Results 91 to 100 of about 608 (201)

Impulsive practical synchronization of n-dimensional nonautonomous systems with parameter mismatch [PDF]

open access: yes, 2013
summary:This paper is concerned with impulsive practical synchronization in a class of n-dimensional nonautonomous dynamical systems with parameter mismatch.
Astakhov, V.   +8 more
core   +1 more source

Bone Metastasis: Molecular Mechanisms, Clinical Management, and Therapeutic Targets

open access: yesMedComm, Volume 7, Issue 2, February 2026.
This figure emphasizes current understanding of the regulatory networks, approach of diagnose, available preclinical models and clinical management of bone metastasis. to guide future therapeutic development. A deep understanding of these aspects enables the prevention of bone metastasis and the implementation of effective therapeutic strategies ...
Jingyuan Wen   +5 more
wiley   +1 more source

Safety criteria for aperiodic dynamical systems [PDF]

open access: yes
The use of dynamical system models is commonplace in many areas of science and engineering. One is often interested in whether the attracting solutions in these models are robust to perturbations of the equations of motion.
Bishnani, Zahir
core  

A Novel Megastable Chaotic System with Hidden Attractors and Its Parameter Estimation Using the Sparrow Search Algorithm

open access: yesComputation
This work proposes a new two-dimensional dynamical system with complete nonlinearity. This system inherits its nonlinearity from trigonometric and hyperbolic functions like sine, cosine, and hyperbolic sine functions.
Atefeh Ahmadi   +5 more
doaj   +1 more source

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling-Type III Predator–Prey Model

open access: yesJournal of Mathematics
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling-type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function ...
Ali Sarrah   +3 more
doaj   +1 more source

A characterization of nonautonomous attractors via Stone-Čech compactification

open access: yes, 2022
The present paper deals with the notions of past attractors and repellers for nonautonomous dynamical systems. This uses the topological method of extending functions in order to describe the nonautonomous attractors by means of the prolongational limit ...

core  

Attractors for discrete periodic dynamical systems

open access: yes, 2003
A mathematical framework is introduced to study attractors of discrete, nonautonomous dynamical systems which depend periodically on time. A structure theorem for such attractors is established which says that the attractor of a time-periodic dynamical ...
James F. Selgrade   +3 more
core   +1 more source

Asymptotic behavior for second-order differential equations with nonlinear slowly time-decaying damping and integrable source

open access: yesElectronic Journal of Differential Equations, 2015
In this article we establish convergence to the equilibrium of all global and bounded solutions of a gradient-like system of second-order with slow dissipation. Also we estimate the rate of convergence.
Mounir Balti
doaj  

Topological transitivity of nonautonomous dynamical systems

open access: yesTopology and its Applications
This paper explores the concept of topological transitivity in nonautonomous dynamical systems, which are defined as sequences of continuous maps from a compact metric space to itself. It investigates various conditions (including intersection of any pair of open sets and existence of a dense orbit) that could be taken as definitions of the ...
openaire   +2 more sources

Morse decompositions of nonautonomous dynamical systems [PDF]

open access: yesTransactions of the American Mathematical Society, 2007
The global asymptotic behavior of dynamical systems on compact metric spaces can be described via Morse decompositions. Their components, the so-called Morse sets, are obtained as intersections of attractors and repellers of the system. In this paper, new notions of attractor and repeller for nonautonomous dynamical systems are introduced which are ...
openaire   +1 more source

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