𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Ergodic Properties and Rotation Number for Linear Hamiltonian Systems

✍ Scribed by Sylvia Novo; Carmen Núñez; Rafael Obaya

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
500 KB
Volume
148
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Lyapunov Exponents and Rotation Numbe
On Lyapunov Exponents and Rotation Number of Random Linear Hamiltonian Systems
✍ Heidrun Teichert 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 617 KB

## Abstract We consider linear Hamiltonian differential systems in __R__^2__n__^ depending on a stationary ergodic Markov process. The induced processes on the Lagrangian manifolds __L~p~__ and L~p~−1, __p__ (1 ≦ __p__ ≦ __n__) are studied. From this we derive representations for the Lyapunov expon

Interval oscillation criteria for linear
Interval oscillation criteria for linear Hamiltonian systems
✍ Zhaowen Zheng 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 131 KB

## Abstract In this paper some new oscillation criteria of interval type for linear matrix Hamiltonian systems are established which are different from most known ones in the sense that they are based on the information only on a sequence of subinterval of [__t__~0~, ∞) rather than on the whole hal

Self-adjoint extensions for singular lin
Self-adjoint extensions for singular linear Hamiltonian systems
✍ Huaqing Sun; Yuming Shi 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 175 KB

## Abstract This paper is concerned with self‐adjoint extensions for singular linear Hamiltonian systems. The domain of the closure of the corresponding minimal Hamiltonian operator is described by the properties of its elements at the endpoints of the discussed interval, and two different decompos

Sturmian theory for linear Hamiltonian s
Sturmian theory for linear Hamiltonian systems without controllability
✍ Roman Šimon Hilscher 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 148 KB

In this paper we present Sturmian separation and comparison theorems for linear Hamiltonian systems when no controllability assumption is imposed. This generalizes the traditional results of W. T. Reid for controllable (or normal) linear Hamiltonian systems to the possibly abnormal case. Our new the

Reducible Linear Quasi-periodic Systems
Reducible Linear Quasi-periodic Systems with Positive Lyapunov Exponent and Varying Rotation Number
✍ H.W Broer; C Simó 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 111 KB

dedicated to professor jack hale on the occasion of his 70th birthday A linear system in two dimensions is studied. The coefficients are 2?-periodic in three angles, % j , j=1, 2, 3, and these angles are linear with respect to time, with incommensurable frequencies. The system has positive Lyapunov