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arxiv: 1202.0989 · v1 · pith:FTQDZ7D4new · submitted 2012-02-05 · 🧮 math.DS · nlin.CD

Anticontrol Techniques for Systems of Lorenz Type

classification 🧮 math.DS nlin.CD
keywords systemanticontrollorenzbasicbifurcationchaosconditionsconsidered
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The paper investigates some basic dynamical properties of a general system obtained from the Lorenz system using a non-linear feedback controller. We focus on the bifurcation of the equilibrium points and on the existence and the description of homoclinic and heteroclinic orbits. We present necessary conditions for the anticontrol of chaos in the considered system.

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