Chaos in Laser-Matter Interactions

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World Scientific Publishing Company, Jun 1, 1987 - Science - 384 pages
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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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Contents

PART I DISSIPATIVE SYSTEMS
1
PART II HAMILTONIAN SYSTEMS
197
REFERENCES
358
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About the author (1987)

P W Milonni (LANL);M-L Shih (LANL);J R Ackerhalt (LANL)

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