Simplest chaotic flow

dx/dt = y

dy/dt = z

dz/dt = -x + y2 - Az

2.0168 < A < 2.0577

https://sprott.physics.wisc.edu/simpjerk.htm

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Discovered last summer

Jerk function: j = da/dt

Compare

- Lorenz equations (7 variables, 2 NL)

- Rossler equations (7 variables, 1 NL)

Attractor

- Dimension 2.0265

- Approximately a Mobius strip

- Basin resembles a hairy tadpole