DETECTING PERIODIC ORBITS IN SOME 3D CHAOTIC QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS
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Undergraduate course
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Publisher
Amer Inst Mathematical Sciences-aims
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Article
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Acesso restrito
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Abstract
Using the averaging theory we study the periodic solutions and their linear stability of the 3-dimensional chaotic quadratic polynomial differential systems without equilibria studied in [3]. All these differential systems depend only on one-parameter.
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Keywords
Periodic solutions, averaging theory, quadratic polynomial differential system, chaotic systems, limit cycles
Language
English
Citation
Discrete And Continuous Dynamical Systems-series B. Springfield: Amer Inst Mathematical Sciences-aims, v. 21, n. 1, p. 1-11, 2016.
