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Fluctuations and Sensitivity in Nonequilibrium Systems

Editat de W. Horsthemke, D. K. Kondepudi
en Limba Engleză Paperback – 29 feb 2012

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Specificații

ISBN-13: 9783642465109
ISBN-10: 3642465102
Pagini: 288
Ilustrații: X, 276 p.
Dimensiuni: 170 x 244 x 16 mm
Greutate: 0.5 kg
Ediția:Softcover reprint of the original 1st ed. 1984
Editura: Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

I Basic Theory.- Irreversibility and Space-Time Structure.- Stochastic Systems: Qualitative Theory and Lyapunov Exponents.- First Passage Times for Processes Governed by Master Equations.- II Pattern Formation and Selection.- Three Caveats for Linear Stability Theory: Rayleigh-Bénard Convection.- Pattern Selection and Phase Fluctuations in Chemical Systems.- Experiments on Patterns and Noise in Hydrodynamic Systems.- III Bistable Systems.- Optical Bistability: Steady-State and Transient Behavior.- Experimental Studies of the Transitions Between Stationary States in a Bistable Chemical System.- Noise-Induced Transitions in Multi-Stable Systems.- Bistable Flows Driven by Colored Noise.- IV Response to Stochastic and Periodic Forcing.- Noise-Induced Transitions.- Dynamical Aspects of External Nonwhite Noise.- Dynamic Systems with Fast Parametric Oscillations.- Experimental Studies of Noise-Induced Transitions.- Sensitivity of a Hopf Bifurcation to External Multiplicative Noise.- V Noise and Deterministic Chaos.- Noise and Chaos in Selected Quantum Optical Systems.- Distinguishing Low-Dimensional Chaos from Random Noise in a Hydrodynamic Experiment.- Sensitive Dependence to Parameters, Fat Fractals, and Universal Strange Attractors.- Noise-Induced Transitions in Discrete-Time Systems.- Scaling for External Excitations of a Period-Doubling System.- VI Sensitivity in Nonequilibrium Systems.- General Sensitivity Analysis of Differential Equation Systems.- Nonequilibrium Sensitivity.- Patterns of Nonequilibrium Sensitivity in Biological Systems.- Chemical Reaction Network Sensitivity Analysis.- VII Contributed Papers and Posters.- Chaos in the Conservative Duffing System — Renormalization Group Prediction.- Solvable Double-Well Potential Models.- NonlinearFluctuation-Dissipation Relations.- Numerical Studies of Fluctuations and Hysteresis in the Homogeneous Schögl Model.- Could Weak Neutral Currents Have Determined Biological Chirality?.- Nonequilibrium Chemical Instabilities in Continuous Flow Stirred Tank Reactors: The Effect of Stirring.- The Effect of Random and Periodic Fluctuations on Nonlinear Systems.- The Period-Doubling Power Spectrum of Conservative Systems.- A New Computable Criterion for the Non-Existence of Invariant Circles.- Periodic and Nonperiodic Dynamical Behavior Near Homoclinic Systems.- Precursors of Period Doubling Instabilities.- Flow Patterns in a Circular Couette System.- Index of Contributors.