Computation and Parameterisation of Invariant Curves and Tori

DOI10.1137/S0036142994262883zbMath0864.65050MaRDI QIDQ5284626

Gerald Moore

Publication date: 22 June 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

algorithmsinvariant curvesautonomous systemsinvariant tori

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical systems and ergodic theory (37-XX)

Related Items (6)

Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation ⋮ Geometric methods for computing invariant manifolds ⋮ Modelling by a planar map: Lyapunov-type numbers in the presence of spiral points ⋮ A NEWTON METHOD FOR LOCATING INVARIANT TORI OF MAPS ⋮ Estimates in discretizing normally hyperbolic compact invariant manifolds of ordinary differential equations ⋮ Continuation of limit cycles near saddle homoclinic points using splines in phase space

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