carbon, IL; Beijing, China
Language: eng
Number of pages: 286
ISBN-13: 9787040348194; 9781621550006
Subjects: Differentiable dynamical systems; Chaotic behavior in systems
Description: Continuous dynamical systems is a unique book on chaos which can be analytically expressed rather than numerically simulated only, and provides a simple and concise view of a theory of stability and bifurcation in continuous dynamical systems for a better understanding of regularity and complexity in dynamical systems. Linear continuous systems with repeated eigenvalues are presented as an introduction. Higher-order singularity, stability and bifurcation in nonlinear continuous dynamical systems are systematically discussed. The analytical routes of periodic flows to chaos are discussed comprehensively. In addition, the book presents the analytical predictions of the global transversality of a flow to separatrix and nonlinear Hamiltonian chaos to determine the physical mechanism of chaos in nonlinear dynamical systems. This book is written as a textbook or reference book for university students, professors and researchers in applied mathematics, physics, mechanics, and control.
Notes: Includes bibliographical references and index.
Table of contents: title: Linear systems and stability; title: Stability switching and bifurcation; title: Analytical periodic flows and chaos; title: Global transversality and chaos; title: Resonance and Hamiltonian chaos.