Results 41 to 50 of about 5,568 (185)
Dynamical behavior of a general non-autonomous dynamical system
Applied General TopologyIn this work, we investigate dynamical notions such as minimality, almost periodicity, equicontinuity, transitivity, proximality and periodicity for a general non-autonomous dynamical system.
Sushmita Yadav, Puneet Sharma
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Journal of Mathematics, 2023 The SIRDV (Susceptible, Infected, Recovered, Death, Vaccinated) compartmental model along with time-varying parameters is used to model the spread of COVID-19 in the United States. Time-varying parameters account for changes in transmission rates, people’
Kevin Yotongyos, Somchai Sriyab
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The Ergodicity and Sensitivity of Nonautonomous Discrete Dynamical Systems
Mathematics, 2023 Let (E,h1,∞) be a nonautonomous discrete dynamical system (briefly, N.D.D.S.) that is defined by a sequence (hj)j=1∞ of continuous maps hj:E→E over a nontrivial metric space (E,d). This paper defines and discusses some forms of ergodicity and sensitivity
Risong Li +5 more
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Dynamics of Weakly Mixing Nonautonomous Systems [PDF]
International Journal of Bifurcation and Chaos, 2019 For a commutative nonautonomous dynamical system we show that topological transitivity of the nonautonomous system induced on probability measures (hyperspaces) is equivalent to the weak mixing of the induced systems. Several counter examples are given for the results which are true in autonomous but need not be true in nonautonomous systems. Wherever
Mohammad Salman, Ruchi Das
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Complexity, 2018 This paper concerns complex delayed neural networks with discontinuous activations. Based on the framework of differential inclusion theory, we design two novel controllers by regulating a parameter σ 0 ...
Chao Yang, Lihong Huang, Fangmin Li
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Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]
, 2006 The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Kloeden, Peter E., Zmorzynska, Alexandra
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MathematicsIn this paper, we study the shrinking target problem regarding Q-Cantor series expansions of the formal Laurent series field. We provide the Hausdorff dimension of a very general shrinking target scheme generated by the nonautonomous dynamical system on ...
Xue Li, Chao Ma
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Theoretical and paleoclimatic evidence for abrupt transitions in the Earth system
Environmental Research Letters, 2022 Specific components of the Earth system may abruptly change their state in response to gradual changes in forcing. This possibility has attracted great scientific interest in recent years, and has been recognized as one of the greatest threats associated
Niklas Boers +2 more
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Features of pulsed synchronization of a systems with a tree-dimensional phase space [PDF]
, 2006 Features of synchronization picture in the system with the limit cycle embedded in a three-dimensional phase space are considered. By the example of Ressler system and Dmitriev - Kislov generator under the action of a periodic sequence of delta ...
A. P. Kuznetsov +10 more
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Bioelectrical Interfaces Beyond Excitable Cells: Cancer, Aging, and Gene Expression Modulation
Advanced Materials Interfaces, EarlyView.ABSTRACT The investigation of biological conductivity has evolved from its classical foundation based on ionic fluxes underpinning cardiac and neuronal excitability to a multifaceted regulator of cellular physiology. Traditional approaches for probing electrical events in living matter focused largely on action potentials recording.
Paolo Cadinu +14 more
wiley +1 more source