Bifurcations of the trajectories at the saddle level in a Hamiltonian system generated by two coupled Schrödinger equations

DOI10.1063/1.165863zbMath1055.37568OpenAlexW2035632902WikidataQ52412107 ScholiaQ52412107MaRDI QIDQ4526254

V. G. Korolev, V. M. Eleonskii, N. E. Kulagin, L. P. Shil'nikov

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1063/1.165863

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Hamilton's equations (70H05) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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