Large basins of attraction for control-based continuation of unstable periodic states
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DOI: 10.1007/s11071-024-10119-7
Abstract: Numerical continuation tools are nowadays standard to analyse nonlinear dynamical systems by numerical means. These powerful methods are unfortunately not available in real experiments without having access to an accurate mathematical model. Implementing such a… read more here.
Keywords: basins attraction; continuation; control; periodic states ... See more keywords
Stability band structure for periodic states in periodic potentials
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DOI: 10.1016/j.apnum.2018.05.007
Abstract: A class of periodic solutions of the nonlinear Schrodinger equation with non- Hermitian potentials are considered. The system may be implemented in planar nonlinear optical waveguides carrying an appropriate distribution of local gain and loss,… read more here.
Keywords: states periodic; periodic potentials; periodic states; stability ... See more keywords