Degenerated singular cycles of inclination-flip type1

DOI10.1016/S0012-9593(98)80016-5zbMath0903.34024MaRDI QIDQ4396106

Maria Jose Pacifico, Carlos A. Morales

Publication date: 23 August 1998

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1998_4_31_1_1_0

zbMATH Keywords

bifurcationperiodic orbitheteroclinic connectionhyperbolic singularitythree-dimensional vector fieldsdegenerate singular cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

Lyapunov-Schmidt reduction for unfolding heteroclinic networks of equilibria and periodic orbits with tangencies

Cites Work

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• Contracting singular cycles
• The explosion of singular cycles
• Lorenz attractors through Šil'nikov-type bifurcation. Part I
• Unfolding contracting singular cycles
• The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
• On inclination-flip homoclinic orbit associated to a saddle-node singularity
• Invariant manifolds