Contents:
Dissipative Systems:
Introduction
Nonlinearity
Period Doubling to Chaos
Lyapunov Exponent
Power Spectra
Correlations
Remarks
Feigenbaum Universality
Feigenbaum Universality: Outline of Exact Renormalization Theory
Experimental Observations
Duffing Oscillator
Period Doubling to Chaos in a CO2 Laser Experiment
Bifurcations
Intermittency (Pomeau-Manneville) Route to Chaos
Quasiperiodicity to Chaos: Ruelle-Takens-Newhouse Scenario
Strange Attractors, Dimensions, and Fractals
Measuring Lyapunov Exponents
Measuring Dimensions
Kolmogorov Entropy
Noise
Maxwell-Bloch Equations
Lorentz Model and Single-Mode Laser
Single-Mode Instabilities: Homogeneous Broadening
Mode Splitting
Inhomogeneous Broadening: Chaos Associated with Casperson Instability
Inhomogeneous Broadening: Experiments
Multimode Instabilities
Physical Explanations of Self-Pulsing Instabilities
Transverse Mode Effects
More Laser Instabilities
Optical Bistability
Chaos in Optically Bistability
Hamiltonian Systems:
Classical Hamiltonian Systems
Integrability and Action-Angle Variables
Integrability, Invariant Tori, and Quasiperiodicity
Ergodicity, Mixing, and Chaos
Fermi-Pasta-Ulam Model
KAM Theorem
Overlapping Resonances
Henon-Heiles Model
Characterization of Chaotic Behavior
Is Classical Physics Really Deterministic?
Kicked Pendulum and Standard Mapping
Chaos in a Classical Model of Multiple-Photon Excitation of Molecular Vibrations
Chaos in a Classical Model of a Rotating Molecule in a Laser Field
Stochastic Excitation
Quantum Chaos
Regular and Irregular Spectra
Kicked Two-State System
Chaos in the Jaynes-Cummings Model
Quantum Theory of the Kicked Pendulum
Localization
Classical and Quantum Calculations for a Hydrogen Atom in a Microwave Field
Epilogue