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Group analysis methods for construction and investigation of the bifurcation equation. (English) Zbl 0795.58035

The author presents the methods of group analysis of differential equations for the construction of the general form of the bifurcation equation.

MSC:

37G99 Local and nonlocal bifurcation theory for dynamical systems
37C80 Symmetries, equivariant dynamical systems (MSC2010)
20H15 Other geometric groups, including crystallographic groups
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References:

[1] B. V. Loginov: Branching theory of solutions of nonlinear equations in conditions of group invariance. FAN, Tashkent, 1985. · Zbl 0593.58028
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[14] Ph. Delanō: Bifurcation for Monge-Ampere equations on flat tori. Manuscripta mathematica no. 1 (1983), 29-45. · Zbl 0536.58034
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