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From instability to intelligence : complexity and predictability in nonlinear dynamics / / Michail Zak, Joseph P. Zbilut, Ronald E. Meyers
| From instability to intelligence : complexity and predictability in nonlinear dynamics / / Michail Zak, Joseph P. Zbilut, Ronald E. Meyers |
| Autore | Zak Michail <1932-> |
| Edizione | [1st ed. 1997.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer Verlag, , [1997] |
| Descrizione fisica | 1 online resource (XIV, 552 p.) |
| Disciplina | 620.104 |
| Collana | Lecture Notes in Physics Monographs |
| Soggetto topico |
Dynamics - Mathematical models
Nonlinear theories - Mathematical models |
| ISBN | 3-540-69121-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Predictability in Classical Dynamics -- Open Problems in Dynamical Systems -- Instability in Dynamics -- Stabilization Principle -- Terminal (Non-Lipschitz) Dynamics in Biology and Physics -- Biological Randomness and Non-Lipschitz Dynamics -- Terminal Model of Newtonian Dynamics -- Terminal Neurodynamics -- Physical Models of Cognition -- Terminal Dynamics Approach to Discrete Event Systems -- Modeling Heartbeats Using Terminal Dynamics -- Irreversibility in Thermodynamics -- Terminal Dynamics Effects in Viscous Flows -- Quantum Intelligence -- Turbulence and Quantum Fields Computations -- Epilogue. |
| Record Nr. | UNINA-9910257401503321 |
Zak Michail <1932->
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| Berlin ; ; Heidelberg : , : Springer Verlag, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical modelling with applications in biosciences and engineering / / ioannis Argyos, Saïd Hilout, and Mohammad A. Tabatabai
| Mathematical modelling with applications in biosciences and engineering / / ioannis Argyos, Saïd Hilout, and Mohammad A. Tabatabai |
| Autore | Argyros Ioannis K. |
| Pubbl/distr/stampa | New York : , : Nova, , 2011 |
| Descrizione fisica | 1 online resource (363 pages) : illustrations |
| Disciplina | 511/.8 |
| Collana | Mathematics Research Developments |
| Soggetto topico |
Nonlinear theories - Mathematical models
Variational inequalities (Mathematics) |
| ISBN | 1-61761-639-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910136581203321 |
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Argyros Ioannis K.
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| New York : , : Nova, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Nonlinear system identification [[electronic resource]] : NARMAX methods in the time, frequency, and spatio-temporal domains / / Stephen A. Billings
| Nonlinear system identification [[electronic resource]] : NARMAX methods in the time, frequency, and spatio-temporal domains / / Stephen A. Billings |
| Autore | Billings S. A |
| Pubbl/distr/stampa | Chichester, England, : Wiley, c2013 |
| Descrizione fisica | 1 online resource (607 p.) |
| Disciplina | 003/.75 |
| Soggetto topico |
Nonlinear systems
Nonlinear theories - Mathematical models Systems engineering |
| ISBN |
1-118-53555-3
1-118-53556-1 1-118-53554-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Tempora Domains; Copyright; Contents; Preface; 1 Introduction; 1.1 Introduction to System Identification; 1.1.1 System Models and Simulation; 1.1.2 Systems and Signals; 1.1.3 System Identification; 1.2 Linear System Identification; 1.3 Nonlinear System Identification; 1.4 NARMAX Methods; 1.5 The NARMAX Philosophy; 1.6 What is System Identification For?; 1.7 Frequency Response of Nonlinear Systems; 1.8 Continuous-Time, Severely Nonlinear, and Time-Varying Models and Systems; 1.9 Spatio-temporal Systems
