BIFURCATIONS OF 2-2-1 HETERODIMENSIONAL CYCLES UNDER TRANSVERSALITY CONDITION
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Publication:4907018
DOI10.1142/S021812741250191XzbMath1258.34081OpenAlexW2085307284MaRDI QIDQ4907018
Weipeng Zhang, Dan Liu, Mao'an Han
Publication date: 1 March 2013
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021812741250191x
Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Cites Work
- Unnamed Item
- Nongeneric bifurcations near heterodimensional cycles with inclination flip in \(\mathbb{R}^4\)
- Bifurcations of heterodimensional cycles with two saddle points
- The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
- Bifurcations of heteroclinic loops
- Bifurcations of rough heteroclinic loops with three saddle points
- Exponential dichotomies and transversal homoclinic points
- Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3
- Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)
- Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit
- Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles
- Bifurcations of fine 3-point-loop in higher dimensional space
- BIFURCATIONS OF HOMOCLINIC ORBIT CONNECTING TWO NONLEADING EIGENDIRECTIONS
- BIFURCATIONS OF GENERIC HETEROCLINIC LOOP ACCOMPANIED BY TRANSCRITICAL BIFURCATION
- An equivariant, inclination-flip, heteroclinic bifurcation
- Persistence of cycles and nonhyperbolic dynamics at heteroclinic bifurcations
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