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Gluing bifurcations in Chua oscillator

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Title Gluing bifurcations in Chua oscillator
 
Creator Roy, PK
Dana, SK
 
Subject Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
 
Description Gluing bifurcation in a modified Chua's oscillator is reported. Keeping other parameters fixed when a control parameter is varied in the modified oscillator model, two symmetric homoclinic orbits to saddle focus at origin, whiich are mirror images of each other, are glued together for a particular value of the control parameter. In experiments, two asymmetric limit cycles are homoclinic to the saddle foctis origin for different values of the control parameter. However, imperfect gluing bifurcation has been observed. in experiments. when one stable and unstable limit cycles merge to the saddle foctis origin via saddle-node bifurcation.
 
Publisher WORLD SCIENTIFIC PUBL CO PTE LTDSINGAPORE5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
 
Date 2011-09-20T12:12:01Z
2011-09-20T12:12:01Z
2006
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
0218-1274
http://hdl.handle.net/123456789/14089
 
Language English