Chaos in Laser-Matter Interactions
World Scientific Publishing Company, Jun 1, 1987 - Science - 384 pages
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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2-torus action-angle variables amplitude approximation atom attractor background modes broadband Casperson cavity chaotic behavior chaotic regime classical model computed consider correlations corresponding curve defined dependence on initial dimension discrete mapping discussed distribution dynamics eigenvalues equations of motion ergodic hypothesis example experimental field Fourier frequency function Hamilton–Jacobi equation Hamiltonian systems HÚnon-Heiles homogeneously broadened implies initial conditions instability integrable iterates kicked pendulum laser Lett limit cycle linear logistic map Lorenz model Lyapunov exponent Maxwell-Bloch equations molecule nonlinear numerical experiments obtained occur one-dimensional optical bistability oscillation parameter period doubling period doubling route perturbation phase space Phys Poincare power spectrum predicted pumped mode quantum chaos quantum-mechanical quasiperiodic random route to chaos Schr÷dinger equation separatrices sequence shown in Figure shows single-mode SMHBL ſ║ solution spectra stable fixed point steady-state stochastic excitation surface of section theorem theory trajectories transformation transition two-state values variables vector vibrational