Bifurcation and asymptotic stability in the large detuning limit of the optical parametric oscillator

DOI10.1088/0951-7715/13/3/310zbMath0973.78026OpenAlexW2159413801MaRDI QIDQ4494886

Keith Promislow, J. Nathan Kutz

Publication date: 9 August 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/3/310

zbMATH Keywords

nonlinear Schrödinger equationdecay estimatesrenormalization group methodsnonlinear asymptotic stabilitynon-perturbative methodlarge pump-detuning limitnon-self-adjoint linear eigenvalue problemoptical parametric oscillator equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Lasers, masers, optical bistability, nonlinear optics (78A60) Asymptotic properties of solutions to ordinary differential equations (34D05)

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