\(N\)-homoclinic bifurcations for homoclinic orbits changing their twisting
From MaRDI portal
Publication:5961455
DOI10.1007/BF02218844zbMath0884.34056MaRDI QIDQ5961455
Publication date: 22 February 1998
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items
Bifurcation of rough heteroclinic loop with orbit and inclination flips, Codimension-3 bifurcations of a class of homoclinic loop with saddle-point, BIFURCATIONS OF HOMOCLINIC ORBIT CONNECTING TWO NONLEADING EIGENDIRECTIONS, Chaos near a resonant inclination-flip, Death of period-doublings: Locating the homoclinic-doubling cascade, Lyapunov-Schmidt reduction for unfolding heteroclinic networks of equilibria and periodic orbits with tangencies
Cites Work
- Exponential expansion with Šil'nikov's saddle-focus
- Homoclinic bifurcation at resonant eigenvalues
- Branching of double pulse solutions from single pulse solutions in nerve axon equations
- The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
- Bifurcations to \(N\)-homoclinic orbits and \(N\)-periodic orbits in vector fields
- Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions
- The Connection Matrix Theory for Morse Decompositions
- The Continuation Theory for Morse Decompositions and Connection Matrices
- Double Impulse Solutions in Nerve Axon Equations
- Connected Simple Systems and The Conley Index of Isolated Invariant Sets
- Connected Simple Systems, Transition Matrices and Heteroclinic Bifurcations
- The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
- ON A POINCARÉ-BIRKHOFF PROBLEM
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
