Computation of invariant tori by Newton–Krylov methods in large-scale dissipative systems

A method to compute invariant tori in high-dimensional systems, obtained as discretizations of PDEs, by continuation and Newton–Krylov methods is described. Invariant tori are found as fixed points of a generalized Poincaré map so that the dimension of the system of equations to be solved is that of...

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Veröffentlicht in:	Physica. D 2010-02, Vol.239 (3), p.123-133
Hauptverfasser:	Sánchez, J., Net, M., Simó, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Continuation methods Exact sciences and technology Generalized Poincaré map Invariant tori Newton–Krylov methods Physics Resonances Variational equations
Online-Zugang:	Volltext
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