Dissipation induced Instabilities and the Mechanical Laser

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dc.creatorClerc, Marcel G.
dc.creatorMarsden, Jerrold E.
dc.date2001-03-26
dc.date.accessioned2026-07-07T05:33:23Z
dc.date.available2026-07-07T05:33:23Z
dc.descriptionWe study the 1:1 resonance for perturbed Hamiltonian systems with small dissipative and energy injection terms. These perturbations of the 1:1 resonance exhibit dissipation induced instabilities. This mechanism allow us to show that a slightly pumping optical cavity is unstable when one takes into account the dissipative effects. The Maxwell-Bloch equations are the asymptotic normal form that describe this instability when energy is injected through forcing at zero frequency. We display a simple mechanical system, close to the 1:1 resonance, which is a mechanical analog of the Laser.
dc.description4 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/nlin/0103049
dc.identifierhttp://arxiv.org/abs/nlin/0103049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79978
dc.subjectChaotic Dynamics
dc.titleDissipation induced Instabilities and the Mechanical Laser
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