Variational principles for nonautonomous dynamical systems
Andrzej Bi\'s
TL;DR
This paper develops variational principles for pressure functions in nonautonomous dynamical systems, extending thermodynamical formalism to systems with time-dependent maps using convex analysis techniques.
Contribution
It introduces a novel approach to nonautonomous systems by applying convex analysis to establish variational principles for pressure functions.
Findings
Derived variational principles for pressure in nonautonomous systems
Extended thermodynamical formalism to time-dependent dynamics
Provided mathematical framework for analyzing nonautonomous systems
Abstract
We study thermodynamical formalism of a discrete nonautonomous dynamical system determined by a sequence of continuous self-maps of a compact metric space. Using the methods of Convex Analysis we get variational principles for pressure functions determined by the system.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Stability and Controllability of Differential Equations · Control and Stability of Dynamical Systems