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

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Focusing on nonlinear phenomena, this book explores chaotic oscillations in the 1-D wave and Klein-Gordon equations. It is structured into three chapters: the first examines self-excitation boundary conditions in the wave equation, the second addresses energy flow imbalances in the Klein-Gordon equation, and the third investigates time-varying coefficients, aiming to demonstrate additional bifurcations and chaotic behaviors. Overall, it serves as an introduction to the complexities of bifurcation and chaos within these mathematical frameworks.