Continuous Dynamical Systems
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 eivenvalues are introduced
as an introduction. The analytical routes of periodic flows to chaos are discussed
comprehensively. In addition, the book presented 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.
Albert C.J. Luo is an internationally recognized
professor in nonlinear dynamics and mechanics. He worked at Southern Illinois University
Edwardsville, USA. His principal research interests lie in the fields of Hamiltonian
chaos, nonlinear mechanics, and discontinuous dynamical systems.
- The first monograph to discuss the analytical solutions for periodic flows and chaos.
- A different view of stability and bifurcation theory in continuous dynamical systems.
- Higher-order singularity, stability switching and bifurcations
- A comprehensive discussion on the global transversality of flows to separatrix.
- An analytical prediction of nonlinear Hamiltonian chaos.
- A wide audience in mathematics, physics and engineering.
- The user friendly form of presentation and instructive illustrations