Minimal sets of generalized dynamical systems
Basilio Messano; Antonio Zitarosa
- Volume: 83, Issue: 1, page 1-5
- ISSN: 1120-6330
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topMessano, Basilio, and Zitarosa, Antonio. "Minimal sets of generalized dynamical systems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 83.1 (1989): 1-5. <http://eudml.org/doc/287220>.
@article{Messano1989,
abstract = {We introduce generalized dynamical systems (including both dynamical systems and discrete dynamical systems) and give the notion of minimal set of a generalized dynamical system. Then we prove a generalization of the classical G.D. Birkhoff theorem about minimal sets of a dynamical system and some propositions about generalized discrete dynamical systems.},
author = {Messano, Basilio, Zitarosa, Antonio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Generalized dynamical system; Birkhoff system; Minimal set; generalized dynamical system; minimal set},
language = {eng},
month = {12},
number = {1},
pages = {1-5},
publisher = {Accademia Nazionale dei Lincei},
title = {Minimal sets of generalized dynamical systems},
url = {http://eudml.org/doc/287220},
volume = {83},
year = {1989},
}
TY - JOUR
AU - Messano, Basilio
AU - Zitarosa, Antonio
TI - Minimal sets of generalized dynamical systems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1989/12//
PB - Accademia Nazionale dei Lincei
VL - 83
IS - 1
SP - 1
EP - 5
AB - We introduce generalized dynamical systems (including both dynamical systems and discrete dynamical systems) and give the notion of minimal set of a generalized dynamical system. Then we prove a generalization of the classical G.D. Birkhoff theorem about minimal sets of a dynamical system and some propositions about generalized discrete dynamical systems.
LA - eng
KW - Generalized dynamical system; Birkhoff system; Minimal set; generalized dynamical system; minimal set
UR - http://eudml.org/doc/287220
ER -
References
top- BHATIA, N.P. and SZEGO, G.P., 1970. Stability Theory of Dynamical Systems. Springer-Verlag, Berlin, Heidelberg, New York. Zbl0155.42201MR289890
- BIRKHOFF, G.D., 1927. Dynamical Systems. AMS Colloquium Publications9, New York. Zbl53.0732.01JFM53.0732.01
- LA SALLE, J.P., 1976. The Stability of Dynamical Systems. CBMS Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia. Zbl0364.93002MR481301
- MESSANO, B. and ZITAROSA, A.. Some characterizations of the compact topological space, preprint. Zbl0743.54008
- SIBIRSKI, K.S., 1975. Introduction to topological dynamics. Noordhoff International Publishing, Leyden. Zbl0297.54001MR357987
- WALKER, J.A., 1980. Dynamical Systems and Evolution Equations. Plenum Press, New York and London. Zbl0421.34050MR561511
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