Chaos In Laser-matter InteractionsWorld Scientific Publishing Company, 1. 6. 1987. - 384 страница 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 Readership: Laser scientists and engineers, physicists, applied mathematicians and researchers in nonlinear dynamics. Related Books Free and Guided Optical Beams Laser Cleaning II A Bouquet of Numbers and Other Scientific Offerings Universal Fluctuations Geometric Perturbation Theory in Physics |
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Chaos in Laser-matter Interactions Peter W. Milonni,Mei-Li Shih,Jay R. Ackerhalt Ограничен приказ - 1987 |
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appear approximation associated assumed atom attractor average becomes behavior bifurcation called cavity chaos chaotic chaotic behavior classical close computed consider constant corresponding course defined dependence described determined dimension discussed distribution dynamics effect energy equations ergodic example excitation experimental experiments fact field Figure fixed point follows frequency function gain give Hamiltonian implies increased indicate initial conditions instability instance integrable iterates kicked laser levels limit linear logistic map Lorenz mode molecule motion nonlinear Note observed obtained occur optical origin oscillation parameter particular period doubling perturbation phase space Phys positive possible power spectrum predicted probability pumped quantum quantum mechanically quasiperiodic Reference regions regular resonance route to chaos sensitive separation sequence shown in Figure shows solution stable fixed point surface theory tori trajectories transformation transition values variables write