Attractors under discretizations with variable stepsize
Copyright policy )Attractors under discretizations with variable stepsize
The authors investigate the attractors and study the upper and lower semi-continuity results for generalized discretizations with variable step size. They also discuss the convergence to the exact attractor in the Hausdorff metric space and the connections to pullback attractors in cocycle dynamics. Examples are given to show limiting behavior depends critically on the step size of the sequence.
Stability problems for finite-dimensional Hamiltonian and Lagrangian systems, attractor, variable step size, Stability of topological dynamical systems, Mesh generation, refinement, and adaptive methods for ordinary differential equations, Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.), discretization, Numerical nonlinear stabilities in dynamical systems
Stability problems for finite-dimensional Hamiltonian and Lagrangian systems, attractor, variable step size, Stability of topological dynamical systems, Mesh generation, refinement, and adaptive methods for ordinary differential equations, Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.), discretization, Numerical nonlinear stabilities in dynamical systems
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