Local stable and unstable manifolds and their control in nonautonomous finite-time flows

DOI10.1007/s00332-016-9293-xzbMath1364.37067arXiv1601.00997OpenAlexW2317921931MaRDI QIDQ310786

Sanjeeva Balasuriya

Publication date: 8 September 2016

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00997

zbMATH Keywords

invariant manifoldhyperbolic trajectorynonautonomous flowOseledets space

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05) Forced convection (76R05) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items

Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows ⋮ Generalized Lagrangian coherent structures ⋮ Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre ⋮ Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux ⋮ Hyperbolic neighbourhoods as organizers of finite-time exponential stretching ⋮ Unsteadily manipulating internal flow barriers ⋮ A Numerical Scheme for Computing Stable and Unstable Manifolds in Nonautonomous Flows

Uses Software

• DG-FTLE

Cites Work

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