Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:B2L-C
Session:
Number:B2L-C-3
Circuit Implementation and Bifurcation Analysis of a Piecewise-Rotational Chaotic System for Solving Optimization Problems
Haru Hikita, Yoshikazu Yamanaka, Tadashi Tsubone,
pp.502-505
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
In this study, we consider a Piecewise-Rotational Chaotic system(PRC) which is a simple nonlinear discrete-time system and exhibits chaos. The system is basis of an optimization method named an Optimizer based on Piecewise-Rotational Chaotic system(OPRC) in our previous researches. The previous study has indicated that the system behavior affects search performance. In this paper, as basis of this consideration, we analyze bifurcation of the system. As result, we provide a bifurcation set of the system. In addition, PRC circuit realization on Field Programmable Analog Array which is a programmable analog IC is proposed. We confirm PRC circuit exhibits chaotic attractors that qualitatively accords with results of simulation. The result suggests the possibility of realizing OPRCs on chip.