Understanding and Managing Systems far from Equilibrium

Comprendre et accompagner les systèmes loin de l'équilibre

Hugues Petitjean and Serge Finck
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Hugues Petitjean: UNISTRA - Université de Strasbourg
Serge Finck: P.S.Institut

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Abstract: The authors are interested in situations in which a system, evolving at a distance from its basin of attraction, displays non-linear, chaotic behaviour, as difficult to model as to manage. More specifically, they explore that moment of instability when the system is likely to branch off, either to return to the previous equilibrium, or to swing towards trajectories that lead it to collapse, or to a new state of equilibrium, or to mutation, or to emerging solutions, and so on. Whether these situations concern chemistry, life sciences, psychology, social sciences or ecology, the approach to these moments of bifurcation, rupture and change enables us to understand and manage systems at a time that may be worrying, but also full of opportunities.

Keywords: Ball-and-Cup (model); Bifurcation Theory; Systems far from Equilibrium; Alternative Stable States; Homeodynamics; Non-linear; Hysteresis; Catastrophe Theory; Etats stables alternatifs; Systèmes loin de l'équilibre; Théorie des catastrophes; Théorie des bifurcations; Non-linéaire; Homéodynamique (search for similar items in EconPapers)
Date: 2025
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Published in Cahiers de Systémique, 2025, 7, pp.5-8. ⟨10.5281/zenodo.16420697⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-05326620

DOI: 10.5281/zenodo.16420697

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