Transversal connecting orbits from shadowing

DOI10.1007/s00211-007-0065-2zbMath1120.65131OpenAlexW1976660744MaRDI QIDQ2373393

Brian A. Coomes, Hueseyin Kocak, Kenneth James Palmer

Publication date: 19 July 2007

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/183937/1/04.pdf

zbMATH Keywords

numerical experimentschaotic flowheteroclinic orbitshomoclinic orbitsLorenz modelconnecting orbit shadowingpseudo connecting orbitspseudo periodic orbits

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

Spatially localized solutions of the Hammerstein equation with sigmoid type of nonlinearity, A computable criterion for the existence of connecting orbits in autonomous dynamics, Validated numerics for equilibria of analytic vector fields: Invariant manifolds and connecting orbits, Rigorous numerics for ODEs using Chebyshev series and domain decomposition, Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields, Numerical computation of connecting orbits on a manifold, Validated computations for connecting orbits in polynomial vector fields, Homoclinic trajectories of non-autonomous maps, Rigorous validation of stochastic transition paths

Uses Software

• RODES

Cites Work

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