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" Foundations of synergetics ii : "
Alexander S Mikhailov
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BL
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| Record Number
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756708
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b576671
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| Main Entry
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Alexander S Mikhailov
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| Title & Author
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Foundations of synergetics ii : : complex patterns.\ Alexander S Mikhailov
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| Publication Statement
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[Place of publication not identified] : Springer, 2012
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| ISBN
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3642972942
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: 9783642972942
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| Contents
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1. Introduction.- 1.1 Chaotic Dynamics.- 1.2 Noise-Induced Complex Patterns.- 1.3 Chaos and Self-Organization.- 2. Unpredictable Dynamics.- 2.1 Hamiltonian Systems.- 2.2 Destruction of Tori.- 2.3 Ergodicity and Mixing.- 3. Strange Attractors.- 3.1 Dissipative Systems and Their Attractors.- 3.2 The Lorenz Model.- 3.3 Lyapunov Exponents.- 3.4 The Autocorrelation Function.- 4. Fractals.- 4.1 Self-Similar Patterns.- 4.2 Dimensions.- 4.3 Fractal Dimensions of Strange Attractors.- 5. Discrete Maps.- 5.1 Fixed Points and Cycles.- 5.2 Chaotic Maps.- 5.3 Feigenbaum Universality.- 6. Routes to Temporal Chaos.- 6.1 Bifurcations.- 6.2 The Ruelle-Takens Scenario.- 6.3 Period Doubling.- 6.4 Intermittency.- 7. Spatio-Temporal Chaos.- 7.1 Embedding Dimensions.- 7.2 Phase Turbulence.- 7.3 Coupled Chaotic Maps.- 8. Random Processes.- 8.1 Probabilistic Automata.- 8.2 Continuous Random Processes.- 8.3 The Fokker-Planck Equation.- 9. Active Systems with Noise.- 9.1 Generalized Brownian Motion.- 9.2 Internal Noise.- 9.3 Optimal Fluctuations.- 10. Population Explosions.- 10.1 Mean Ignition Time of Explosion.- 10.2 Intermittency of Growth.- 10.3 Breeding Centers.- 11. Extinction and Long-Time Relaxation.- 11.1 Random Traps.- 11.2 Irreversible Annihilation.- 11.3 Conserved Quantities and Long-Time Relaxation.- 11.4 Stochastic Segregation and the Sub-Poissonian Distribution.- 12. Catastrophes.- 12.1 Second-Order Phase Transitions.- 12.2 Sweeping Through the Critical Region.- 12.3 The Biased Transition.- 12.4 Population Settling-Down.- 12.5 Survival in the Fluctuating Environment.- References.
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| LC Classification
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Q295.A449 2012
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| Added Entry
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Alexander S Mikhailov
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