前辅文
1 Resonance and Hamiltonian Chaos
1.1 Stochastic layers
1.2 Resonant separatrix layers
References
2 Hamiltonian Chaos in Pendulum
2.1 Resonance conditions
2.2 Stochastic layers
2.3 Resonant layers
2.4 Numerical simulations
References
3 Parametric Chaos in Pendulum
3.1 Resonance and energy increment
3.2 Parametric stochastic layers
3.3 Parametric resonant layers
References
4 Nonlinear Discrete Systems
4.1 Definitions
4.2 Fixed points and stability
4.3 Stability switching theory
4.4 Bifurcation theory
References
5 Periodic Flows in Continuous Systems
5.1 Discretization-based methods
5.2 Discrete Fourier series
References
6 Periodic Motions to Chaos in Pendulum
6.1 Periodic motions in pendulum
6.2 Bifurcation trees to chaos
6.3 Frequency-amplitude characteristics
6.4 Bifurcation trees varying with excitation amplitude
6.5 Numerical simulations
References
Subject Index
