국내 최대 기계 및 로봇 연구정보

기술보고서

기술보고서 게시판 내용
타이틀	Chaos in a Fractional Order Chua System
저자	Tom T. Hartley, Carl F. Lorenzo, and Helen Killory Qammar
Keyword	Chaos; Dynamics; Nonlinear; Fractional calculus; Fractional order; Systems; Chua; Nonlinear dynamics; Fractional dynamics
URL	http://gltrs.grc.nasa.gov/reports/1996/TP-3543.pdf
보고서번호	NASA TP-3543
발행년도	1996
출처	NASA Glenn Research Center
ABSTRACT	This report studies the effects of fractional dynamics in chaotic systems. In particular, Chuachr(39)s system is modified to include fractional order elements. Varying the total system order incrementally from 2.6 to 3.7 demonstrates that systems of \"order\" less than three can exhibit chaos as well as other nonlinear behavior. This effectively forces a clarification of the definition of order which can no longer be considered only by the total number of differentiations or by the highest power of the Laplace variable.