Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:C2L-D
Session:
Number:C2L-D3
Analysis of a Controlled Piecewise-Constant Circuit with Time-Delay Feedback
Daichi Manabe, Tadashi Tsubone,
pp.674-677
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
In this study, we consider a piecewiseconstant chaotic circuit with time-delayed feedback. The system exhibits some stabilized Unstable Periodic Orbits which are embedded on chaos attractor of the chaotic system as Delayed Feedback Controlled system. We consider providing the theoretical analysis for the condition of stability of the system and the domain of attraction. In general, it is relatively hard to treat a dynamical system with time-delayed components in theoretical sense. However, a dynamics of our proposed system is governed by piecewise-constant vector field, so it can be analyzed based on the simple geometry of the phase space. The fact makes us approach to rigorous analysis of the system behavior. In this paper, some experimental results are demonstrated in the real circuit.