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Nonlinear analysis in a Lorenz-like system. (English) Zbl 1208.34066
The authors investigate dynamical behaviors of a Lorenz-like system. They study the stability and bifurcations which occur in a new three parameter quadratic chaotic system. Also, the existence of singularly degenerate heteroclinic cycles is obtained via choosing some suitable bifurcation parameters. Finally, the disappearance of these cycles triggers the existence of chaotic attractors.

MSC:
 34C60 Qualitative investigation and simulation of ordinary differential equation models 34C28 Complex behavior and chaotic systems of ordinary differential equations 34C23 Bifurcation theory for ordinary differential equations 34C37 Homoclinic and heteroclinic solutions to ordinary differential equations
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References:
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