Analytic methods to find beating transitions of asymmetric Gaussian beams in GNLS equations

DOI10.1063/1.5001484zbMath1390.78023arXiv1708.07706OpenAlexW3105569903WikidataQ47553368 ScholiaQ47553368MaRDI QIDQ4565903

Jeremy Schiff, David Ianetz

Publication date: 13 June 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07706

Mathematics Subject Classification ID

Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60)

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Cites Work

• Unnamed Item
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• Bifurcation of nonlinear normal modes in a class of two degree of freedom systems
• Parametric and autoparametric resonance
• Chaos near resonance
• Multiple scale and singular perturbation methods
• An energy-momentum map for the time-reversal symmetric 1:1 resonance with \(\mathbb Z_2{\times}\mathbb Z_2\) symmetry
• Bifurcation Sequences in the Symmetric 1:1 Hamiltonian Resonance
• Stability of nonlinear normal modes of symmetric Hamiltonian systems
• Existence of nonlinear normal modes of symmetric Hamiltonian systems
• Discrete symmetric dynamical systems at the main resonances with application to axi-symmetric galaxies
• The elastic pendulum: A nonlinear paradigm
• Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. I. High energy pulsations and routes to energy localization
• Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. II. Low energy excitations and unidirectional energy transport
• Averaging methods in nonlinear dynamical systems