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2
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Irreversibility and Space-Time Structure
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11
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Stochastic Systems: Qualitative Theory and Lyapunov Exponents
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19
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First Passage Times for Processes Governed by Master Equations
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38
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Three Caveats for Linear Stability Theory: Rayleigh-Bénard Convection
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50
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Pattern Selection and Phase Fluctuations in Chemical Systems
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58
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Experiments on Patterns and Noise in Hydrodynamic Systems
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62
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Optical Bistability: Steady-State and Transient Behavior
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70
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Experimental Studies of the Transitions Between Stationary States in a Bistable Chemical System
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79
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Noise-Induced Transitions in Multi-Stable Systems
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95
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Bistable Flows Driven by Colored Noise
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106
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Noise-Induced Transitions
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114
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Dynamical Aspects of External Nonwhite Noise
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124
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Dynamic Systems with Fast Parametric Oscillations
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134
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Experimental Studies of Noise-Induced Transitions
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143
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Sensitivity of a Hopf Bifurcation to External Multiplicative Noise
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152
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Noise and Chaos in Selected Quantum Optical Systems
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166
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Distinguishing Low-Dimensional Chaos from Random Noise in a Hydrodynamic Experiment
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172
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Sensitive Dependence to Parameters, Fat Fractals, and Universal Strange Attractors
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179
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Noise-Induced Transitions in Discrete-Time Systems
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187
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Scaling for External Excitations of a Period-Doubling System
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196
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General Sensitivity Analysis of Differential Equation Systems
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204
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Nonequilibrium Sensitivity
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214
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Patterns of Nonequilibrium Sensitivity in Biological Systems
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223
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Chemical Reaction Network Sensitivity Analysis
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228
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Chaos in the Conservative Duffing System — Renormalization Group Prediction
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230
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Solvable Double-Well Potential Models
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233
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Nonlinear Fluctuation-Dissipation Relations
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242
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Numerical Studies of Fluctuations and Hysteresis in the Homogeneous Schlögl Model
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245
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Could Weak Neutral Currents Have Determined Biological Chirality?
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249
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Nonequilibrium Chemical Instabilities in Continuous Flow Stirred Tank Reactors: The Effect of Stirring
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253
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The Effect of Random and Periodic Fluctuations on Nonlinear Systems
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257
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The Period-Doubling Power Spectrum of Conservative Systems
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260
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A New Computable Criterion for the Non-Existence of Invariant Circles
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265
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Periodic and Nonperiodic Dynamical Behavior Near Homoclinic Systems
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268
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Precursors of Period Doubling Instabilities
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271
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Flow Patterns in a Circular Couette System