DYNAMICS OF NUMERICAL METHODS FOR COSYMMETRIC ORDINARY DIFFERENTIAL EQUATIONS

DOI10.1142/S0218127401003504zbMath1091.65508MaRDI QIDQ5474219

Vyacheslav G. Tsybulin, Bülent Karasözen, Vasiliy N. Govorukhin

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical chaos (65P20) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (3)

On the choice of a method for integrating the equations of motion of a set of fluid particles ⋮ Selection of steady regimes of a one-parameter family in the problem of plane convective flow through a porous medium ⋮ Multistability, scattering and selection of equilibria in the mechanical system with constraint

Cites Work

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• COMPUTATIONAL DYNAMICS OF ORDINARY DIFFERENTIAL EQUATIONS
• Numerical Integrators that Preserve Symmetries and Reversing Symmetries
• Theta Method Dynamics
• Bifurcations and selection of equilibria in a simple cosymmetric model of filtrational convection
• Secondary cycle of equilibria in a system with cosymmetry, its creation by bifurcation and impossibility of symmetric treatment of it

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