© 2018 World Scientific Publishing Company. We provide new results in studying a kind of stability of periodic orbits provided by the higher-order averaging theory. Then, we apply these results to determining the k-hyperbolicity of some periodic orbits of the Lorenz and Thomas differential systems.
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|Publication status||Published - 1 Mar 2018|
- Averaging theory
- Lorenz system
- Thomas system
- circulant system
- stability of periodic orbit