Bi-instability and the global role of unstable resonant orbits in a driven laser
type: Item
instance of: scholarly article
title: Bi-instability and the global role of unstable resonant orbits in a driven laser
zbMATH Open document ID: 0976.34038
DOI: 10.1016/S0167-2789(00)00164-0
author: Thomas W. Carr
author: Lora Billings
author: Ira B. Schwartz
author: Ioanna Triandaf
published in: Physica D
publication date: 2002-01-06T00:00:00Z
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D30
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 1545174
zbMATH Keywords: quadratic nonlinearities
zbMATH Keywords: chaotic behavior
zbMATH Keywords: chaotic saddles
zbMATH Keywords: localized homodinic chaos
zbMATH Keywords: global mixed-mode heteroclinic chaos
zbMATH Keywords: periodic orbits
zbMATH Keywords: subharmonic Melnikov theory
MaRDI profile type: Publication
cites work: Topological analysis of chaotic dynamical systems
cites work: Phase model analysis of two lasers with injected field
cites work: Infinite subharmonic bifurcation in an SEIR epidemic model
cites work: A simple chaotic neuron
cites work: Subharmonic Hysteresis and Period Doubling Bifurcations for a Periodically Driven Laser
cites work: A procedure for finding numerical trajectories on chaotic saddles
cites work: Regular and chaotic dynamics.
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q4692840
cites work: An example of bifurcation to homoclinic orbits
cites work: Multiple scale and singular perturbation methods
cites work: Q3207312
full work available at URL: s0167-2789(00)00164-0
OpenAlex ID: W2109994566
Recommended article: BISTABILITY, BIFURCATION AND CHAOS IN A LASER SYSTEM
Recommended article: Bifurcations ofn-homoclinic orbits in optically injected lasers
Recommended article: Dynamics, bifurcations and chaos in coupled lasers
Recommended article: Q5469854
Recommended article: Instability of resonances under Stark perturbations
Recommended article: Q4311179
Recommended article: Stabilizing periodic orbits in a chaotic semiconductor laser.
Recommended article: Subharmonic Hysteresis and Period Doubling Bifurcations for a Periodically Driven Laser
Recommended article: Non-resonant double Hopf bifurcation of a class-B laser system
description: scientific article; zbMATH DE number 1545174