Abstract

STARKOV, Konstantin  and  CUEN, Oswaldo. Semiglobal Chaotification of One Class of n-Dimensional Continuous-Time Systems Via a Time-Delay Feedback. Comp. y Sist. [online]. 2006, vol.9, n.3, pp.243-254. ISSN 2007-9737.

A semiglobal chaotification problem of n-dimensional polynomial continuous-time systems satisfying one special condition is examined. This problem is solved in two steps. Firstly, by using some polynomial mapping we transform the initial system to some n-th order explicit scalar ordinary differential equation with a rational nonlinearity. On the second step we apply the anticontrol feedback proposed by Wang, Chen and Yu. Our results are applied to nonlocal chaotification of three systems: the Lorenz system, the Burke-Shaw system and the Liu system.

Keywords : Polynomial systems; rational nonlinearity; chaos; anticontrol.

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