Consider the Lorenz system $$\dot{x}(t) = \sigma(y-x) \, ,$$ $$\dot{y}(t) = x(\rho-z) - y \, ,$$ $$\dot{z}(t) = xy-\beta z \, .$$ Usually one considers the parameters $\sigma, \rho,$ and $\beta$ to be positive. Is there an inherent problem in the system if these parameters are negative?
2026-03-26 03:05:57.1774494357
Lorenz equations with negative parameters
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