ON THE MULTIPLE SHOOTING CONTINUATION OF PERIODIC ORBITS BY NEWTON–KRYLOV METHODS-Reference-Cited by-同舟云学术

ON THE MULTIPLE SHOOTING CONTINUATION OF PERIODIC ORBITS BY NEWTON–KRYLOV METHODS

Published:2010-01 Issue:01 Volume:20 Page:43-61
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

SÁNCHEZ JUAN¹,NET MARTA¹

Affiliation:

1. Departament de Física Aplicada, Universitat Politècnica de, Catalunya, Mòdul B4. Campus Nord, 08034 Barcelona, Spain

Abstract

The application of the multiple shooting method to the continuation of periodic orbits in large-scale dissipative systems is analyzed. A preconditioner for the linear systems which appear in the application of Newton's method is presented. It is based on the knowledge of invariant subspaces of the Jacobians at nearby solutions. The possibility of speeding up the process by using parallelism is studied for the thermal convection of a binary mixture of fluids in a rectangular domain, with positive results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127410025399

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