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517.925
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ON BIFURCATIONS OF CLOSED ORBITS OF PLANAR HAMILTONIAN SYSTEMS
M.A. Smirnov, P.I. Petrov
Scientific Supervisor P.I. Petrov, Candidate of Physics and Mathematics sciences, Associate Professor
Yaroslavl State Technical University
The paper examines a typical three-parameter deformation of planar Hamiltonian systems in neighborhood of its closed orbit. Either triple cycle or double cycle and rough cycle or three rough cycles are born from this orbit.
Keywords: planar Hamiltonian systems, three-parameter deformations, limit cycles.
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Smirnov Maksim Andreevich
Student
Yaroslavl State Technical University, Russia, Yaroslavl
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Petrov Petr Ivanovich
Candidate of Physics and Mathematics, Associate Professor of Higher Mathematics Department,
Yaroslavl State Technical University, Russia, Yaroslavl
517.925
