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Limit cycles and chaos in planar hybrid systems

Full text
Author(s):
Llibre, Jaume ; Santana, Paulo
Total Authors: 2
Document type: Journal article
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 140, p. 13-pg., 2024-10-09.
Abstract

In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also provide examples of these hybrid systems exhibiting chaotic dynamics. (AU)

FAPESP's process: 22/14353-1 - Study of polycycles with applications in game theory
Grantee:Paulo Henrique Reis Santana
Support Opportunities: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 21/01799-9 - The study of vector fields with applications at game theory
Grantee:Paulo Henrique Reis Santana
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants