Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices

@article{Lukas2006LyapunovSchmidtRA,
  title={Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices},
  author={M. Lukas and D. Pelinovsky and P. Kevrekidis},
  journal={Physica D: Nonlinear Phenomena},
  year={2006},
  volume={237},
  pages={339-350}
}
  • M. Lukas, D. Pelinovsky, P. Kevrekidis
  • Published 2006
  • Physics, Mathematics
  • Physica D: Nonlinear Phenomena
  • Abstract We address the persistence and stability of three-dimensional vortex configurations in the discrete nonlinear Schrodinger equation and develop a symbolic package based on Wolfram’s MATHEMATICA for computations of the Lyapunov–Schmidt reduction method. The Lyapunov–Schmidt reduction method is a theoretical tool which enables us to study continuations and terminations of the discrete vortices for small coupling between lattice nodes as well as the spectral stability of the persistent… CONTINUE READING

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