Coexistence of the chaos and the periodic solutions in planar fluid flows

DOI10.1007/BF02456051zbMath0748.76032OpenAlexW2075131182MaRDI QIDQ1192696

Ruihai Guo, Xiao-Feng Yuan

Publication date: 27 September 1992

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02456051

zbMATH Keywords

bifurcationshomoclinic orbitheteroclinic cycleMelnikov methodKelvin-Stuart cat's eye flow

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Global generic dynamics close to symmetry

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Heteroclinic Orbits and Chaotic Dynamics in Planar Fluid Flows
• Fourier Expansions of Rational Fractions of Elliptic Integrals and Jacobian Elliptic Functions

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