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A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness

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Author(s):
Carmona, Victoriano ; Fernandez-Sanchez, Fernando ; Novaes, Douglas D.
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF NONLINEAR SCIENCE; v. 33, n. 5, p. 13-pg., 2023-10-01.
Abstract

We close the problem of the existence of crossing period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness. In fact, a characterization for the existence of such objects is provided by means of a few basic operations on the parameters. (AU)

FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 21/10606-0 - On limit cycles in piecewise linear vector fields with algebraic discontinuity variety
Grantee:Douglas Duarte Novaes
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 18/13481-0 - Geometry of control, dynamical and stochastic systems
Grantee:Marco Antônio Teixeira
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 22/09633-5 - Averaging theory for studying invariant tori and periodic behavior in differential equations and inclusions
Grantee:Douglas Duarte Novaes
Support Opportunities: Regular Research Grants