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» Local Lyapunov exponents of the quasi-geostrophic ocean dyna...
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SIAMADS
2010
97views more  SIAMADS 2010»
13 years 1 days ago
Localized Instability and Attraction along Invariant Manifolds
Abstract. We derive a simple criterion for transverse instabilities along a general invariant manifold of a multidimensional dynamical system. The criterion requires an appropriate...
George Haller, Themistoklis Sapsis
BC
1998
77views more  BC 1998»
13 years 5 months ago
Nonlinear analysis of epileptic activity in rabbit neocortex
Abstract. We report on the nonlinear analysis of electroencephalogram (EEG) recordings in the rabbit visual cortex. Epileptic seizures were induced by local penicillin application ...
J. Sarnthein, Henry D. I. Abarbanel, H. Pockberger
NPL
2011
12 years 8 months ago
A Neural Network Scheme for Long-Term Forecasting of Chaotic Time Series
The accuracy of a model to forecast a time series diminishes as the prediction horizon increases, in particular when the prediction is carried out recursively. Such decay is faster...
Pilar Gómez-Gil, Juan Manuel Ramírez...
CVPR
2010
IEEE
14 years 1 months ago
Chaotic Invariants of Lagrangian Particle Trajectories for Anomaly Detection in Crowded Scenes
A novel method for crowd flow modeling and anomaly detection is proposed for both coherent and incoherent scenes. The novelty is revealed in three aspects. First, it is a unique ut...
Shandong Wu, Brian E. Moore, and Mubarak Shah