Bifurcation of the branching of a cycle in n-parameter family of dynamic systems with cosymmetry

DOI10.1063/1.166250zbMath0932.37043OpenAlexW2074061614WikidataQ73463567 ScholiaQ73463567MaRDI QIDQ4935785

Victor Yudovich, Leonid G. Kurakin

Publication date: 17 January 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166250

zbMATH Keywords

oscillatory instabilitycosymmetryPoincaré-Andronov-Hopf bifurcationsupercritical self-oscillations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (8)

Cosymmetric families of steady states in Darcy convection and their collision ⋮ Bifurcation of a limit cycle from the equilibrium submanifold in a system with multiple cosymmetries ⋮ Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system ⋮ Branching of 2D tori off an equilibrium of a cosymmetric system (codimension-1 bifurcation) ⋮ The Hopf bifurcation in a family of equilibria of a dynamical system with a multicosymmetry ⋮ On the isolation/nonisolation of a cosymmetric equilibrium and bifurcations in its neighborhood ⋮ Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system ⋮ Bifurcations and selection of equilibria in a simple cosymmetric model of filtrational convection

Cites Work

• Secondary cycle of equilibria in a system with cosymmetry, its creation by bifurcation and impossibility of symmetric treatment of it

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