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BRIDGE BETWEEN THE HYPERCHAOTIC LORENZ SYSTEM AND THE HYPERCHAOTIC CHEN SYSTEM

CHAO MA

School of Electronic and Information Engineering, Dalian University of Technology, Dalian, 116024, China

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and

XINGYUAN WANG

School of Electronic and Information Engineering, Dalian University of Technology, Dalian, 116024, China

Corresponding author.

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https://doi.org/10.1142/S0217979211057967Cited by:3 (Source: Crossref)

Abstract

This paper presents a novel unified hyperchaotic system that contains the hyperchaotic Lorenz system and the hyperchaotic Chen system as two dual systems at the two extremes of its parameter spectrum. The new system is hyperchaotic over almost the whole range of the system parameter and continuously transfers from the hyperchaotic Lorenz system to the hyperchaotic Chen system. The new findings are not only demonstrated by computer simulations but also verified with bifurcation analysis, Lyapunov exponents and Lyapunov dimension.

Keywords:

PACS: 05.45.-a, 05.45.pq

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