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On a new chaotic system
Author(s) -
Bînzar Tudor,
Lăzureanu Cristian
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3174
Subject(s) - mathematics , chaotic , lorenz system , hopf bifurcation , nonlinear system , bifurcation , stability (learning theory) , biological applications of bifurcation theory , bifurcation diagram , control theory (sociology) , mathematical analysis , attractor , computer science , artificial intelligence , physics , control (management) , quantum mechanics , machine learning
In this paper, a novel 3D nonlinear system with chaotic behavior is considered. Our proposed system is a generalized Lorenz‐like system, with no reflections about coordinates axes. Although the considered system depends on seven real parameters, its stability is completely analyzed. Also, the presence of Hopf bifurcation is pointed out. Copyright © 2014 John Wiley & Sons, Ltd.