In this work we aim to show how chaos arises in dynamical systems, following the historical discoveries that have led to a precise characterization of this concept. In our opinion this approach is particularly meaningful, albeit not the sole possible. We focus our presentation on conservative systems, not touching upon the equally important topic of chaos in dissipative systems and the countless applications of the theory. In fact, our main goal is to present —as clearly as possible— how a random behavior may arise in purely deterministic systems. To this end, we tried to explain in a simple way concepts at times difficult, keeping proofs and formulae to a minimum.

Caos - Chaos

Giulio Casati
Co-primo
;
Giorgio Mantica
Co-primo
2021-01-01

Abstract

In this work we aim to show how chaos arises in dynamical systems, following the historical discoveries that have led to a precise characterization of this concept. In our opinion this approach is particularly meaningful, albeit not the sole possible. We focus our presentation on conservative systems, not touching upon the equally important topic of chaos in dissipative systems and the countless applications of the theory. In fact, our main goal is to present —as clearly as possible— how a random behavior may arise in purely deterministic systems. To this end, we tried to explain in a simple way concepts at times difficult, keeping proofs and formulae to a minimum.
https://www.sif.it/riviste/sif/gdf/econtents/2021/062/04/article/3
caos dynamical systems
Casati, Giulio; Mantica, GIORGIO DOMENICO PIO
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2133112
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