On inclination-flip homoclinic orbit associated to a saddle-node singularity

DOI10.1007/BF01259357zbMath0895.58043OpenAlexW2082192588MaRDI QIDQ4342899

Carlos A. Morales

Publication date: 27 April 1998

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01259357

zbMATH Keywords

center manifoldsinclination-flip homoclinic orbit

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

Homoclinic flip bifurcation with a nonhyperbolic equilibrium ⋮ Homoclinic flip bifurcations accompanied by transcritical bifurcation ⋮ Dynamics Near the Heterodimensional Cycles with Nonhyperbolic Equilibrium ⋮ Singular heteroclinic cycles ⋮ Degenerated singular cycles of inclination-flip type1

Cites Work

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• Bifurcations and stability of families of diffeomorphisms
• Abundance of strange attractors
• Lorenz attractor through saddle-node bifurcations
• Bifurcations to \(N\)-homoclinic orbits and \(N\)-periodic orbits in vector fields
• Partially hyperbolic fixed points
• Homoclinic Bifurcations with Nonhyperbolic Equilibria
• ON ATTAINABLE TRANSITIONS FROM MORSE-SMALE SYSTEMS TO SYSTEMS WITH MANY PERIODIC MOTIONS
• The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
• Differentiable dynamical systems

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