A unified Lorenz-type system and its canonical form

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Original languageEnglish
Pages (from-to)2855-2871
Journal / PublicationInternational Journal of Bifurcation and Chaos
Issue number10
Publication statusPublished - Oct 2006


Based on the generalized Lorenz system, a conjugate Lorenz-type system is introduced, and a new unified Lorenz-type system containing these two classes of systems is naturally constructed in the paper. Such a unified system is state-equivalent to a simple special form, which is parameterized by two parameters useful for chaos turning and system classification. More importantly, based on the parameterized form, three new chaotic attractors, called conjugate attractors, are found for the first time, which are conjugate to the Lorenz attractor, the Chen attractor, and the Lü attractor, respectively. © World Scientific Publishing Company.

Research Area(s)

  • Canonical form, Chaotic attractor, Conjugate Lorenz-type system, Generalized Lorenz system, Unified Lorenz-type system

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