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Topological portraits of multiscale coordination dynamics [PDF]

Journal of Neuroscience Methods, 2020
Living systems exhibit complex yet organized behavior on multiple spatiotemporal scales. To investigate the nature of multiscale coordination in living systems, one needs a meaningful and systematic way to quantify the complex dynamics, a challenge in ...
Mengsen Zhang, William D Kalies, J A Scott Kelso   +2 more
exaly   +2 more sources

Independence in topological and C*-dynamics

Mathematische Annalen, 2007
We develop a systematic approach to the study of independence in topological dynamics with an emphasis on combinatorial methods. One of our principal aims is to combinatorialize the local analysis of topological entropy and related mixing proper-ties. We
Hanfeng Li, Kerr David, Li Hanfeng
exaly   +1 more source

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For a Topology of Dynamical Systems

2015
Dynamical 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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On Dynamic Topological and Metric Logics

Studia Logica, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boris Konev, Roman Kontchakov, Frank Wolter, Michael Zakharyaschev   +3 more
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Topological Dynamic Matter

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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On Dynamically Presenting a Topology Course

Annals of Mathematics and Artificial Intelligence, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul A. Cairns, Jeremy Gow, Peter Collins   +2 more
openaire   +2 more sources

Topological Dynamics in Neurobiology

International Journal of Neuroscience, 1973
A 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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Uhlmann holonomy against Lindblad dynamics of topological systems at finite temperatures

Physical Review B, 2022
Chih-Chun Chien
exaly  

Topological Dynamics

2020
Anima Nagar, C. R. E. Raja
openaire   +1 more source