Ebook: Instabilities and Nonequilibrium Structures II: Dynamical Systems and Instabilities

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Content:
Front Matter....Pages i-1
Front Matter....Pages 3-3
Ergodic Theory and Sobolev Spaces....Pages 5-25
Absolutely Continuous Invariant Measure for Expanding Pick Maps of the Interval Except at a Marginal Fixed Point....Pages 27-36
Transport of Passive scalars: Kam Surfaces and Diffusion in Three-Dimensional Liouvillian Maps....Pages 37-51
Periodic Orbits of Maps on the Disk With Zero Entropy....Pages 53-65
Periodically and Randomly Modulated Non Linear Processes....Pages 67-74
The Gap Road to Chaos and Its Main Characteristics....Pages 75-88
Potts Model and Automata Networks....Pages 89-96
Cellular-Automata Fluids....Pages 97-116
Cylinder Distribution of Thermodynamic Limit on Bethe Lattices....Pages 117-130
Rigorous Results About Detailed Balance and Critical Slowing Down....Pages 131-143
Quantum Chaos....Pages 145-162
Reduction of Quantum Noise in Atomic Systems....Pages 163-167
Front Matter....Pages 169-169
Direct Simulation of Two-Dimensional Turbulence....Pages 171-179
Transition to Turbulence in Open Flows....Pages 181-187
The Role of Topological Defects in Subcritical Bifurcations....Pages 189-205
Vortex Variations....Pages 207-220
Oscillatory Instabilities in Benard-Marangoni Convection in a Fluid Bounded above by a Free Surface....Pages 221-225
Parametric Instabilities....Pages 227-237
Spatio-Temporal Radiation Pattern of a High Energy Electron....Pages 239-253
Stability of Taylor-Couette Flow with Radial Heating....Pages 255-268
Front Matter....Pages 169-169
Flow Field Effects on Dynamical Instabilities....Pages 269-283
Instabilities in Non-Autonomous Systems....Pages 285-295
Polynomial Approximations for Nonequilibrium Potentials Near Instabilities....Pages 297-306
Back Matter....Pages 307-316

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Content:
Front Matter....Pages i-1
Front Matter....Pages 3-3
Ergodic Theory and Sobolev Spaces....Pages 5-25
Absolutely Continuous Invariant Measure for Expanding Pick Maps of the Interval Except at a Marginal Fixed Point....Pages 27-36
Transport of Passive scalars: Kam Surfaces and Diffusion in Three-Dimensional Liouvillian Maps....Pages 37-51
Periodic Orbits of Maps on the Disk With Zero Entropy....Pages 53-65
Periodically and Randomly Modulated Non Linear Processes....Pages 67-74
The Gap Road to Chaos and Its Main Characteristics....Pages 75-88
Potts Model and Automata Networks....Pages 89-96
Cellular-Automata Fluids....Pages 97-116
Cylinder Distribution of Thermodynamic Limit on Bethe Lattices....Pages 117-130
Rigorous Results About Detailed Balance and Critical Slowing Down....Pages 131-143
Quantum Chaos....Pages 145-162
Reduction of Quantum Noise in Atomic Systems....Pages 163-167
Front Matter....Pages 169-169
Direct Simulation of Two-Dimensional Turbulence....Pages 171-179
Transition to Turbulence in Open Flows....Pages 181-187
The Role of Topological Defects in Subcritical Bifurcations....Pages 189-205
Vortex Variations....Pages 207-220
Oscillatory Instabilities in Benard-Marangoni Convection in a Fluid Bounded above by a Free Surface....Pages 221-225
Parametric Instabilities....Pages 227-237
Spatio-Temporal Radiation Pattern of a High Energy Electron....Pages 239-253
Stability of Taylor-Couette Flow with Radial Heating....Pages 255-268
Front Matter....Pages 169-169
Flow Field Effects on Dynamical Instabilities....Pages 269-283
Instabilities in Non-Autonomous Systems....Pages 285-295
Polynomial Approximations for Nonequilibrium Potentials Near Instabilities....Pages 297-306
Back Matter....Pages 307-316
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