Title | Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems [electronic resource] / edited by Bernold Fiedler |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-3-642-56589-2 |
Descript | XI, 820 p. online resource |
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 โ 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 Selbergโs 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