A new hyperchaotic Lorenz-type system : Generation, analysis, and implementation

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Original languageEnglish
Pages (from-to)865-879
Journal / PublicationInternational Journal of Circuit Theory and Applications
Issue number8
Publication statusPublished - Aug 2011


A new four-dimensional continuous-time autonomous hyperchaotic Lorenz-type system is introduced and analyzed. This hyperchaotic system is not only visualized by computer simulation but also verified with bifurcation analysis and realized with an electronic circuit. Moreover, explicit formulae for estimating the ultimate bound and positive invariant set of the system are derived by constructing a family of generalized Lyapunov functions. The findings and results of this paper have good potential in control and synchronization of hyperchaos and their engineering applications. Copyright © 2010 John Wiley & Sons, Ltd.

Research Area(s)

  • chaos, circuit implementation, global attractive set, hyperchaos, ultimate bound