Hamiltonian systems with linear potential and elastic constraints

Maciej Wojtkowski

Fundamenta Mathematicae (1998)

  • Volume: 157, Issue: 2-3, page 305-341
  • ISSN: 0016-2736

Abstract

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We consider a class of Hamiltonian systems with linear potential, elastic constraints and arbitrary number of degrees of freedom. We establish sufficient conditions for complete hyperbolicity of the system.

How to cite

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Wojtkowski, Maciej. "Hamiltonian systems with linear potential and elastic constraints." Fundamenta Mathematicae 157.2-3 (1998): 305-341. <http://eudml.org/doc/212295>.

@article{Wojtkowski1998,
abstract = {We consider a class of Hamiltonian systems with linear potential, elastic constraints and arbitrary number of degrees of freedom. We establish sufficient conditions for complete hyperbolicity of the system.},
author = {Wojtkowski, Maciej},
journal = {Fundamenta Mathematicae},
keywords = {Hamiltonian system with linear potential; completely hyperbolic; Lyapunov exponents},
language = {eng},
number = {2-3},
pages = {305-341},
title = {Hamiltonian systems with linear potential and elastic constraints},
url = {http://eudml.org/doc/212295},
volume = {157},
year = {1998},
}

TY - JOUR
AU - Wojtkowski, Maciej
TI - Hamiltonian systems with linear potential and elastic constraints
JO - Fundamenta Mathematicae
PY - 1998
VL - 157
IS - 2-3
SP - 305
EP - 341
AB - We consider a class of Hamiltonian systems with linear potential, elastic constraints and arbitrary number of degrees of freedom. We establish sufficient conditions for complete hyperbolicity of the system.
LA - eng
KW - Hamiltonian system with linear potential; completely hyperbolic; Lyapunov exponents
UR - http://eudml.org/doc/212295
ER -

References

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  10. [Ro] B. A. Rozenfel'd, Multidimensional Spaces, Nauka, Moscow, 1966 (in Russian). 
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  12. [S] N. Simányi, The characteristic exponents of the falling ball model, Comm. Math. Phys. 182 (1996), 457-468. Zbl0871.58046
  13. [W1] M. P. Wojtkowski, A system of one dimensional balls with gravity, ibid. 126 (1990), 507-533. 
  14. [W2] M. P. Wojtkowski, The system of one dimensional balls in an external field. II, ibid. 127 (1990), 425-432. 
  15. [W3] M. P. Wojtkowski, Systems of classical interacting particles with nonvanishing Lyapunov exponents, in: Lyapunov Exponents (Oberwolfach, 1990), L. Arnold, H. Crauel and J.-P. Eckmann (eds.), Lecture Notes in Math. 1486, Springer, 1991, 243-262. Zbl0744.58023

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