Results 61 to 70 of about 317 (164)

Assembly–Energetics–Control (AEC) Design Framework for Rotary DNA Nanomachines

ChemBioChem, Volume 27, Issue 8, April 2026.
Rotary DNA nanomachine is an emerging research interest using DNA as building blocks to fabricate nature‐mimicking mechanisms. Here, we suggest a three‐dimensional conceptual framework to categorize the existing designs and identify underexplored directions.
Xue‐Yan Wang, Yicheng Heng, Julian A. Tanner, Simon Chi‐Chin Shiu   +3 more
wiley   +1 more source

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

Computation
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, Vijeesh Vijayan, Hayder Natiq, Alexander N. Pchelintsev, Karthikeyan Rajagopal, Sajad Jafari   +5 more
doaj   +1 more source

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

Journal 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, Faizah J. Alanazi, Mehmet Yavuz, Sayed Saber   +3 more
doaj   +1 more source

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

Electronic 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

Topology 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]

Transactions 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

Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations

Electronic Journal of Differential Equations, 2002
We study the problem of upper semicontinuity of compact global attractors of non-autonomous dynamical systems for small perturbations. For the general nonautonomous dynamical systems, we give the conditions of upper semicontinuity of attractors for small
David N. Cheban
doaj  

Stability Analysis of Nonlinear Caputo Cotangent Fractional Systems

Fractal and Fractional
In this manuscript, the stability characteristics of nonlinear nonautonomous dynamical systems with the newly defined Caputo cotangent fractional derivative (CCFD) are discussed.
Ibtehal Alazman, Lakhlifa Sadek, Ahmad Shafee, Khalid Aldawsari   +3 more
doaj   +1 more source

Heteroclinic points of multi-dimensional dynamical systems

Electronic Journal of Differential Equations, 2003
The authors investigate dynamical behavior of multi-dimensional dynamical systems. These are the systems with a multi-dimensional independent ``time" variable.
David N. Cheban, Jinqiao Duan, Anatoly Gherco   +2 more
doaj  

On nonautonomous discrete dynamical systems driven by means

Advances in Difference Equations, 2006
We investigate the asymptotic behavior of nonautonomous discrete dynamical systems governed by the system of difference equations (recursive equations): yj(n+1) = Fj(n,y,(n)); j = 1,...,k, n = 0,1,2,..., where y(n) = (y1(n),...,yk(n)) ∈ ℝk ...
Abu-Saris Raghib M
doaj