Exponential Decay of Correlations for a Real-Valued Dynamical System Generated by a k$k$ Dimensional System
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-018-0192-z
Abstract: As a first step towards modelling real time-series, we study a class of real-variable, bounded processes {Xn,n∈N}$\{X_{n}, n\in \mathbb{N}\}$ defined by a deterministic k$k$-term recurrence relation Xn+k=φ(Xn,…,Xn+k−1)$X_{n+k} = \varphi (X _{n}, \ldots , X_{n+k-1})$. These… read more here.
Keywords: dynamical system; system; exponential decay; correlations real ... See more keywords
Hyperchaotic Analysis and Adaptive Projective Synchronization of Nonlinear Dynamical System
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DOI: 10.1007/s10598-017-9378-x
Abstract: In this paper, a new nonlinear dynamical system has been studied which is obtained from the 3D chaotic system. The hyperchaotic analysis of the new system is checked in terms of dissipation, equilibrium points and… read more here.
Keywords: dynamical system; system; analysis; adaptive projective ... See more keywords
Dynamical system analysis of a Dirac-Born-Infeld model: a center manifold perspective
Sign Up to like & getrecommendations! Published in 2019 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-019-2608-0
Abstract: In this paper we present the cosmological dynamics of a perfect fluid and the Dark Energy component of the Universe, where our model of the dark energy is the string-theoritic Dirac-Born-Infeld (DBI) model. We assume… read more here.
Keywords: dynamical system; system; system analysis; model ... See more keywords
Setvalued Dynamical Systems for Stochastic Evolution Equations Driven by Fractional Noise
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-019-09811-9
Abstract: We consider Hilbert-valued evolution equations driven by Hölder paths with Hölder index greater than 1/2, which includes the case of fractional noises with Hurst parameters in (1/2,1). The assumptions of the drift term will not… read more here.
Keywords: evolution equations; dynamical systems; dynamical system; setvalued dynamical ... See more keywords
The Global Exponential Stability of a Dynamical System for Solving Variational Inequalities
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DOI: 10.1007/s11067-019-09457-6
Abstract: We revisit a dynamical system for solving variational inequalities. Under strongly pseudomonotone and Lipschitz continuous assumptions of the considered operator, we obtain the global exponential stability of the trajectories. Numerical examples are presented confirming the… read more here.
Keywords: variational inequalities; dynamical system; stability; system solving ... See more keywords
The order of coexistence of homoclinic trajectories for the maps of an interval
Sign Up to like & getrecommendations! Published in 2019 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-019-01704-w
Abstract: A nonperiodic trajectory of a discrete dynamical system is called n-homoclinic if its α- and ω-limit sets coincide and form the same cycle of period n. We prove the statement that the ordering1 ⊳ 3 ⊳ 5 ⊳ 7 ⊳ ... ⊳ 2 ⋅ 1 ⊳ 2 ⋅ 3 ⊳ 2 ⋅ 5 ⊳ ... ⊳ 22 ⋅ 1 ⊳ 22 ⋅ 3 ⊳ 22 ⋅ 5 ⊳ ...determines the coexistence… read more here.
Keywords: dynamical system; coexistence homoclinic; homoclinic trajectory; homoclinic trajectories ... See more keywords
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
Identification of nonlinear dynamical system with synthetic data: a preliminary investigation
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DOI: 10.1016/j.ifacol.2018.09.227
Abstract: Abstract This paper introduces a new rationale for learning nonlinear dynamical systems. The method makes use of an additional identification dataset, obtained without performing a new experiment on the system under study. The data are… read more here.
Keywords: dynamical system; identification; system synthetic; nonlinear dynamical ... See more keywords
Formulation of Fatigue Dynamics as Hybrid Dynamical System for Model Predictive Control
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DOI: 10.1016/j.ifacol.2020.12.080
Abstract: Abstract The standard fatigue estimation procedure is formulated as a hybrid dynamical system, which subsequently is utilized to calculate an economic terminal cost in MPC. This formulation is enabled by the development of a novel… read more here.
Keywords: hybrid dynamical; fatigue; formulation; dynamical system ... See more keywords
On mean sensitive tuples
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DOI: 10.1016/j.jde.2021.06.032
Abstract: Abstract In this paper we introduce and study several mean forms of sensitive tuples. It is shown that the topological or measure-theoretical entropy tuples are correspondingly mean sensitive tuples under certain conditions (minimal in the… read more here.
Keywords: sensitive tuples; dynamical system; topological dynamical; mean sensitive ... See more keywords
A mathematical model for neuronal differentiation in terms of an evolved dynamical system
Sign Up to like & getrecommendations! Published in 2020 at "Neuroscience Research"
DOI: 10.1016/j.neures.2020.02.003
Abstract: We attempted to create a mathematical model for neuronal differentiation. The present study was performed within the framework of self-organization with constraints by looking for an optimized informational unit. We treated networks of individual dynamical… read more here.
Keywords: dynamical system; network; mathematical model; neuronal differentiation ... See more keywords