Burke-Shaw attractor

Written by Paul Bourke
October 2010

This attractor is related to the Lorenz attractor and credited to Bill Burke and Robert Shaw.

Where typically s = 10 and v = 4.272

The attractor is invariant under a 180 degree rotation about the z axis.
xy plane

xz plane

yz plane


  • R. Shaw, Strange attractor, chaotic behavior and information flow, Zeitschrift für Naturforsch A, 36, 80-112, Sect. A J. Phys. Sci. (1981).

  • Emiroğlu, S., Uyaroğlu, Y.: Synchronization of Chaotic Burke-Shaw Attractor Via Active Control. Engineering Sciences. 6, 325–331 (2011).

  • Ali DURDU, Yılmaz UYAROĞLU, Comparison of Times of Synchronization of Chaotic Burke-Shaw Attractor with Active Control and Integer and Optimum Fractional-order Pecaro Carroll Method.

  • Gamal M. Mahmouda, Ayman A. Arafa, Tarek M. Abed-Elhameed, Emad E. Mahmoud. Chaos control of integer and fractional orders of chaotic Burke–Shaw system using time delayed feedback control. Chaos, Solitons and Fractals Nonlinear Science, and Nonequilibrium and Complex Phenomena. June 2017.