Bifurcations of a homoclinic orbit to saddle-center in reversible systems

DOI10.1155/2012/678252zbMath1273.37015OpenAlexW2157138821WikidataQ58695848 ScholiaQ58695848MaRDI QIDQ1925409

Zhiqin Qiao, Yan Cong Xu

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/678252

zbMATH Keywords

bifurcationhomoclinic orbitMelnikov functionreversible systemlocal moving framesaddle-center

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Cites Work

• Bifurcations of rough heteroclinic loop with two saddle points
• Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
• Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center
• Families of multi-round homoclinic and periodic orbits near a saddle-center equilibrium
• Detection of symmetric homoclinic orbits to saddle-centres in reversible systems
• Bifurcation of homoclinic orbits with saddle-center equilibrium
• Bifurcation of Homoclinic Orbits to a Saddle-Center in Reversible Systems
• Problems in homoclinic bifurcation with higher dimensions
• PERIODIC AND HOMOCLINIC ORBITS IN A TWO-PARAMETER UNFOLDING OF A HAMILTONIAN SYSTEM WITH A HOMOCLINIC ORBIT TO A SADDLE-CENTER
• CODIMENSION 3 HETEROCLINIC BIFURCATIONS WITH ORBIT AND INCLINATION FLIPS IN REVERSIBLE SYSTEMS

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