The Dynamics of a Kind of Liénard System with Sixth Degree and Its Limit Cycle Bifurcations Under Perturbations-Reference-Cited by-同舟云学术

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The Dynamics of a Kind of Liénard System with Sixth Degree and Its Limit Cycle Bifurcations Under Perturbations

Published:2020-01-30 Issue:1 Volume:19 Page:
ISSN:1575-5460
Container-title:Qualitative Theory of Dynamical Systems
language:en
Short-container-title:Qual. Theory Dyn. Syst.

Author:

Han Maoan,Yang Junmin^ORCID

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hebei Province

Science Foundation of Hebei Normal University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

http://link.springer.com/content/pdf/10.1007/s12346-020-00377-2.pdf

Reference27 articles.

1. Liénard, A.: Étude des oscillations entrenues. Revue Génerale de Électricité 23, 946–954 (1928)

2. Hilbert, D.: Mathematical problems. Bull. Am. Math. Soc. 8(10), 437–479 (1902)

3. Blows, T.R., Lloyd, N.G.: The number of small-amplitude limit cycles of Liénard equations. Math. Proc. Cambridge Philos. Soc. 95(2), 359–366 (1984)

4. Christopher, C., Lynch, S.: Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces. Nonlinearity 12(4), 1099–1112 (1999)

5. Llibre, J., Mereu, A., Teixeira, M.: Limit cycles of the generalized polynomial Liénard differential equations. Math. Proc. Camb. Philos. Soc. 148, 363–383 (2010)

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