Nonlinear analysis in a Lorenz-like system |
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| Authors: | Fabio Scalco Dias Luis Fernando Mello Jian-Gang Zhang |
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| Affiliation: | 1. Instituto de Ciências Exatas, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500-903, Itajubá, MG, Brazil;2. School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, PR China |
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| Abstract: | In this paper we study the nonlinear dynamics of a Lorenz-like system. More precisely, we study the stability and bifurcations which occur in a new three parameter quadratic chaotic system. We also study the existence of singularly degenerate heteroclinic cycles for a suitable choice of the parameters. As a consequence we show the existence of chaotic attractors when these cycles disappear. |
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