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

Valery Gaiko, Jean-Marc Ginoux, Kees Vuik

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
11 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)147-152
Number of pages6
JournalCybernetics and Physics
Volume6
Issue number4
Publication statusPublished - 2017

Keywords

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

Fingerprint Dive into the research topics of 'The Termination Principle of Multiple Limit Cycles for the Kukles Cubic System'. Together they form a unique fingerprint.

Cite this