Energy Flow Theory of Nonlinear Dynamical Systems with Applications

• Main Author: Xing, Jing Tang (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Emergence, Complexity and Computation, 17
• Subjects: Engineering.; System theory.; Thermodynamics.; Statistical physics.; Complexity, Computational.; Complexity.; Complex Systems.; Nonlinear Dynamics.

This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations...

Table of Contents:

• Introduction
• Dynamical Systems and Differential Equations
• Energy Flow of Nonlinear Dynamical Systems
• Energy Flow Theorems
• First Order Approximations and Matrix Spaces
• Energy Flow Characteristics of Local Bifurcations
• Energy Flows of Global Bifurcations
• Energy Flow Characteristics of Chaos
• Hamiltonian System
• Numerical Solutions of Energy Flows.