Chaotic Numerics.

Chaotic Numerics.

Much of what is known about specific dynamical systems is obtained from numerical experiments. Although the discretization process usually has no significant effect on the results for simple, well-behaved dynamics, acute sensitivity to changes in initial conditions is a hallmark of chaotic behavior....

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Bibliographic Details
Main Author: Kloeden, Peter E.
Other Authors: Palmer, Kenneth J.
Format: eBook
Language:English
Published: Providence : American Mathematical Society, 1994.
Series:Contemporary Mathematics Ser.
Subjects:
Differentiable dynamical systems > Congresses.
Numerical analysis > Congresses.
Chaotic behavior in systems > Congresses.
Chaotic behavior in systems
Differentiable dynamical systems
Numerical analysis
Conference papers and proceedings
Online Access:Click for online access
Table of Contents:
  • Intro; Table of Contents; Preface; Numerical Dynamics; Error Backward; Modified Equations for ODEs; The Dynamics of Some Iterative Implicit Schemes; Shadowing of Lattice Maps; Periodic Shadowing; On Well-Posed Problems for Connecting Orbits in Dynamical Systems; Numerical Computation of a Branch of Invariant Circles starting at a Hopf Bifurcation Point; Numerics of Invariant Manifolds and Attractors; Interval Stochastic Matrices and Simulation of Chaotic Dynamics; Mathematical and Numerical Analysis of a Mean-Field Equation for the Ising Model with Glauber Dynamics.
  • Attractors for Weakly Coupled Map LatticesEffective Chaos in the Nonlinear SchrÃœdinger Equation; Discretisation Effect on a Dynamical System with Discontinuity.

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