A construction of three-dimensional vector fields which have a codimension two heteroclinic loop at Glendinning-Sparrow T-point

DOI10.1007/BF00953665zbMath0790.34043MaRDI QIDQ1261808

Hiroshi Kokubu

Publication date: 22 June 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

chaotic dynamicsheteroclinic loopShil'nikov bifurcationfishhook structureGlendinning-Sparrow's \(T\)-pointMelnikov-like perturbation method

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Using Lin's method to solve Bykov's problems ⋮ Analysis of the T-point-Hopf bifurcation in the Lorenz system ⋮ Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit ⋮ The stability of traveling calcium pulses in a pancreatic acinar cell ⋮ Shilnikov saddle-focus homoclinic orbits from numerics: higher dimensions

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