Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers

Anacleto, Maria Elisa; Llibre, Jaume; Valls, Clàudìa; Vidal, Cláudio

doi:10.1007/s40590-023-00501-7

Bol. Soc. Mat. Mex.

2023

DOI: 10.1007/s40590-023-00501-7

|View full text |Cite

Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers

Maria Elisa Anacleto

Jaume Llibre

Clàudìa Valls

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

At Most Five Limit Cycles in a Class of Discontinuous Piecewise Linear Systems with Three Zones

Tababouchet,

Berbache

2024

Int. J. Bifurcation Chaos

View full text Add to dashboard Cite

In this paper, we study the maximum number of limit cycles where planar discontinuous piecewise differential systems can exist formed by three regions separated by a nonregular line. We show that such discontinuous piecewise linear systems can have at most five limit cycles, two of which are of the four intersection points type, the third one is of the two intersection points type and the other two are of three intersection points type. In a setting, we have solved the extended 16th Hilbert problem for these discontinuous piecewise linear differential systems.

show abstract

At Most Five Limit Cycles in a Class of Discontinuous Piecewise Linear Systems with Three Zones

Tababouchet,

Berbache

2024

Int. J. Bifurcation Chaos

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers

Cited by 1 publication

References 15 publications

At Most Five Limit Cycles in a Class of Discontinuous Piecewise Linear Systems with Three Zones

At Most Five Limit Cycles in a Class of Discontinuous Piecewise Linear Systems with Three Zones

Contact Info

Product

Resources

About