HOMOCLINIC BIFURCATIONS IN A PLANAR DYNAMICAL SYSTEM

DOI10.1142/S0218127401002675zbMath1090.37548OpenAlexW2039299540MaRDI QIDQ5474191

Yongkui Zou, Fotios Giannakopoulos, Tassilo Kuepper

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: http://www.worldscinet.com/ijbc/11/1104/S0218127401002675.html

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (2)

Numerical computation of connecting orbits in planar piecewise smooth dynamical system ⋮ Singular homoclinic bifurcations in a planar fast-slow system

Cites Work

• Discretizations of dynamical systems with a saddle-node homoclinic orbit
• The Numerical Computation of Connecting Orbits in Dynamical Systems
• The Saddle-Node Separatrix-Loop Bifurcation
• The Numerical Computation of Homoclinic Orbits for Maps

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