Circuit simulation for synchronization of a fractional-order and integer-order chaotic system

D. Chen, C. Wu, Herbert Iu, X. Ma

    Research output: Contribution to journalArticlepeer-review

    72 Citations (Scopus)

    Abstract

    We design a new three-dimensional double-wing fractional-order chaotic system with three quadratic terms, confirmed by numerical simulation and circuit implementation. We then study the synchronization between the new double-wing fractional-order chaotic system and different Lorenz systems with different structures. In the process of the synchronization, the definition of 'the simplest response system' and the practical method of designing the circuit have been originally proposed. The circuit of 'the simplest response system' (even the simplest incommensurate-order response system), holding different structures with the drive system, of any one integral or fractional drive system now can be designed effectively and sufficiently. Our results are supported by numerical simulation and circuit implementation. © 2013 Springer Science+Business Media Dordrecht.
    Original languageEnglish
    Pages (from-to)1671-1686
    JournalNonlinear Dynamics
    Volume73
    Issue number3
    DOIs
    Publication statusPublished - 2013

    Fingerprint

    Dive into the research topics of 'Circuit simulation for synchronization of a fractional-order and integer-order chaotic system'. Together they form a unique fingerprint.

    Cite this