A NEURO-FUZZY BASED MODEL FOR ACCURATE ESTIMATION OF THE LYAPUNOV EXPONENTS OF AN UNKNOWN DYNAMICAL SYSTEM
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Publication:2843534
DOI10.1142/S0218127412500435zbMath1270.37023OpenAlexW2093468416MaRDI QIDQ2843534
Omid Khayat, Mitra Ghergherehchi, Javad Razjouyan, Shahriar Gharibzadeh, Ali Fallah, Hossein Afarideh, Mehdi Moghaddasi
Publication date: 23 August 2013
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127412500435
Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
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Cites Work
- Unnamed Item
- Implementation of approach to compute the Lyapunov characteristic exponents for continuous dynamical systems to higher dimensions
- Kolmogorov-Sinai entropy from the ordinal viewpoint
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Determining Lyapunov exponents from a time series
- Successive identification of a fuzzy model and its applications to prediction of a complex system
- An algorithm for the \(n\) Lyapunov exponents of an \(n\)-dimensional unknown dynamical system
- Embedology
- The dimension of chaotic dynamical system in wavelet space and its application
- Statistical analysis of Lyapunov exponents from time series: a Jacobian approach.
- Estimation of intensive quantities in spatio-temporal systems from time-series
- Approximate entropy as a measure of system complexity.
- Ergodic theory of chaos and strange attractors
- Chaotic time series. Part I. Estimation of some invariant properties in state-space
- Chaotic Dynamics