Intricate routes to chaos in the Mackey-Glass delayed feedback system

Gallas JA, Gallas J, Junges L (2012)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Physics Letters A Elsevier

Publisher: Elsevier

Book Volume: 376

Pages Range: 2109--2116

Journal Issue: 30-31

DOI: 10.1016/j.physleta.2012.05.022

Abstract

We describe some remarkable continuous deformations which create and destroy peaks in periodic oscillations of the Mackey–Glass equation, a paradigmatic example of a delayed feedback system. Peak creation and destruction results in richer bifurcation diagrams which, in addition to the familiar branches arising from period-doubling and peak-adding bifurcations, may also display arbitrary combinations of doubling and adding, leading to highly complex mosaics of stability domains in control parameter space. In addition, we show that the onset of higher dimensionality does not alter the prevailing dynamics instantaneously and, remarkably, even may have no effect at all, a result that cannot be predicted analytically with standard methods.

Authors with CRIS profile

Jason Gallas Lehrstuhl für Multiscale Simulation of Particulate Systems

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials

Involved external institutions

Universidade Federal do Rio Grande do Sul (UFRGS) BR Brazil (BR)

How to cite

APA:

Gallas, J.A., Gallas, J., & Junges, L. (2012). Intricate routes to chaos in the Mackey-Glass delayed feedback system. Physics Letters A, 376(30-31), 2109--2116. https://dx.doi.org/10.1016/j.physleta.2012.05.022

MLA:

Gallas, Jason A., Jason Gallas, and Leandro Junges. "Intricate routes to chaos in the Mackey-Glass delayed feedback system." Physics Letters A 376.30-31 (2012): 2109--2116.

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