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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Backpropagation and sensitivity analysis in high-dimensional hyperbolic chaos
高维 双曲混沌 反向传播 敏感性分析
2023/4/26
We devise fast algorithms for computing the linear response, which is the parameter-gradient of long-time statistics of hyperbolic chaotic dynamical systems. The algorithm is in the form of progressiv...
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
kneading invariant symbolic dynamics T-points Lorenz attractor chaos homoclinic and heteroclinic orbits
2012/4/26
A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems wit...
A matched filter maximizes the signal-to-noise ratio of a signal. In the recent work of Corron et al. [Chaos 20, 023123 (2010)], a matched filter is derived for the chaotic waveforms produced by a pie...
Input-Dependent Suppression of Chaos in Recurrent Neural Networks
Chaos Recurrent Neural Networks
2010/4/7
Neuronal activity arises from an interaction between ongoing firing generated spontaneously by neural circuits and responses driven by external stimuli. Using mean-field analysis, we ask how a neural ...
In this paper chaos and the relation between it and the positive topological entropy are discussed in topological Markov chains as well as their factors.