Chaotic dynamics of homogeneous Yang-Mills fields with three degrees of freedom

DOI10.1134/S0012266122030028WikidataQ115248825 ScholiaQ115248825MaRDI QIDQ2671937

N. A. Magnitskiĭ

Publication date: 7 June 2022

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

limit cyclesbifurcationHamiltonian systemYang-Mills fieldsYang-Mills-Higgs

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Yang-Mills and other gauge theories in quantum field theory (81T13) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical approximation and evaluation of special functions (33F05)

Cites Work

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• On the nature of dynamic chaos in a neighborhood of a separatrix of a conservative system
• New approach to the analysis of Hamiltonian and conservative systems
• Chaotic dynamics of homogeneous Yang-Mills fields with two degrees of freedom
• Investigation of saddle-node and pitchfork bifurcations by Magnitskii's stabilization method

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