A hyperchaos generated from Lorenz system

Xingyuan Wang and Mingjun Wang

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 14, 3751-3758

Abstract: This paper presents a four-dimension hyperchaotic Lorenz system, obtained by adding a nonlinear controller to Lorenz chaotic system. The hyperchaotic Lorenz system is studied by bifurcation diagram, Lyapunov exponents spectrum and phase diagram. Numerical simulations show that the new system’s behavior can be convergent, divergent, periodic, chaotic and hyperchaotic when the parameter varies.

Keywords: Lorenz system; Hyperchaos; Lyapunov exponents; Bifurcation (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (19)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:14:p:3751-3758

DOI: 10.1016/j.physa.2008.02.020

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