Homoclinic orbits and chaos in a second-harmonic generating optical cavity.
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Publication:1968412
DOI10.1016/S0375-9601(97)00468-4zbMath1044.78507MaRDI QIDQ1968412
Gregor Kovačič, Alejandro B. Aceves, Ilya Timofeyev, Darryl D. Holm
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lasers, masers, optical bistability, nonlinear optics (78A60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- On Shilnikov's homoclinic-saddle-focus theorem
- Global bifurcations and chaos. Analytical methods
- Homoclinic orbits in the dynamics of resonantly driven coupled pendula
- Multi-bump orbits homoclinic to resonance bands
- Singular Perturbation Theory for Homoclinic Orbits in a Class of Near- Integrable Dissipative Systems
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
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