Computation of invariant tori by orthogonal collocation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)273-289
Journal / PublicationApplied Numerical Mathematics
Volume32
Issue number3
Publication statusPublished - Mar 2000

Abstract

A partial differential equation formulation has been used recently for the problem of computing invariant tori for systems of ordinary differential equations. We present an O(h4) collocation method for solving these resulting nonlinear first order partial differential equations with periodic boundary conditions. A convergence analysis is given, and numerical results for the method are contrasted with those of some previously tested methods. We also introduce an adaptive grid refinement scheme and use it to study the torus breakdown.

Citation Format(s)

Computation of invariant tori by orthogonal collocation. / Edoh, K. D.; Russell, R. D.; Sun, W.
In: Applied Numerical Mathematics, Vol. 32, No. 3, 03.2000, p. 273-289.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review