On C^1-equivalence of essentially nonlinear system of differential equations near the asymptotically stable equilibrium point

Authors

  • Yuriy A. Iljin St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;

Abstract

We consider the system of differential equation without linear terms at asymptotically stable equilibrium point. Under assumption of negative definiteness of logarithmic norm of Jacobian matrix we prove C^1 -equivalence this system to all its perturbations of sufficiently high order of vanishing. Refs 7.

Keywords:

smooth equivalence, smooth conjugacy, essentially nonlinear system, logarithmic norm

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Published

2015-02-01

How to Cite

Iljin, Y. A. (2015). On C^1-equivalence of essentially nonlinear system of differential equations near the asymptotically stable equilibrium point. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2(1), 37–47. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11128

Issue

Vol. 2 No. 1 (2015)

Section

Mathematics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.