Homoclinic orbits and chaos in three- and four-dimensional flows

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 359, Issue 1784, 2001, Pages 1429-1438

  Holmes, P ^a   Doelman, A ^a   Hek, G ^a   Domokos, G ^a  

^a Princeton University   (United States)

Author keywords

Boundary value problem; Hamiltonian system; Heteroclinic orbit; Homoclinic orbit; Invariant (stable and unstable) manifolds; Perturbation

Indexed keywords

EID: 20244383864     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2001.0845     Document Type: Conference Paper

References (15)

1. Homoclinic orbits in Hamiltonian systems
2. Breaking the hidden symmetry in the Ginzburg-Landau equation
3. Homoclinic saddle-node bifurcations in singularly perturbed systems
4. Homoclinic explosions and implosions
5. Geometric singular perturbation theory for ordinary differential equations
6. Fronts and pulses in a class of reaction-diffusion equations: A geometric singular perturbation approach
7. Homoclinic saddle-node bifurcations and subshifts in a three dimensional flow
8. Euler buckling in a potential field
9. Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
10. Spatially complex equilibria of buckled rods
11. Sustained resonance for a nonlinear system with slowly varying coefficients
12. Spatially complex localisation in twisted elastic rods constrained to lie in the plane