The break-up of a heteroclinic connection in a volume preserving mapping

DOI10.1016/0167-2789(93)90271-2zbMath0783.58067OpenAlexW2046033783MaRDI QIDQ1312488

Leo P. Kadanoff, Vered Rom-Kedar, Emily S. C. Ching, Charles J. Amick

Publication date: 31 January 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90271-2

zbMATH Keywords

heteroclinic connectionvolume preserving maps

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (5)

Singular Separatrix Splitting and the Melnikov Method: An Experimental Study ⋮ Resonance phenomena in a time-dependent, three-dimensional model of an idealized eddy ⋮ Volume-preserving maps with an invariant ⋮ Nilpotent normal form for divergence-free vector fields and volume-preserving maps ⋮ Break-up of invariant surfaces in action-angle-angle maps and flows

Cites Work

• A singular perturbation problem in needle crystals
• Symmetry and chaos
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The separation of motions in systems with rapidly rotating phase
• Global bifurcations and chaos. Analytical methods
• Beyond all orders: Singular perturbations in a mapping
• Splitting of separatrices for standard and semistandard mappings
• Transport in two-dimensional maps
• Passive scalars, three-dimensional volume-preserving maps, and chaos
• On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation
• Chaotic Numerics From an Integrable Hamiltonian System
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Invariant manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The break-up of a heteroclinic connection in a volume preserving mapping