Using machine learning to predict catastrophes in dynamical systems
DOI10.1016/j.cam.2011.11.006zbMath1237.65141OpenAlexW2145827601MaRDI QIDQ765272
Jesse Berwald, Tomáš Gedeon, John W. Sheppard
Publication date: 19 March 2012
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2011.11.006
predictiondynamical systemsnumerical examplesConley indexfinancial marketsmachine learningNonlinear dynamical systemscomplex ecosystemsEarth's climatelocations of critical transitionsmachine learning method
Inference from stochastic processes and prediction (62M20) Ecology (92D40) Meteorology and atmospheric physics (86A10) Auctions, bargaining, bidding and selling, and other market models (91B26) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20) Prediction theory (aspects of stochastic processes) (60G25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Excision-preserving cubical approach to the algorithmic computation of the discrete Conley index
- Computational homology
- Computing persistent homology
- Zeta functions, periodic trajectories, and the Conley index
- An algorithmic approach to the Conley index theory
- The Connection Matrix Theory for Morse Decompositions
- Topology of Windows in the High-Dimensional Parameter Space of Chaotic Maps
- Uniformly Hyperbolic Attractor of the Smale–Williams Type for a Poincaré Map in the Kuznetsov System
- Mappings and homological properties in the Conley index theory
- Connected Simple Systems, Transition Matrices and Heteroclinic Bifurcations
- Chaos in the Lorenz equations: a computer-assisted proof
- Chaotic dynamics of a nonlinear density dependent population model
- Shift equivalence and the Conley index
- A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems
- Nearest neighbor pattern classification