1.10 Using Nonlinear System Identification in Practice and Case Study ExamplesReferences; 2 Models for Linear and Nonlinear Systems; 2.1 Introduction; 2.2 Linear Models; 2.2.1 Autoregressive Moving Average with Exogenous Input Model; 2.2.1.1 FIR Model; 2.2.1.2 AR Model; 2.2.1.3 MA Model; 2.2.1.4 ARMA Model; 2.2.1.5 ARX Model; 2.2.1.6 ARMAX Model; 2.2.1.7 Box-Jenkins Model; 2.2.2 Parameter Estimation for Linear Models; 2.2.2.1 ARX Model Parameter Estimation - The Least Squares Algorithm; 2.2.2.2 ARMAX Model Parameter Estimation - The Extended Least Squares Algorithm 2.3 Piecewise Linear Models2.3.1 Spatial Piecewise Linear Models; 2.3.1.1 Operating Regions; 2.3.1.2 Parameter Estimation; 2.3.1.3 Simulation Example; 2.3.2 Models with Signal-Dependent Parameters; 2.3.2.1 Decomposition of Signal-Dependent Models; 2.3.2.2 Parameter Estimation of Signal-Dependent Models; 2.3.2.3 Simulation Example; 2.3.3 Remarks on Piecewise Linear Models; 2.4 Volterra Series Models; 2.5 Block-Structured Models; 2.5.1 Parallel Cascade Models; 2.5.2 Feedback Block-Structured Models; 2.6 NARMAX Models; 2.6.1 Polynomial NARMAX Model; 2.6.2 Rational NARMAX Model 2.6.2.1 Integral Model2.6.2.2 Recursive Model; 2.6.2.3 Output-affine Model; 2.6.3 The Extended Model Set Representation; 2.7 Generalised Additive Models; 2.8 Neural Networks; 2.8.1 Multi-layer Networks; 2.8.2 Single-Layer Networks; 2.8.2.1 Activation Functions; 2.8.2.2 Radial Basis Function Networks; 2.9 Wavelet Models; 2.9.1 Dynamic Wavelet Models; 2.9.1.1 Random Noise; 2.9.1.2 Coloured Noise; 2.10 State-Space Models; 2.11 Extensions to the MIMO Case; 2.12 Noise Modelling; 2.12.1 Noise-Free; 2.12.2 Additive Random Noise; 2.12.3 Additive Coloured Noise; 2.12.4 General Noise 2.13 Spatio-temporal ModelsReferences; 3 Model Structure Detection and Parameter Estimation; 3.1 Introduction; 3.2 The Orthogonal Least Squares Estimator and the Error Reduction Ratio; 3.2.1 Linear-in-the-Parameters Representation; 3.2.2 The Matrix Form of the Linear-in-the-Parameters Representation; 3.2.3 The Basic OLS Estimator; 3.2.4 The Matrix Formulation of the OLS Estimator; 3.2.5 The Error Reduction Ratio; 3.2.6 An Illustrative Example of the Basic OLS Estimator; 3.3 The Forward Regression OLS Algorithm; 3.3.1 Forward Regression with OLS; 3.3.1.1 The FROLS Algorithm 3.3.1.2 Variants of the FROLS Algorithm |
| Record Nr. | UNINA-9910139042003321 |
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Billings S. A
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| Chichester, England, : Wiley, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Nonlinear system identification [[electronic resource]] : NARMAX methods in the time, frequency, and spatio-temporal domains / / Stephen A. Billings
| Nonlinear system identification [[electronic resource]] : NARMAX methods in the time, frequency, and spatio-temporal domains / / Stephen A. Billings |
| Autore | Billings S. A |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Chichester, England, : Wiley, c2013 |
| Descrizione fisica | 1 online resource (607 p.) |
| Disciplina | 003/.75 |
| Soggetto topico |
Nonlinear systems
Nonlinear theories - Mathematical models Systems engineering |
| ISBN |
1-118-53555-3
1-118-53556-1 1-118-53554-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Tempora Domains; Copyright; Contents; Preface; 1 Introduction; 1.1 Introduction to System Identification; 1.1.1 System Models and Simulation; 1.1.2 Systems and Signals; 1.1.3 System Identification; 1.2 Linear System Identification; 1.3 Nonlinear System Identification; 1.4 NARMAX Methods; 1.5 The NARMAX Philosophy; 1.6 What is System Identification For?; 1.7 Frequency Response of Nonlinear Systems; 1.8 Continuous-Time, Severely Nonlinear, and Time-Varying Models and Systems; 1.9 Spatio-temporal Systems
