CHARACTERIZATION OF HOMOCLINIC CHAOS IN A GLOW DISCHARGE THROUGH RETURN MAPS

1 December 1994

journal article
research article
Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos

Vol. 04 (06) , 1483-1493
https://doi.org/10.1142/s0218127494001155

Abstract

We show that homoclinic chaos in the current of a DC electrical discharge is easily characterized through return maps. We derive the same information from a Poincaré section map, a time-of-flight map, and a next maximal amplitude map. The presence of a homoclinic orbit in the phase space of our system is responsible for the equivalence of the three kinds of return maps.

Keywords

ELECTRICAL DISCHARGE
HOMOCLINIC CHAOS
RETURN MAPS
GLOW DISCHARGE
SYSTEM IS RESPONSIBLE
FLIGHT

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