Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759364 | Communications in Nonlinear Science and Numerical Simulation | 2010 | 9 Pages |
Abstract
Existence of Shil’nikov type of heteroclinic orbit in Chen circuit with direct time delay feedback is proved using the undetermined coefficient method. As a result, Shil’nikov criterion guarantees that the circuit has Smale horseshoes and the circuit demonstrates chaos in a rigorous analytical sense. The geometric structure of the generated chaos is determined by the heteroclinic orbits. Both the simulation and the experimental results show that chaos is indeed generated in the non-chaotic Chen circuit with the direct time delay feedback.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Hai Peng Ren, Wen Chao Li,