Abstract
© 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.
| Original language | English |
|---|---|
| Article number | 1830007 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 28 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Mar 2018 |
Keywords
- Averaging theory
- Lorenz system
- Thomas system
- circulant system
- stability of periodic orbit
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Cândido, M. R., & Llibre, J. (2018). Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems. International Journal of Bifurcation and Chaos, 28(3), [1830007]. https://doi.org/10.1142/S0218127418300070