Critical cases of stability. Converse implicit function theorem for dynamical systems with cosymmetry

DOI10.1007/BF02311253zbMath0953.34043MaRDI QIDQ1280662

Leonid G. Kurakin

Publication date: 5 May 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsconverse implicit function theoremcosymmetry of vector fieldsstability of boundary equilibria

Mathematics Subject Classification ID

Related Items (3)

Semi-Invariant Form of Equilibrium Stability Criteria for Systems with One Cosymmetry ⋮ 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

Cites Work

• Implicit function theorem for cosymmetric equations
• Secondary cycle of equilibria in a system with cosymmetry, its creation by bifurcation and impossibility of symmetric treatment of it
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