A Discrete Dynamical System Approach to Pathway Activation Profiles of Signaling Cascades
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-017-0296-z
Abstract: In living organisms, cascades of covalent modification cycles are one of the major intracellular signaling mechanisms, allowing to transduce physical or chemical stimuli of the external world into variations of activated biochemical species within the… read more here.
Keywords: dynamical system; pathway activation; discrete dynamical; approach ... See more keywords
Convergence on Two Dimensional 1-Slow Discrete Dynamical Systems
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DOI: 10.1007/s12591-016-0330-x
Abstract: In this work we give sufficient and necessary conditions for convergence for nonhyperbolic fixed points of two dimensional 1-slow discrete dynamical systems. To achieve this goal, we introduce two angular functions that play the role… read more here.
Keywords: convergence; dynamical systems; discrete dynamical; dimensional slow ... See more keywords
Control of periodic dynamics of nonlinear and chaotic discrete dynamical systems
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0970-x
Abstract: The present work consists of a generalization to dimensions greater than 1 of the results obtained on control and more precisely on the suppression of periodic rhythms in unidimensional nonlinear discrete dynamic systems. This method… read more here.
Keywords: control; chaotic discrete; discrete dynamical; predictive control ... See more keywords
Some theorems on the almost-periodic solutions of discrete dynamical systems
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.06.027
Abstract: Abstract In this paper, we are concerned with almost periodic sequences. We study various types of almost periodic sequences arising in the literature and adapt their notions to the parametric framework. Then, similarly to the… read more here.
Keywords: theorems almost; solutions discrete; almost periodic; dynamical systems ... See more keywords
Preservation of shadowing in discrete dynamical systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123767
Abstract: Abstract We look at the preservation of various notions of shadowing in discrete dynamical systems under inverse limits, products, factor maps and the induced maps for symmetric products and hyperspaces. The shadowing properties we consider… read more here.
Keywords: preservation shadowing; discrete dynamical; dynamical systems; shadowing discrete ... See more keywords
Bekenstein–Hawking entropy for discrete dynamical systems on sites
Sign Up to like & getrecommendations! Published in 2019 at "Modern Physics Letters A"
DOI: 10.1142/s0217732319502651
Abstract: In this paper, we extend the notion of Bekenstein–Hawking entropy for a cover of a site. We deduce a new class of discrete dynamical system on a site and we introduce the Bekenstein–Hawking entropy for… read more here.
Keywords: systems sites; dynamical systems; hawking entropy; bekenstein hawking ... See more keywords
On disruptions of nonautonomous discrete dynamical systems in the context of their local properties
Sign Up to like & getrecommendations! Published in 2017 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0069
Abstract: Abstract The aim of the paper is to examine topological properties of disruptions of nonautonomous discrete dynamical system by other “close” systems. Our considerations will be connected with entropy of a system at a point… read more here.
Keywords: systems context; properties disruptions; discrete dynamical; dynamical systems ... See more keywords
Canonical Kane’s Equations of Motion for Discrete Dynamical Systems
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DOI: 10.2514/1.j057603
Abstract: The generalized inversion-based canonical equations of motion (CEOMs) for ideally constrained discrete dynamical systems are introduced in the framework of Kane’s method. Upon selection of the iner... read more here.
Keywords: equations motion; canonical kane; discrete dynamical; dynamical systems ... See more keywords