Chaotic Oscillation of the Wave Equation and the Klein-Gordon Equation

The book "Chaotic Oscillation of the Wave Equation and the Klein-Gordon Equation" offers a comprehensive analysis of chaotic oscillations in the 1-D wave equation and the Klein-Gordon equation. Written by Bo Sun, it aims to review the works of Goong Chen and present new insights. The structure of the book includes three chapters, each addressing specific aspects of chaotic dynamics. Chapter 1 discusses the chaotic oscillations of the 1D wave equation, which are triggered by a self-exciting boundary condition. Chapter 2 focuses on the Klein-Gordon equation and examines the chaotic oscillations resulting from an imbalance between distributed and boundary energy flows. Chapter 3 is dedicated to the Klein-Gordon equation with time-varying coefficients and attempts to demonstrate further bifurcations and chaotic behaviors. This academic book is a valuable resource for students and professionals dealing with nonlinear phenomena in mathematical and scientific contexts.