ON THE NONEQUIVALENCE OF LORENZ SYSTEM AND CHEN SYSTEM
نویسندگان
چکیده
منابع مشابه
On the Nonequivalence of Lorenz System and Chen System
In this paper, we prove that the Chen system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters.
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چکیده ندارد.
15 صفحه اولBridge the Gap between the Lorenz System and the Chen System
Recently, the study of chaotic dynamics has evolved from the traditional trend of understanding and analyzing chaos to the new intention of controlling and utilizing it [Chen & Dong, 1998; Wang & Chen, 2000; Lü et al., 2002d]. The Lorenz system, found in 1963, produces the best-known canonical chaotic attractor in a simple three-dimensional autonomous system [Lorenz, 1963; Stewart, 2000]. In 19...
متن کاملOn the Dynamics of a System That Bridges the Gap between Lorenz and Chen Systems
A one–parameter family of differential systems that bridges the gap between the Lorenz and the Chen systems was proposed by Lu, Chen, Cheng and Celikovsy. The goal of this paper is to analyze what we can say using analytic tools about the dynamics of this one–parameter family of differential systems. We shall describe its global dynamics at infinity, and for two special values of the parameter ...
متن کاملBifurcation analysis and dynamics of a Lorenz –type dynamical system
./files/site1/files/0Abstract1.pdfIn this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of each bifurcation point analytically and numerically. In particular we derived sufficient conditions for existence of Hopf and Pitchfork bifurcati...
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ژورنال
عنوان ژورنال: International Journal of Bifurcation and Chaos
سال: 2010
ISSN: 0218-1274,1793-6551
DOI: 10.1142/s0218127410025612