The paper considers the rotation number for a family of linear nonautonomous Hamiltonian systems and its relation with the exponential dichotomy concepts. Numerical techniques to compute the rotation number are proposed and they are used to infer when a given system enjoys or not an exponential dichotomy.
Rotation Number and Exponential Dichotomy for Linear Hamiltonian Systems: From Theoretical to Numerical Results / Cinzia Elia;Roberta Fabbri. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - STAMPA. - 25:(2013), pp. 95-120. [10.1007/s10884-013-9290-9]
Rotation Number and Exponential Dichotomy for Linear Hamiltonian Systems: From Theoretical to Numerical Results
FABBRI, ROBERTA
2013
Abstract
The paper considers the rotation number for a family of linear nonautonomous Hamiltonian systems and its relation with the exponential dichotomy concepts. Numerical techniques to compute the rotation number are proposed and they are used to infer when a given system enjoys or not an exponential dichotomy.
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