# Moore-Spiegel Attractor

Moore-Spiegel Attractor

The Moore–Spiegel system is a nonlinear thermo-mechanical oscillator with displacement . The parameter is analogous to the Prandtl number times the Rayleigh number, while is analogous to the Prandtl number times the Taylor number. The system describes a fluid element oscillating vertically in a temperature gradient with a linear restoring force.

x(t)

R

T

The equations of the system are:

, =z, =-x-(T-R+Rx)y-Tx.

. x |

.

y

.

z

2

Along with the Lorenz system, the Moore–Spiegel system is one of the classical low-order dynamical systems that exhibits chaos.