Separatrix Splitting in 3D Volume-Preserving Maps

DOI10.1137/080713173zbMath1172.34031OpenAlexW2075215745MaRDI QIDQ3624494

Héctor E. Lomelí, Rafael Ramírez-Ros

Publication date: 30 April 2009

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080713173

zbMATH Keywords

bifurcationMelnikov methodseparatrix splittingvolume-preserving mapheteroclinic set

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Low-dimensional dynamical systems (37E99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Quadratic volume-preserving maps: (Un)stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations ⋮ Resonance phenomena in a time-dependent, three-dimensional model of an idealized eddy ⋮ Bifurcations in volume-preserving systems ⋮ Explicit invariant manifolds and specialised trajectories in a class of unsteady flows

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