Similarity of homoclinic tangles in open planar flows

DOI10.1016/S1007-5704(03)00036-4zbMath1029.37055OpenAlexW2070644389MaRDI QIDQ1406793

D. Massart

Publication date: 7 September 2003

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00036-4

zbMATH Keywords

chaotic behaviourHomoclinic tangleOpen planar flowssimultaneous rescaling of the perturbation amplitude

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47)

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Transport in Hamiltonian systems
• Markov tree model of transport in area-preserving maps
• Regular and chaotic dynamics.
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• Universal properties of chaotic transport in the presence of diffusion
• Homoclinic tangles-classification and applications
• Stirring by chaotic advection