Complexity International         © Copyright April 1996     
  Volume 01 Received: 
Accepted: 
01 Apr 1996
01 Apr 1996
 
 
 



 

Traps in Chaotic Systems
 

D. J. Jefferies and M. J. Crawford

Abstract
     Simple traps in one-dimensional piecewise-linear maps are described, and their properties under iteration are illustrated. Experimental electronics are described which iterate these maps in real time. Trapping consists of a sudden change of behaviour when a chaotic transient ceases and regular behaviour ensues. Experimentally, system noise is always important and can eject the system from a trap. The statistics of time to trapping are presented, and traps in higher dimensional systems are described. In the light of such simple experiments on trapping systems, the irregular and sometimes suddenly catastrophic events which occur in complex nonlinear systems which may have high dimensionality become more understandable.



 

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