On the isolation/nonisolation of a cosymmetric equilibrium and bifurcations in its neighborhood

DOI10.1134/S1560354721030047zbMath1475.34032OpenAlexW3168905003MaRDI QIDQ2058477

Aik V. Kurdoglyan, Leonid G. Kurakin

Publication date: 9 December 2021

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354721030047

zbMATH Keywords

bifurcationequilibriumdynamical systemLyapunov-Schmidt methodcosymmetry

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23)

Cites Work

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• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Cosymmetry, degeneration of solutions of operator equations, and origin of a filtration convection
• Critical cases of stability. Converse implicit function theorem for dynamical systems with cosymmetry
• Implicit function theorem for cosymmetric equations
• Bifurcations of a cosymmetric dynamical system with monotone loss of equilibrium stability.
• Morse Theory. (AM-51)
• Bifurcations and selection of equilibria in a simple cosymmetric model of filtrational convection
• Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system
• Secondary cycle of equilibria in a system with cosymmetry, its creation by bifurcation and impossibility of symmetric treatment of it
• Bifurcation of the branching of a cycle in n-parameter family of dynamic systems with cosymmetry
• Semi-Invariant Form of Equilibrium Stability Criteria for Systems with One Cosymmetry
• Branching of 2D tori off an equilibrium of a cosymmetric system (codimension-1 bifurcation)

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