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Bifurcation of discontinuous limit cycles of the Van der Pol equation
Date
2014-01-01
Author
Akhmet, Marat
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In this paper, we apply the methods of B-equivalence and psi-substitution to prove the existence of discontinuous limit cycle for the Van der Pol equation with impacts on surfaces. The result is extended through the center manifold theory for coupled oscillators. The main novelty of the result is that the surfaces, where the jumps occur, are not flat. Examples and simulations are provided to demonstrate the theoretical results as well as application opportunities. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.
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URI
https://hdl.handle.net/11511/32762
Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
DOI
https://doi.org/10.1016/j.matcom.2013.05.002
Collections
Department of Mathematics, Article
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M. Akhmet, “Bifurcation of discontinuous limit cycles of the Van der Pol equation,”
MATHEMATICS AND COMPUTERS IN SIMULATION
, pp. 39–54, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32762.