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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Non-existence, existence, and uniqueness of limit cycles for a generalization of the Van der Pol-Duffing and the Rayleigh-Duffing oscillators

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Author(s):
Candido, Murilo R. [1] ; Llibre, Jaume [2] ; Valls, Claudia [3]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, Dept Matemat, Rua Sergio Baruque de Holanda 651, BR-13083859 Campinas, SP - Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain
[3] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon - Portugal
Total Affiliations: 3
Document type: Journal article
Source: PHYSICA D-NONLINEAR PHENOMENA; v. 407, JUN 2020.
Web of Science Citations: 0
Abstract

We study the limit cycles of some cubic family of differential equations, containing the well-known Van der Pol-Duffing and Rayleigh-Duffing oscillators. In particular, we characterize for the class of differential systems here studied the non-existence, existence and uniqueness of limit cycles. Moreover we provide their global phase portraits in the Poincare disk. (C) 2020 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 19/05657-4 - Bifurcations of nested invariant tori and invariant sets of Lotka-Volterra differential systems
Grantee:Murilo Rodolfo Cândido
Support type: Scholarships abroad - Research Internship - Post-doctor