For the Rössler prototype-4 system ẋ=-y-z, ẏ=x, ż=αy(1-y)-βz we prove the existence of periodic orbits and study their stability or instability. The main tool for proving these results is the averaging theory. Recently the existence of some of these periodic orbits were detected numerically. © 2012 Elsevier B.V. All rights reserved.
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - 2 Jul 2012|
- Averaging theory
- Periodic orbit
- Rössler system
García, I. A., Llibre, J., & Maza, S. (2012). Periodic orbits and their stability in the Rössler prototype-4 system. Physics Letters, Section A: General, Atomic and Solid State Physics, 376(33), 2234-2237. https://doi.org/10.1016/j.physleta.2012.05.035