Tag: Invertible Maps
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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.
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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.
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Inverted Delayed Henon Map
Inverting the delayed Henon map yields a repellor whose sensitivities can be explored.
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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.
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Lyapunov Spectrum for Invertible Maps
Python code to calculate the Lyapunov Spectrum for maps using the method proposed by Wolf et al. involving Gram-Schmidt reorthonormalization.