The Termination Principle of Multiple Limit Cycles for the Kukles Cubic System

Title

The Termination Principle of Multiple Limit Cycles for the Kukles Cubic System

 Author

Gaiko, V. (National Academy of Sciences of Belarus)
Ginoux, Jean-Marc (Université de Toulon)
Vuik, Cornelis (TU Delft Numerical Analysis) ORCID 0000-0002-5988-9153

 Date

2017

 Abstract

We carry out the global bifurcation analysis of the Kukles system representing a planar polynomial dynamical system with arbitrary linear and cubic right-hand sides and having an anti-saddle at the origin. Using the
Wintner–Perko termination principle of multiple limit cycles, we solve the problem on the maximum number and distribution of limit cycles in this system.
Numerical experiments are done to illustrate the obtained results.

 Subject

Kukles cubic system
Wintner–Perko termination
field rotation parameter
bifurcation
limit cycle oscillations

 To reference this document use:

http://resolver.tudelft.nl/uuid:e7821bcb-7db0-4f64-9c9d-0ce92b1f1a75

 ISSN

2223-7038

 Source

Cybernetics and Physics, 6 (4), 147-152

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2017 V. Gaiko, Jean-Marc Ginoux, Cornelis Vuik
Files
PDF 36044420.pdf 283.55 KB
Close viewer