Bifurcation, symmetry, and cosymmetry in differential equations unresolved with respect to the derivative with variational branching equations

DOI10.1134/S1064562409040231zbMath1194.34071OpenAlexW1972308999MaRDI QIDQ845155

Irina V. Konopleva, Boris Vladimirovich Loginov

Publication date: 5 February 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562409040231

zbMATH Keywords

symmetryBifurcation

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Nonlinear differential equations in abstract spaces (34G20) Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items (1)

Implicit operator theorems under group symmetry conditions

Cites Work

• Determination of the branching equation by its group symmetry—Andronov—Hopf bifurcation
• Branching equation of Andronov-Hopf bifurcation under group symmetry conditions
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