ISLAM, MD SHAFIQUL and GÓRA, PAWEŁ (2011) INVARIANT MEASURES OF STOCHASTIC PERTURBATIONS OF DYNAMICAL SYSTEMS USING FOURIER APPROXIMATIONS. International Journal of Bifurcation and Chaos, 21 (01). pp. 113-123. ISSN 0218-1274
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Official URL: http://dx.doi.org/10.1142/S0218127411028283
Abstract
We consider dynamical system τ : [0, 1] → [0, 1] and its stochastic perturbations , N ≥ 1. Using Fourier approximation, we construct a finite dimensional approximation PN to a perturbed Perron–Frobenius operator. Let be an invariant density of τ and be a fixed point of PN. We show that converges in L1 to .
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Article |
| Refereed: | Yes |
| Authors: | ISLAM, MD SHAFIQUL and GÓRA, PAWEŁ |
| Journal or Publication: | International Journal of Bifurcation and Chaos |
| Date: | 2011 |
| Digital Object Identifier (DOI): | 10.1142/S0218127411028283 |
| Keywords: | Stochastic perturbations of dynamical systems; Fourier approximation; Frobenius–Perron operator; probability density function; absolutely continuous invariant measures |
| ID Code: | 976828 |
| Deposited By: | Danielle Dennie |
| Deposited On: | 29 Jan 2013 14:17 |
| Last Modified: | 18 Jan 2018 17:43 |
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