Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems

Murilo R. Cândido; Jaume Llibre

doi:https://doi.org/10.1142/S0218127418300070

Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems

Murilo R. Cândido, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

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 in Applied Sciences and Engineering
Volume	28
Issue number	3
DOIs	https://doi.org/10.1142/S0218127418300070
Publication status	Published - 1 Mar 2018

Keywords

Averaging theory
Lorenz system
Thomas system
circulant system
stability of periodic orbit

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AB - © 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.

KW - Averaging theory

KW - Lorenz system

KW - Thomas system

KW - circulant system

KW - stability of periodic orbit

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M3 - Article

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Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems

Abstract

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