Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems-Reference-Cited by-同舟云学术

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

Published:2018-03 Issue:03 Volume:28 Page:1830007
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Cândido Murilo R.¹,Llibre Jaume¹

Affiliation:

1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Barcelona 08193, Spain

Abstract

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 [Formula: see text]-hyperbolicity of some periodic orbits of the Lorenz and Thomas differential systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127418300070

Reference13 articles.

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2. New results on averaging theory and applications

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5. Improving the averaging theory for computing periodic solutions of the differential equations

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