Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit
From MaRDI portal
Publication:2575612
DOI10.1016/j.jde.2005.03.016zbMath1091.34026OpenAlexW2111660337MaRDI QIDQ2575612
Publication date: 5 December 2005
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2005.03.016
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (27)
The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation ⋮ Determining the global manifold structure of a continuous-time heterodimensional cycle ⋮ A Lin's method approach for detecting all canard orbits arising from a folded node ⋮ Characterizing the Effect of Boundary Conditions on Striped Phases ⋮ Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation ⋮ CODIMENSION 3 HETEROCLINIC BIFURCATIONS WITH ORBIT AND INCLINATION FLIPS IN REVERSIBLE SYSTEMS ⋮ Bifurcations Near the Weak Type Heterodimensional Cycle ⋮ Homoclinic flip bifurcation with a nonhyperbolic equilibrium ⋮ The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit ⋮ Homoclinic flip bifurcations accompanied by transcritical bifurcation ⋮ Nongeneric bifurcations near a nontransversal heterodimensional cycle ⋮ Dynamics Near the Heterodimensional Cycles with Nonhyperbolic Equilibrium ⋮ BIFURCATIONS OF GENERIC HETEROCLINIC LOOP ACCOMPANIED BY TRANSCRITICAL BIFURCATION ⋮ Weak type heterodimensional cycle bifurcation with orbit-flip ⋮ Heterodimensional cycle bifurcation with two orbit flips ⋮ GLOBAL BIFURCATIONS NEAR A DEGENERATE HETERODIMENSIONAL CYCLE ⋮ BIFURCATIONS OF 2-2-1 HETERODIMENSIONAL CYCLES UNDER TRANSVERSALITY CONDITION ⋮ Snakes and isolas in non-reversible conservative systems ⋮ HETERODIMENSIONAL CYCLE BIFURCATION WITH ORBIT-FLIP ⋮ Analysis of the T-point-Hopf bifurcation ⋮ Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3 ⋮ Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip ⋮ Bifurcations of heterodimensional cycles with two saddle points ⋮ Lyapunov-Schmidt reduction for unfolding heteroclinic networks of equilibria and periodic orbits with tangencies ⋮ Nonreversible homoclinic snaking ⋮ DEGENERATE BIFURCATIONS OF HETERODIMENSIONAL CYCLES WITH ORBIT FLIP ⋮ Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Heteroclinic orbits for retarded functional differential equations
- T-points: A codimension two heteroclinic bifurcation
- Geometric theory of semilinear parabolic equations
- Homoclinic period blow-up in reversible and conservative systems
- Dichotomies in stability theory
- A construction of three-dimensional vector fields which have a codimension two heteroclinic loop at Glendinning-Sparrow T-point
- Bifurcations of heteroclinic loops
- The bifurcations of separatrix contours and chaos
- Shilnikov-Hopf bifurcation
- The accumulation of eigenvalues in a stability problem
- Traveling waves of calcium in pancreatic acinar cells: model construction and bifurcation analysis
- Electric field induced propagating structures in a model of spatio-temporal signalling
- Heteroclinic cycles in rings of coupled cells
- Absolute and convective instabilities of waves on unbounded and large bounded domains
- Complex oscillations and waves of calcium in pancreatic acinar cells
- The stability of traveling calcium pulses in a pancreatic acinar cell
- Šil'nikov-Hopf bifurcations
- Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems
- Bursts in oscillatory systems with broken \(D_4\) symmetry
- Numerical bifurcation and stability analysis of solitary pulses in an excitable reaction-diffusion medium
- Using Melnikov's method to solve Silnikov's problems
- Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
- Gluing unstable fronts and backs together can produce stable pulses
- Heterodimensional cycles, partial hyperbolicity and limit dynamics
- Numerical Bifurcation Analysis for Multisection Semiconductor Lasers
- Bifurcation of contracting singular cycles
- Dynamics of evolutionary equations
This page was built for publication: Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit