Title of article :
Comment on “Heteroclinic orbits in Chen circuit with time delay” [Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 3058–3066]
Author/Authors :
Algaba، نويسنده , , Antonio and Fernلndez-Sلnchez، نويسنده , , Fernando and Merino، نويسنده , , Manuel and Rodrيguez-Luis، نويسنده , , Alejandro J.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2012
Abstract :
The authors claim in the abstract of the referenced paper that 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. Unfortunately, we show in this comment that their demonstration is incorrect.
Keywords :
Undetermined coefficient method , Heteroclinic orbit , Shil’nikov criterion , Chen circuit , Direct time delay feedback
Journal title :
Communications in Nonlinear Science and Numerical Simulation
Journal title :
Communications in Nonlinear Science and Numerical Simulation