Chaotic numerics : an International Workshop on the Approximation and Computation of Complicated Dynamical Behavior, Deakin University, Geelong, Australia, July 1216, 1993

Contributor(s): Kloeden Peter E | Palmer Kenneth JMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 172Publication details: Providence, R.I. : American Mathematical Society, 1994Description: 1 online resource (ix, 277 p., 10 p. of plates : ill. (some col.))ISBN: 9780821877630 (online)Subject(s): Chaotic behavior in systems | Differentiable dynamical systems | Numerical analysisOnline resources: Click here to access online
Contents:
Numerical dynamics ; Error backward ; Modified equations for ODEs ; The dynamics of some iterative implicit schemes ; Shadowing of lattice maps ; Periodic shadowing ; On wellposed 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 meanfield equation for the Ising model with Glauber dynamics ; Attractors for weakly coupled map lattices ; Effective chaos in the nonlinear Schrodinger equation ; Discretisation effect on a dynamical system with discontinuity Jack K Hale ; Robert M Corless ; M P Calvo A Murua and J M SanzSerna ; H C Yee and P K Sweby ; ShuiNee Chow and Erik S Van Vleck ; Brian A Coomes Huseyin Kocak and Kenneth J Palmer ; WJ Beyn ; Laurent Debraux ; Jens Lorenz ; P Diamond P Kloeden and A Pokrovskii ; C M Elliott A R Gardiner I Kostin and Bai Nian Lu ; Volker Matthias Gundlach ; M J Ablowitz and C M Schober ; Xinghuo Yu
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Includes bibliographical references and index.

Numerical dynamics ; Error backward ; Modified equations for ODEs ; The dynamics of some iterative implicit schemes ; Shadowing of lattice maps ; Periodic shadowing ; On wellposed 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 meanfield equation for the Ising model with Glauber dynamics ; Attractors for weakly coupled map lattices ; Effective chaos in the nonlinear Schrodinger equation ; Discretisation effect on a dynamical system with discontinuity Jack K Hale ; Robert M Corless ; M P Calvo A Murua and J M SanzSerna ; H C Yee and P K Sweby ; ShuiNee Chow and Erik S Van Vleck ; Brian A Coomes Huseyin Kocak and Kenneth J Palmer ; WJ Beyn ; Laurent Debraux ; Jens Lorenz ; P Diamond P Kloeden and A Pokrovskii ; C M Elliott A R Gardiner I Kostin and Bai Nian Lu ; Volker Matthias Gundlach ; M J Ablowitz and C M Schober ; Xinghuo Yu

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