Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows

DOI10.1007/S10884-011-9211-8zbMath1247.37027OpenAlexW1970702486MaRDI QIDQ650170

Stefan Siegmund, Luu Hoang Duc

Publication date: 25 November 2011

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-011-9211-8

zbMATH Keywords

shadowingHamilton systemdynamic partitionEPH partitionfinite time dynamicsOkubo-Weiss criterionsymmetric vortex merger

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Dynamical systems approach to turbulence (76F20) Dynamical systems with hyperbolic orbits and sets (37D05) Differential inequalities involving functions of a single real variable (34A40) Topological dynamics of nonautonomous systems (37B55)

Related Items (6)

Finite-time attractivity for semilinear functional differential inclusions ⋮ Local stable and unstable manifolds and their control in nonautonomous finite-time flows ⋮ A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents ⋮ Transient spectral theory, stable and unstable cones and Gershgorins theorem for finite-time differential equations ⋮ Finite-time attractivity for semilinear fractional differential equations ⋮ Explicit invariant manifolds and specialised trajectories in a class of unsteady flows

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