Open AccessStudy of new chaotic flows on a family of 3-dimensional systems with quadratic nonlinearities
Author(s) -
S. Carrillo Moreno,
K. Casas-García,
J.J. Flores-Godoy,
F. Valencia,
Guillermo FernándezAnaya
Publication year - 2015
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/582/1/012016
Subject(s) - chaotic , quadratic equation , property (philosophy) , simple (philosophy) , mathematics , feature (linguistics) , chaotic systems , point (geometry) , statistical physics , equilibrium point , pure mathematics , computer science , mathematical analysis , physics , geometry , artificial intelligence , differential equation , philosophy , linguistics , epistemology
Based on a wider systematic search on a family of 3-dimensional systems with quadratic nonlinearities, three new simple chaotic systems were found. One of them has the unusual feature of having a stable equilibrium point, and it is the simplest one of other chaotic flows with this property. The others have some interesting special properties.