A fully explicit variational integrator for multidimensional systems of coupled nonlinear fractional hyperbolic equations
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.02.018
Abstract: Abstract In this work, we investigate a multidimensional system consisting of a finite (though arbitrary) number of coupled hyperbolic partial differential equations with fractional diffusion, constant damping and inertial times, and nonlinear reaction terms. Under… read more here.
Keywords: integrator multidimensional; variational integrator; multidimensional systems; explicit variational ... See more keywords
Discrete Vortices in Systems of Coupled Nonlinear Oscillators: Numerical Results for an Electric Model
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DOI: 10.1134/s0021364020070097
Abstract: Vortex coherent structures on arrays of nonlinear oscillators joined by weak links into topologically nontrivial two-dimensional discrete manifolds have been theoretically studied. A circuit of nonlinear electric oscillators coupled by relatively weak capacitances has been… read more here.
Keywords: nonlinear oscillators; discrete vortices; vortices systems; systems coupled ... See more keywords
Three Symmetrical Systems of Coupled Sylvester-like Quaternion Matrix Equations
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DOI: 10.3390/sym14030550
Abstract: The current study investigates the solvability conditions and the general solution of three symmetrical systems of coupled Sylvester-like quaternion matrix equations. Accordingly, the necessary and sufficient conditions for the consistency of these systems are determined,… read more here.
Keywords: sylvester like; symmetrical systems; like quaternion; coupled sylvester ... See more keywords