Numerical chaos, symplectic integrators, and exponentially small splitting distances

DOI10.1006/jcph.1993.1058zbMath0772.65084OpenAlexW2001138119MaRDI QIDQ1208893

S. Singh

Publication date: 16 May 1993

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1993.1058

zbMATH Keywords

nonlinear Schrödinger equationHamiltonian systemshomoclinic orbitfinite differencesymplectic integratorsDuffing's equationexponentially small splitting distancesnonintegrable discretizationnumerical chaos

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Applications to the sciences (65Z05)

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