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On dynamical systems close to Hamiltonian with separatrix loops of a saddle
V. S. Medvedev, E. L. Fedorov Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Abstract:
A system of two ordinary autonomous differential equations with a small parameter $\mu$ is considered on the two-dimensional Euclidean plane $R^2$. A condition for the birth of a limit cycle from a separatrix loop of a saddle of a Hamiltonian system is found for $\mu\ne0$.
Received: 16.04.1993
Citation:
V. S. Medvedev, E. L. Fedorov, “On dynamical systems close to Hamiltonian with separatrix loops of a saddle”, Mat. Sb., 185:9 (1994), 95–108; Russian Acad. Sci. Sb. Math., 83:1 (1995), 79–91
Linking options:
https://www.mathnet.ru/eng/sm926https://doi.org/10.1070/SM1995v083n01ABEH003581 https://www.mathnet.ru/eng/sm/v185/i9/p95
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Abstract page: | 322 | Russian version PDF: | 107 | English version PDF: | 15 | References: | 50 | First page: | 1 |
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