عنوان

Foundations of synergetics ii :

شابک

3642972942

شابک

9783642972942

شماره

b576671

عنوان اصلي

Foundations of synergetics ii :

نام عام مواد

[Book]

ساير اطلاعات عنواني

complex patterns.

نام نخستين پديدآور

Alexander S Mikhailov

محل نشرو پخش و غیره

[Place of publication not identified]

نام ناشر، پخش کننده و غيره

Springer

تاریخ نشرو بخش و غیره

2012

متن يادداشت

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.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Alexander S Mikhailov

مستند نام اشخاص تاييد نشده

Alexander S Mikhailov

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y