This paper describes two simple three-dimensional autonomous chaotic flows whose attractor dimensions can be adjusted continuously from 2.0 to 3.0 by a single control parameter. Such a parameter provides a means to explore the route through limit cycles, period-doubling, dissipative chaos, and eventually conservative chaos. With an absolute-value nonlinearity and certain choices of parameters, the systems have a vast and smooth continual transition path from dissipative chaos to conservative chaos. One system is analyzed in detail by means of the largest Lyapunov exponent, Kaplan-Yorke dimension, bifurcations, coexisting attractors and eigenvalues of the Jacobian matrix. An electronic version of the system has been constructed and shown to perform in accordance with expectations.
|Titolo:||A Simple Chaotic Flow with a Continuously Adjustable Attractor Dimension|
|Data di pubblicazione:||2015|
|Citazione:||A Simple Chaotic Flow with a Continuously Adjustable Attractor Dimension / Munmuangsaen B.; Sprott J.C.; Thio W.; Buscarino A.; Fortuna L. - In: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS IN APPLIED SCIENCES AND ENGINEERING. - ISSN 0218-1274. - 25:12(2015), pp. 1530036.1530036-1-1530036.1530036-12.|
|Appare nelle tipologie:||1.1 Articolo in rivista|