We consider a nonsmooth bifurcation equation depending on a small parameter ε > 0. In Theorem 1 we provide conditions ensuring the existence of branches of solutions, smoothly depending on ε, emanating from a curve of solutions of the bifurcation equation when ε = 0. Several examples will illustrate the different types of bifurcation that occur in the present nonsmooth case. © 2012 Foundation for Scientific Research and Technological Innovation.
Kamenskii, M., Mikhaylenko, B., Nistri, P. (2012). Nonsmooth bifurcation problems in finite dimensional spaces via scaling of variables. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 20(3), 191-205 [10.1007/s12591-011-0102-6].
Nonsmooth bifurcation problems in finite dimensional spaces via scaling of variables
Nistri, Paolo
2012-01-01
Abstract
We consider a nonsmooth bifurcation equation depending on a small parameter ε > 0. In Theorem 1 we provide conditions ensuring the existence of branches of solutions, smoothly depending on ε, emanating from a curve of solutions of the bifurcation equation when ε = 0. Several examples will illustrate the different types of bifurcation that occur in the present nonsmooth case. © 2012 Foundation for Scientific Research and Technological Innovation.
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https://hdl.handle.net/11365/20268
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