1.10 Using Nonlinear System Identification in Practice and Case Study ExamplesReferences; 2 Models for Linear and Nonlinear Systems; 2.1 Introduction; 2.2 Linear Models; 2.2.1 Autoregressive Moving Average with Exogenous Input Model; 2.2.1.1 FIR Model; 2.2.1.2 AR Model; 2.2.1.3 MA Model; 2.2.1.4 ARMA Model; 2.2.1.5 ARX Model; 2.2.1.6 ARMAX Model; 2.2.1.7 Box-Jenkins Model; 2.2.2 Parameter Estimation for Linear Models; 2.2.2.1 ARX Model Parameter Estimation - The Least Squares Algorithm; 2.2.2.2 ARMAX Model Parameter Estimation - The Extended Least Squares Algorithm 2.3 Piecewise Linear Models2.3.1 Spatial Piecewise Linear Models; 2.3.1.1 Operating Regions; 2.3.1.2 Parameter Estimation; 2.3.1.3 Simulation Example; 2.3.2 Models with Signal-Dependent Parameters; 2.3.2.1 Decomposition of Signal-Dependent Models; 2.3.2.2 Parameter Estimation of Signal-Dependent Models; 2.3.2.3 Simulation Example; 2.3.3 Remarks on Piecewise Linear Models; 2.4 Volterra Series Models; 2.5 Block-Structured Models; 2.5.1 Parallel Cascade Models; 2.5.2 Feedback Block-Structured Models; 2.6 NARMAX Models; 2.6.1 Polynomial NARMAX Model; 2.6.2 Rational NARMAX Model 2.6.2.1 Integral Model2.6.2.2 Recursive Model; 2.6.2.3 Output-affine Model; 2.6.3 The Extended Model Set Representation; 2.7 Generalised Additive Models; 2.8 Neural Networks; 2.8.1 Multi-layer Networks; 2.8.2 Single-Layer Networks; 2.8.2.1 Activation Functions; 2.8.2.2 Radial Basis Function Networks; 2.9 Wavelet Models; 2.9.1 Dynamic Wavelet Models; 2.9.1.1 Random Noise; 2.9.1.2 Coloured Noise; 2.10 State-Space Models; 2.11 Extensions to the MIMO Case; 2.12 Noise Modelling; 2.12.1 Noise-Free; 2.12.2 Additive Random Noise; 2.12.3 Additive Coloured Noise; 2.12.4 General Noise 2.13 Spatio-temporal ModelsReferences; 3 Model Structure Detection and Parameter Estimation; 3.1 Introduction; 3.2 The Orthogonal Least Squares Estimator and the Error Reduction Ratio; 3.2.1 Linear-in-the-Parameters Representation; 3.2.2 The Matrix Form of the Linear-in-the-Parameters Representation; 3.2.3 The Basic OLS Estimator; 3.2.4 The Matrix Formulation of the OLS Estimator; 3.2.5 The Error Reduction Ratio; 3.2.6 An Illustrative Example of the Basic OLS Estimator; 3.3 The Forward Regression OLS Algorithm; 3.3.1 Forward Regression with OLS; 3.3.1.1 The FROLS Algorithm 3.3.1.2 Variants of the FROLS Algorithm |
| Record Nr. | UNINA-9910816422803321 |
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Billings S. A
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| Chichester, England, : Wiley, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Nonlinearità, caos, complessità : le dinamiche dei sistemi naturali e sociali / Cristoforo Sergio Bertuglia, Franco Vaio
| Nonlinearità, caos, complessità : le dinamiche dei sistemi naturali e sociali / Cristoforo Sergio Bertuglia, Franco Vaio |
| Autore | Bertuglia, Cristoforo Sergio |
| Pubbl/distr/stampa | Torino : Bollati Boringhieri, 2003 |
| Descrizione fisica | 427 p. : ill. ; 23 cm |
| Disciplina | 003/.857 |
| Altri autori (Persone) | Vaio, Francoauthor |
| Collana | Saggi. Scienze |
| Soggetto topico |
Chaotic behavior in systems - Mathematical models
Nonlinear theories - Mathematical models Dynamics - Mathematical models |
| ISBN | 8833914585 |
| Classificazione |
53.1.65
LC Q172.5.C4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991002213619707536 |
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Bertuglia, Cristoforo Sergio
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| Torino : Bollati Boringhieri, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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