brainpy.datasets.chaotic_systems.double_scroll_series

brainpy.datasets.chaotic_systems.double_scroll_series(duration, dt=0.01, R1=1.2, R2=3.44, R4=0.193, beta=11.6, Ir=4.5e-05, method='rk4', inits=None, numpy_mon=False)

Double-scroll electronic circuit attractor.

Its behavior is governed by

\[\begin{split}{\dot{V}}_{1} ={V}_{1}/{R}_{1}-\varDelta V/{R}_{2}\,-\,2{I}_{r}\,\sinh (\beta \varDelta V),\\ \dot{{V}_{2}} =\varDelta V/{R}_{2}+2{I}_{r}\,\sinh (\beta \varDelta V)-I,\\ \dot{I} ={V}_{2}-{R}_{4}I\end{split}\]

in dimensionless form.

References

1

Chang, A., Bienfang, J. C., Hall, G. M., Gardner, J. R. & Gauthier, D. J. Stabilizing unstable steady states using extended time-delay autosynchronization. Chaos 8, 782–790 (1998).