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Publications Influence

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory

- G. Benettin, L. Galgani, A. Giorgilli, J. Strelcyn
- Mathematics
- 1 March 1980

SommarioDa diversi anni gli esponenti caratteristici di Lyapunov sono divenuti di notevole interesse nello studio dei sistemi dinamici al fine di caratterizzare quantitativamente le proprietà di… Expand

1,297 39

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application

- G. Benettin, L. Galgani, A. Giorgilli, J. Strelcyn
- Mathematics
- 1 March 1980

SommarioQuesto articolo, insieme con il precedente (Parte 1: Teoria, pubblicato in questa stessa rivista) è inteso a fornire un metodo esplicito per il calcolo di tutti gli esponenti caratteristici… Expand

715 18

Kolmogorov Entropy and Numerical Experiments

- G. Benettin, L. Galgani, J. Strelcyn
- Physics
- 1 December 1976

852 13

A proof of the estimation from below in Pesin's entropy formula

- F. Ledrappier, J. Strelcyn
- Mathematics
- 1 June 1982

We give a proof of Pesin entropy formula in a very general setting.

152 8- PDF

Numerical experiments on the free motion of a point mass moving in a plane convex region: Stochastic transition and entropy

- G. Benettin, J. Strelcyn
- Physics
- 1 February 1978

We numerically investigate the behavior of a simple dynamical system, a plane billiard which by a continuous deformation of the border passes from a completely integrable system to a well-defined… Expand

109 4

On the non-existence of constants of derivations: the proof of a theorem of Jouanolou and its development

- J. M. Ollagnier, A. Nowicki, J. Strelcyn
- Mathematics
- 1995

En nous inspirant de la demonstration d'un theoreme de non-integrabilite de J.-P. Jouanolou, nous decrivons une methode generale pour prouver l'absence de constantes non-triviales pour certaines… Expand

64 4- PDF

On the algebraic non-integrability of Halphen system

- Andrzej J.Maciejewski, J. Strelcyn
- Mathematics, Physics
- 12 May 1995

Abstract It is proved that the Halphen system of ordinary differential equations has no non-trivial rational first integrals.

26 3- PDF

Isochronicity conditions for some planar polynomial systems

- I. Boussaada, A. R. Chouikha, J. Strelcyn
- Mathematics
- 9 July 2009

We study the isochronicity of centers at $O\in \mathbb{R}^2$ for systems $\dot x=-y+A(x,y), \dot y=x+B(x,y)$, where $A, B\in \mathbb{R}[x,y]$, which can be reduced to the Lienard type equation. Using… Expand

15 2- PDF

On the reliability of numerical studies of stochasticity

- G. Benettin, M. Casartelli, L. Galgani, A. Giorgilli, J. Strelcyn
- Physics, Mathematics
- 1 April 1979

SummaryIn the numerical study of classical dynamical systems presenting stochastic behaviour one frequently makes use, in an explicit or an implicit way, of the Birkhoff ergodic theorem. The correct… Expand

24 2

Numerical integration of differential equations in the presence of first integrals: observer method

- E. Busvelle, R. Kharab, A. Maciejewski, J. Strelcyn
- Mathematics
- 1994

We introduce a simple and powerful procedure—the observer method—in order to obtain a reliable method of numerical integration over an arbitrary long interval of time for systems of ordinary… Expand

7 2- PDF