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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 2, Pages 356–374
(Mi smj1074)
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This article is cited in 4 scientific papers (total in 4 papers)
On equilibrium bifurcations in the cosymmetry collapse of a dynamical system
L. G. Kurakin, V. I. Yudovich Rostov State University
Abstract:
We study the bifurcations that accompany the collapse of a continuous family of equilibria of a cosymmetric dynamical system (or a family of solutions to a cosymmetric operator equation in general) under some perturbation that destroys cosymmetry. Using the Lyapunov–Schmidt method, we expatiate on the cases in which the branching equation is one- or two-dimensional.
Keywords:
cosymmetry, symmetry, bifurcation, family of equilibria, Lyapunov–Schmidt method.
Received: 15.05.2003
Citation:
L. G. Kurakin, V. I. Yudovich, “On equilibrium bifurcations in the cosymmetry collapse of a dynamical system”, Sibirsk. Mat. Zh., 45:2 (2004), 356–374; Siberian Math. J., 45:2 (2004), 294–310
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https://www.mathnet.ru/eng/smj1074 https://www.mathnet.ru/eng/smj/v45/i2/p356
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Abstract page: | 442 | Full-text PDF : | 167 | References: | 56 |
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