LIMIT CYCLES FOR Z(2n)-EQUIVARIANT SYSTEMS WITHOUT INFINITE EQUILIBRIA

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Isabel S Labouriau (Author) FCUP; Murza, AC (Author) Other

Journal

Title: Electronic Journal of Differential Equations

Vol. 2016

ISSN: 1072-6691

Publisher: Texas State University - San Marcos

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 1 Citation

Other information

Authenticus ID: P-00K-GP4

Abstract (EN): We analyze the dynamics of a class of Zen-equivariant differential equations of the form (z) over dot = pz(n-1)(z) over bar (n-2) + sz(n)(z) over bar (n-1) - (z) over bar (2n-1), where z is complex, the time t is real, while p and s are complex parameters. This study is the generalisation to Z(2n) of previous works with Z(4) and Z(6) symmetry. We reduce the problem of finding limit cycles to an Abel equation, and provide criteria for proving in some cases uniqueness and hyperbolicity of the limit cycle that surrounds either 1, 2n + 1 or 4n + 1 equilibria, the origin being always one of these points.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12