Energy Flow Theory of Nonlinear Dynamical Systems with Applications

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.