Energy Flow Theory of Nonlinear Dynamical Systems with Applications

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Xing, Jing Tang (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Emergence, Complexity and Computation, 17
Subjects:
Dynamics.
Nonlinear theories.
System theory.
Nonlinear Optics.
Thermodynamics.
Applied Dynamical Systems.
Complex Systems.
Online Access:Texto Completo
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.

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