Category: Chaos and Nonlinear Dynamics

Lyapunov spectra of inverted discrete dynamical systems
One can estimate the lyapunov spectrum of dynamical systems and their inverted counterparts using local Jacobian matrices and Wolf’s algorithm.

Modelling Sensitivity using Neural Networks
Artificial neural networks can be applied to the delayed Henon map and shown to replicate the sensitivities of the map surprisingly well.

Inverted Delayed Henon Map
Inverting the delayed Henon map yields a repellor whose sensitivities can be explored.

Delayed Henon Map Sensitivities
Partial derivatives can be used to explore how sensitive the output of a function is to perturbations in each of the time lags.