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On a new chaotic system
Authors:Tudor Bînzar  Cristian L?zureanu
Institution:Department of Mathematics, ‘Politehnica’ University of Timi?oara, Pia?a Victoriei nr. 2, 300006, Timi?oara, Romania
Abstract: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.
Keywords:chaotic system  generalized Lorenz‐like system  stability  local central manifold  Hopf bifurcation  Lyapunov exponents
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