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Functional connectivity networks for transportation delay analysis: From theory to software.
Transp Res Interdiscip PerspectBüth CM, Zanin M.
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For a Topology of Dynamical Systems
2015Dynamical systems are mathematical objects meant to formally capture the dynamical features of deterministic systems. They are commonly defined as ordered pairs of the form DS = (S, (f t )t ∈ T), where S is a non-empty set of states or points called the state space, and (f t )t ∈ T is a family of functions on S, indexed by T, called state transitions ...
Mazzola C, GIUNTI, MARCO
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The Journal of Physical Chemistry Letters, 2020
The principles of topology in condensed matter physics have expanded to areas such as photonics, acoustics, electronics, and mechanics. Their extension to dynamic (soft) matter could enable the control and design of topological thermodynamic (micro)states and nonreciprocal dynamics, potentially leading to paradigmatic applications in molecular and ...
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The principles of topology in condensed matter physics have expanded to areas such as photonics, acoustics, electronics, and mechanics. Their extension to dynamic (soft) matter could enable the control and design of topological thermodynamic (micro)states and nonreciprocal dynamics, potentially leading to paradigmatic applications in molecular and ...
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On Dynamic Topological and Metric Logics
Studia Logica, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boris Konev +3 more
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On Dynamically Presenting a Topology Course
Annals of Mathematics and Artificial Intelligence, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul A. Cairns +2 more
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Topological Dynamics in Neurobiology
International Journal of Neuroscience, 1973A mathematical model consisting of three interrelated parts is proposed. The first part is the space of representation in terms of physico-chemical elements, the second the static topologies imposed on this space, and the third the dynamics of the representation space endowed with topological properties.
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TOPOLOGICAL DYNAMICS OF STABLE GROUPS
The Journal of Symbolic Logic, 2014AbstractAssumeGis a group definable in a modelMof a stable theoryT. We prove that the semigroupSG(M) of completeG-types overMis an inverse limit of some semigroups type-definable inMeq. We prove that the maximal subgroups ofSG(M) are inverse limits of some definable quotients of subgroups ofG.
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Transfinite Topological Dynamics
We present a canonical extension of topological dynamics to transfinite iterations, which makes precise the idea of dynamical phenomena stabilizing at different time-scales. Specifically, consider a sequence of self-maps $F=\{f_n\}$ of a compact metric space $X$. If $F$ is finitely convergent, i.e.Della Corte, Alessandro, Farotti, Marco
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2005
Summary: The author considers geometrical methods in topological fluid dynamics, and their applications, from magnetic fields of stars to global weather forecasting.
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Summary: The author considers geometrical methods in topological fluid dynamics, and their applications, from magnetic fields of stars to global weather forecasting.
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Universal topological quench dynamics for Z 2 topological phases
Science Bulletin, 2022Lin Zhang, Xiong-Jun Liu
exaly