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Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations
Stability analysis pitchfork bifurcations of solitary waves generalized nonlinear Schroedinger equations Optics
2012/4/26
Linear stability of both sign-definite (positive) and sign-indefinite solitary waves near pitchfork bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms o...
Pitchfork bifurcations in blood-cell shaped dipolar Bose-Einstein condensates
Pitchfork bifurcations blood-cell shaped dipolar Bose-Einstein condensates
2010/4/1
We demonstrate that the method of coupled Gaussian wave packets is a full-fledged alternative to direct numerical solutions of the Gross-Pitaevskii equation of condensates with electromagnetically ind...
Our concern is the study of degenerate Hopf bifurcation of smooth planar dynamical systems near isolated singular points. To do so, we propose to split up the definition of degeneracy into two types. ...