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EnglishIn this paper we consider the singular value decomposition (SVD) of a fundamental matrix solution in order to approximate the Lyapunov and exponential dichotomy spectra of a given system. One of our main results is to prove that SVD techniques are sound approaches for systems with stable and distinct Lyapunov exponents. We also show how the information which emerges with the SVD techniques can be used to obtain information on the growth directions associated to given spectral intervals.
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| Titolo: | The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects |
| Autori: | |
| Data di pubblicazione: | 2006 |
| Rivista: | |
| Citazione: | The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects / DIECI L; ELIA C. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 230(2006), pp. 502-531. |
| Abstract: | In this paper we consider the singular value decomposition (SVD) of a fundamental matrix solution in order to approximate the Lyapunov and exponential dichotomy spectra of a given system. One of our main results is to prove that SVD techniques are sound approaches for systems with stable and distinct Lyapunov exponents. We also show how the information which emerges with the SVD techniques can be used to obtain information on the growth directions associated to given spectral intervals. |
| Handle: | http://hdl.handle.net/11586/13380 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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