Structure-selection techniques applied to continuous-time nonlinear models
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Publication:5944256
DOI10.1016/S0167-2789(01)00313-XzbMath1098.34508OpenAlexW2122323315WikidataQ127097106 ScholiaQ127097106MaRDI QIDQ5944256
Luis Antonio Aguirre, Ubiratan S. Freitas, Christophe Letellier, Jean Maquet
Publication date: 4 October 2001
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00313-x
Nonlinear ordinary differential equations and systems (34A34) Applications of dynamical systems (37N99) Time series analysis of dynamical systems (37M10) Real polynomials: analytic properties, etc. (26C05)
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Uses Software
Cites Work
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- Determining mixed linear-nonlinear coupled differential equations from multivariate discrete time series sequences
- Parameter uncertainties in models of equivariant dynamical systems
- Identification and prediction of low dimensional dynamics
- Phase space reconstruction for symmetric dynamical systems
- Extraction of dynamical equations from chaotic data
- Nonlinear prediction of chaotic time series
- Recovering map static nonlinearities from chaotic data using dynamical models
- Practical method for determining the minimum embedding dimension of a scalar time series
- On the trajectory method for the reconstruction of differential equations from time series
- Nonlinear interactions in a rotating disk flow: From a Volterra model to the Ginzburg–Landau equation
- TOPOLOGICAL ANALYSIS OF CHAOS IN EQUIVARIANT ELECTRONIC CIRCUITS
- Practical identification of NARMAX models using radial basis functions
- Orthogonal least squares methods and their application to non-linear system identification
- On the non-equivalence of observables in phase-space reconstructions from recorded time series
- A LEARNING ALGORITHM FOR OPTIMAL REPRESENTATION OF EXPERIMENTAL DATA
- GLOBAL DYNAMICAL EQUATIONS AND LYAPUNOV EXPONENTS FROM NOISY CHAOTIC TIME SERIES
- ON PERIODIC ORBITS AND HOMOCLINIC BIFURCATIONS IN CHUA’S CIRCUIT WITH A SMOOTH NONLINEARITY
- GLOBAL NONLINEAR POLYNOMIAL MODELS: STRUCTURE, TERM CLUSTERS AND FIXED POINTS
- Nonlinear Identification and Cluster Analysis of Chaotic Attractors from a Real Implementation of Chua's Circuit
- Deterministic Nonperiodic Flow
- Identification of MIMO non-linear systems using a forward-regression orthogonal estimator
- On Overparametrization of Nonlinear Discrete Systems
- A General Form for Global Dynamical Data Models for Three-Dimensional Systems
- An Algorithm for Estimating Fixed Points of Dynamical Systems from Time Series
- A new look at the statistical model identification
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