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‘Lorenz attractor’ from an electrical circuit with uncoupled continuous piecewise‐linear resistor

 

作者: R. Tokunaga,   M. Komuro,   T. Matsumoto,   L. O. Chua,  

 

期刊: International Journal of Circuit Theory and Applications  (WILEY Available online 1989)
卷期: Volume 17, issue 1  

页码: 71-85

 

ISSN:0098-9886

 

年代: 1989

 

DOI:10.1002/cta.4490170108

 

出版商: Wiley Subscription Services, Inc., A Wiley Company

 

数据来源: WILEY

 

摘要:

AbstractWe present a simple piecewise‐linear circuit which exhibits a chaotic attractor similar to that observed from the well‐known Lorenz equation. Whereas the non‐linearities in the Lorenz equation consists of twoproduct termsbetween two state variables, the non‐linearities in our circuit consists of two ‘uncoupled’ 2‐terminal continuous non‐linear resistors, each characterized by a 2‐segmentv‐icharacteristic.Both experiments and computer simulations of this circuit confirm a Lorenz‐like strange attractor. the nature of the trajectories associated with this attractor is analysed and explained with the help of the circuit's piec

 

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