Variants of the Nose–Hoover oscillator
J.C. Sprott
Department of Physics, University of Wisconsin - Madison,
Madison, WI 53706, USA
Received 5 August 2019 Published online 26 March 2020
Abstract.
The Nose–Hoover oscillator is a well-studied chaotic system
originally proposed to model a harmonic oscillator in equilibrium
with a heat bath at constant temperature. Although it is a simple
three-dimensional system with five terms and two quadratic
nonlinearities, it displays a rich variety of unusual dynamics, but
it falls considerably short of its original purpose. This review
describes two simple variants of the Nose–Hoover oscillator, the
first of which satisfies the original goal exactly, and the second
of which exhibits a hidden global chaotic attractor that fills all
of its three-dimensional state space.
Ref: J. C. Sprott, European Physical Journal Special Topics 229,
963-971 (2020).
The complete
paper is available in PDF format.
Return to Sprott's Books and Publications.