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.
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 language | English |
|---|---|
| Pages (from-to) | 147-152 |
| Number of pages | 6 |
| Journal | Cybernetics and Physics |
| Volume | 6 |
| Issue number | 4 |
| Publication status | Published - 2017 |
Keywords
- Kukles cubic system
- Wintner–Perko termination
- field rotation parameter
- bifurcation
- limit cycle oscillations