Description:
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;