Noninvertibility in neural networks

Computers and Chemical Engineering

Volumn 24, Issue 11, 2000, Pages 2417-2433

  Rico Martínez, Ramiro ^a   Adomaitis, Raymond A ^b   Kevrekidis, Ioannis G ^c  

^a DEPARTAMENTO DE INGENIERÍA QUÍMICA   (Mexico)

^b UNIVERSITY OF MARYLAND   (United States)

^c Princeton University   (United States)

Author keywords

Artificial neural networks; Noninvertibility; System identification; Time series processing

Indexed keywords

COMPUTATIONAL COMPLEXITY; MATHEMATICAL MODELS; NEURAL NETWORKS; ORDINARY DIFFERENTIAL EQUATIONS; PROCESS ENGINEERING; TIME SERIES ANALYSIS;

DISCRETE-TIME MODELS; NONINVERTIBILITY;

CHEMICAL ENGINEERING;

ARTICLE; ARTIFICIAL NEURAL NETWORK; DYNAMICS; MODEL; PREDICTION; SYSTEM ANALYSIS; TIME;

EID: 0034333253     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(00)00599-8     Document Type: Article

References (39)

1. Noninvertibility and the structure of basins of attraction of a model adaptive control system
2. Modeling chemical process systems via neural computation
3. Non-linear system identification using neural networks
4. Neural networks for system identification
5. A neural network approach for identification of continuous-time nonlinear dynamic systems
6. AUTO: A program for the automatic bifurcation analysis of autonomous systems
7. On some properties of invariant sets of two-dimensional non-invertible maps
8. On the global bifurcation of two-dimensional endomorphisms by use of critical lines
9. Noninvertibility and resonance in discrete-time neural networks for time series processing
10. Study of the control-relevant properties of backpropagation neural network models of nonlinear dynamical systems
11. Nonlinear signal processing and system identification: Applications to time series from electrochemical reactions
12. Rate multiplicity and oscillations in single species surface reactions
13. Global bifurcation analysis in Rayleigh-Benard convection experiments, empirical maps and numerical bifurcation analysis
14. Chaos and interior crisis in an electrochemical reaction
15. Process control with neural networks: An example
16. Nonlinear signal processing using neural networks: Prediction and system modeling
17. ODESSA - An ordinary differential equation solver with explicit simultaneous sensitivity analysis
18. Computational chaos - A prelude to computational instability
19. Nonlinear internal model control strategy for neural network models
20. Geometry from a time series
21. Recurrent neural network training with feedforward complexity
22. Pruning algorithms - A survey
23. Continuous-time modeling of nonlinear systems: A neural network approach
24. Discrete- vs. continuous-time nonlinear signal processing of Cu electrodissolution data
25. Noninvertibility in neural networks
26. Noninvertible dynamics in neural network models
27. Continuous-time nonlinear signal processing: A neural network based approach for gray box identification
28. Nonlinear system identification using neural networks: Dynamics and instabilities
29. Identification of chemical processes using recurrent networks
30. Detecting strange attractors in turbulence
31. Phase-space learning in recurrent networks
32. Forecasting and control using adaptive connectionist networks