Parameterization of invariant manifolds for periodic orbits. II: A posteriori analysis and computer assisted error bounds
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Publication:1616363
DOI10.1007/s10884-017-9609-zzbMath1419.37020OpenAlexW2749417548MaRDI QIDQ1616363
Jason D. Mireles James, Roberto Castelli, Jean-Philippe Lessard
Publication date: 6 November 2018
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-017-9609-z
periodic orbitsparameterization methodcomputer assisted prooftruncation error analysisstable/unstable manifoldsvalidated error bounds
Periodic orbits of vector fields and flows (37C27) Invariant manifold theory for dynamical systems (37D10) Numerical nonlinear stabilities in dynamical systems (65P40) Approximation methods and numerical treatment of dynamical systems (37M99)
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Uses Software
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