Abstract
The paper concerns a localization of periodic orbits of 19 polynomial Sprott systems containing one or two quadratic monomials. The semispace localization of periodic orbits is obtained in many cases. Conditions of localization of all periodic orbits in some algebraic surfaces are established for the Sprott systems G; J; K and P.
| Original language | English |
|---|---|
| Pages (from-to) | 271-277 |
| Number of pages | 7 |
| Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
| Volume | 6 |
| Issue number | 3 |
| State | Published - 2005 |
Keywords
- Extremum conditions
- Lie derivative
- Periodic orbits
- Polynomial system