Quasi-invariant manifolds, stability, and generalized Hopf bifurcation

DOI10.1007/BF01761491zbMath0493.34030MaRDI QIDQ1168481

S. Singh

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

periodic orbitslimit cyclesHopf bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

Combining stability with symmetry properties in bifurcation problems ⋮ BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY ⋮ Perturbed dynamical systems: Displacement and bifurcation functions ⋮ A Maple program for computing a terms of a center manifold, and element of bifurcations for a class of retarded functional differential equations with Hopf singularity ⋮ On the problem of generalized Hopf bifurcation for periodic systems ⋮ A stability problem for holonomic systems

Cites Work

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• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Local theory of nonlinear analytic ordinary differential equations
• Generalized hopf bifurcation and h-asymptotic stability
• Probleme General de la Stabilite du Mouvement. (AM-17)
• Attractivity and Hopf bifurcation

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