A computational technique with multiple properties of consistency in the study of modified \(\beta \)-Fermi-Pasta-Ulam chains

DOI10.1016/j.cnsns.2009.07.010zbMath1222.37080OpenAlexW2069902233MaRDI QIDQ720042

Jorge Eduardo Macías-Díaz

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.07.010

zbMATH Keywords

dissipationfinite-difference schemenonlinear supratransmissionconsistency propertiesanharmonic chainscorrection for continuity

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Finite difference and finite volume methods for ordinary differential equations (65L12) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Lattice dynamics; integrable lattice equations (37K60) Ordinary lattice differential equations (34A33)

Related Items

Nonlinear supratransmission in fractional wave systems ⋮ Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi-Pasta-Ulam chains ⋮ Supratransmission in \(\beta\)-Fermi-Pasta-Ulam chains with different ranges of interactions ⋮ Fractional generalization of the Fermi-Pasta-Ulam-Tsingou media and theoretical analysis of an explicit variational scheme ⋮ Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations ⋮ Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines ⋮ A numerical method for solving the nonlinear fermi–pasta–ulam problem

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