Constant unfoldings of saddle connections in planar flows

DOI10.1016/0022-0396(86)90124-5zbMath0603.58032OpenAlexW1975688566MaRDI QIDQ1082680

Richard C. Swanson, Russell B. Walker

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90124-5

zbMATH Keywords

flowsseparatricesconstant perturbationssaddle-connecting orbit

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• An example of bifurcation to homoclinic orbits
• Quadratic gradients on the plane are generically Morse-Smale
• Exponential dichotomies and transversal homoclinic points
• Melnikov's method and averaging
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