Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems

Tlago De Carvalho; Rodrigo Donizete Euzebio; Jaume Llibre; Durval Jose Tonon

doi:https://doi.org/10.3934/dcdsb.2016.21.1

Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems

Tlago De Carvalho, Rodrigo Donizete Euzebio, Jaume Llibre, Durval Jose Tonon

Department of Mathematics

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

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-11
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	21
Issue number	1
DOIs	https://doi.org/10.3934/dcdsb.2016.21.1
Publication status	Published - 1 Jan 2016

Keywords

Averaging theory
Chaotic systems
Limit cycles
Periodic solutions
Quadratic polynomial differential system

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title = "Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems",

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.",

keywords = "Averaging theory, Chaotic systems, Limit cycles, Periodic solutions, Quadratic polynomial differential system",

author = "{De Carvalho}, Tlago and Euzebio, {Rodrigo Donizete} and Jaume Llibre and Tonon, {Durval Jose}",

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AU - De Carvalho, Tlago

AU - Euzebio, Rodrigo Donizete

AU - Llibre, Jaume

AU - Tonon, Durval Jose

PY - 2016/1/1

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N2 - 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.

AB - 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.

KW - Averaging theory

KW - Chaotic systems

KW - Limit cycles

KW - Periodic solutions

KW - Quadratic polynomial differential system

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DO - https://doi.org/10.3934/dcdsb.2016.21.1

M3 - Article

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JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

SN - 1531-3492

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Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems

Abstract

Keywords

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