Nonconnected heterodimensional cycles: bifurcation and stability
From MaRDI portal
Publication:4016006
DOI10.1088/0951-7715/5/6/006zbMath0780.58033OpenAlexW2080089157WikidataQ125307706 ScholiaQ125307706MaRDI QIDQ4016006
Publication date: 17 December 1992
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/5/6/006
homoclinic tangency\(\Omega\)-stabilityhyperbolic periodic pointone-parameter family of diffeomorphisms
Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (11)
Persistent homoclinic tangencies and the unfolding of cycles ⋮ Robust nonhyperbolic dynamics and heterodimensional cycles ⋮ Non-trivial wandering domains for heterodimensional cycles ⋮ Homoclinic bifurcations that give rise to heterodimensional cycles near a saddle-focus equilibrium ⋮ Non-critical saddle-node cycles and robust non-hyperbolic dynamics ⋮ Weak type heterodimensional cycle bifurcation with orbit-flip ⋮ HETERODIMENSIONAL CYCLE BIFURCATION WITH ORBIT-FLIP ⋮ Existence of heterodimensional cycles near shilnikov loops in systems with a \(\mathbb{Z}_2\) symmetry ⋮ Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3 ⋮ Singular cycles of vector fields on regular parts of the boundary of Morse-Smale systems ⋮ Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors
This page was built for publication: Nonconnected heterodimensional cycles: bifurcation and stability
