Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:C1L-A
Session:
Number:C1L-A1
Expansion of a Software for Analysing Bifurcation Observed in a Non-autonomous System with Square-wave Pulses
Yusuke Nishiuchi, Shigeki Tsuji, Kunichika Tsumoto,
pp.569-572
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
”BunKi" is a free software program for analyzing bifurcation phenomena observed in nonlinear dynamical systems. By using the software, we can conduct real-time simulation of nonlinear dynamical systems and can evaluate its stabilities of solutions. In addition, this software enables to track numerically bifurcation sets on an arbitrary two parameter plane. The current version of Bunki supports bifurcation analysis for nonautonomous systems with an external continuous inputs, e.g., sinusoidal input. However, the bifurcation analysis in a non-autonomous system with an external discontinuous input such as a square-wave pulse trains cannot be conducted. Accordingly, we added a new function that allows us to analyze bifurcation phenomena observed in a non-autonomous system with square-wave pulse trains. In this report, we demonstrate to analyze bifurcation of periodic solution observed in the non-autonomous system with square-wave pulse trains, and briefly show how to use BunKi.