Discrete Dynamics in Nature and Society 
Volume 3 (1999), Issue 1, Pages 9-13
doi:10.1155/S1026022699000023

Blowout bifurcation of chaotic saddles

Tomasz Kapitaniak,1,2 Ying-Cheng Lai,1,3 and Celso Grebogi1,4

 1lnstitute for Plasma Research, University of Maryland, College Park 20742, MD, USA
2Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, Lodz 90-924, Poland
3Departments of Physics and Astronomy and of Mathematics, University of Kansas, Lawrence 66045, KS, USA
4Department of Mathematics, Institute for Physical Science and Technology, University of Maryland, College Park 20742, MD, USA
Received 4 February 1999

Abstract

Chaotic saddles are nonattracting dynamical invariant sets that can lead to a variety of physical phenomena. We describe the blowout bifurcation of chaotic saddles located in the symmetric invariant manifold of coupled systems and discuss dynamical phenomena associated with this bifurcation.