Instabilities and Nonequilibrium Structures III: Mathematics and Its Applications, cartea 64

Table of Content.- I. Dynamical Systems and Statistical Mechanics.- Fast Dynamo for Some Anosov Flows.- How Horseshoes Are Created.- Fine Structure of Universal Cantor Sets.- Hamiltonian Chaos in a Laser Damage Model.- Periodic Modulation of a Logistic Oscillator.- Quantum Spin Chains with Residual Entropy.- Quantum Fluctuations and Linear Response Theory.- Non-Commutative Large Deviations and Applications.- Squeezing in the Su(1,1) Group.- Full Scaling and Real-Space Renormalization.- Sand Piles, Combinatorial Games and Cellular Automata.- II. Stochastic Effects on Dynamical Systems.- Nonequilibrium Potentials in Spatially Extended Pattern Forming Systems.- Passage Time Description of Dynamical Processes.- Stochastic Processes Driven by Colored Noise: A Path Integral Point of View.- Effect of Noise on a Hopf Bifurcation.- Some Properties of Quasi Stationary Distributions in the Birth and Death Chains: A Dynamical Approach.- Photon Noise Reduction in Light Sources.- III. Instabilities in Nonequilibrium Systems.- Spatio-Temporal Properties of Centrifugal Instabilities.- Shape of Stationary and Travelling Cells in The Printer’s Instability.- Secondary Instability of Cellular Structures in Directional Solidification.- Velocity Field Structure and Semiquantitative Analysis Of Tracer Dispersion in a Taylor-Vortex Flow of Wide Gap.- Lasers as a Test Bench for Theories of Non-Equilibrium Structures.- Mean Field Theory of Canonical Spinodal Instabilities.- Periodic (Layered) Structures under Constraint.- Transitions Between Patterns of Different Symmetries.- Direct Simulation of Three-Dimensional Turbulence.- Transition Between Different Symmetries in Convection.- Shallow Surface Waves in a Convecting Fluid.- An Exact Model of Resistive Convection in a Cylindrical Plasma.-Energy Method in the Stability of Viscoelastic Fluid.- Solitary Waves, Topological Defects and Their Interactions in Systems with Translational and Galilean Invariance.- Dynamics of Nonlinear SchrÖDinger Defects in Three Dimensions.- Dynamics of Spiral Defects in Two Dimensional Extendedsystems.- Fragmentation.- Qualitative Theory of Defects in Non-Equilibrium Systems.