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Genre/Form: | Electronic books |
---|---|
Additional Physical Format: | Printed edition: |
Material Type: | Bibliographic data, Internet resource |
Document Type: | Internet Resource, Computer File |
All Authors / Contributors: |
Bernold Fiedler |
ISBN: | 9783642565892 3642565891 9783642625244 364262524X |
OCLC Number: | 840292245 |
Language Note: | English. |
Description: | 1 online resource (XI, 820 pages) |
Contents: | Random Attractors: Robustness, Numerics and Chaotic Dynamics -- Self-Similar Measures -- Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension -- On Hybrid Methods for Bifurcation and Center Manifolds for General Operators -- Dimension Theory of Smooth Dynamical Systems -- Collision of Control Sets -- The Algorithms Behind GAIO -- Set Oriented Numerical Methods for Dynamical Systems -- Polynomial Skew Products -- Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems -- Simulation and Numerical Analysis of Dendritic Growth -- Bifurcation Phenomena and Dynamo Effect in Electrically Conducting Fluids -- Cascades of Homoclinic Doubling Bifurcations -- Existence, Bifurcation, and Stability of Profiles for Classical and Non-Classical Shock Waves -- Dynamical Systems of Population Dynamics -- Topological and Measurable Dynamics of Lorenz Maps -- Three-Dimensional Steady Capillary-Gravity Waves -- Discretization, Inflation and Perturbation of Attractors -- Aspects on Data Analysis and Visualization for Complicated Dynamical Systems -- Non-Smooth Dynamical Systems: An Overview -- Forced Symmetry Breaking and Relative Periodic Orbits -- On Dynamics and Bifurcations of Nonlinear Evolution Equations Under Numerical Discretization -- Evolution of Microstructure: an Example -- An Extension of the Thermodynamic Formalism Approach to Selberg's Zeta Function for General Modular Groups -- Stability and Diffusive Dynamics on Extended Domains -- Dimension Estimates for Invariant Sets of Dynamical Systems -- On the Inverse Problem of Fractal Compression -- The Orbit Space Method: Theory and Application -- Multi-Pulse Homoclinic Loops in Systems with a Smooth First Integral -- Quantum Chaos and Quantum Ergodicity -- Periodic Orbits and Attractors for Autonomous Reaction-Diffusion Systems -- Unconditionally Stable Explicit Schemes for the Approximation of Conservation Laws -- Color Plates -- Author Index. |
Responsibility: | edited by Bernold Fiedler. |
Abstract:
Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.
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