by P W Milonni (LANL) , M-L Shih (LANL) , & J R Ackerhalt (LANL)

• 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