Results 31 to 40 of about 24,862 (311)
On the Construction of Chaotic Dynamical Systems on the Box Fractal
Researches in Mathematics, 2021 In this paper, our main aim is to obtain two different discrete chaotic dynamical systems on the Box fractal ($B$). For this goal, we first give two composition functions (which generate Box fractal and filled-square respectively via escape time ...
N. Aslan, M. Saltan
doaj +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The original continuous-time ''goldfish'' dynamical system is characterized by two neat formulas, the first of which provides the N Newtonian equations of motion of this dynamical system, while the second provides the solution of the corresponding ...
Francesco Calogero
doaj +1 more source
On Discrete-Time Polynomial Dynamical Systems on Hypergraphs
IEEE Control Systems LettersarXiv admin note: text overlap with arXiv:2401 ...
Shaoxuan Cui +3 more
openaire +2 more sources
Dimensionality reduction of discrete-time dynamical systems
, 2022 One of the outstanding problems in complexity science and dynamical system theory is understanding the dynamic behavior of high-dimensional networked systems and their susceptibility to transitions to undesired states. Because of varied interactions, large number of parameters and different initial conditions, the study is extremely difficult and ...
openaire +2 more sources
Parallel Dynamical Systems over Graphs and Related Topics: A Survey
Journal of Applied Mathematics, 2015 In discrete processes, as computational or genetic ones, there are many entities and each entity has a state at a given time. The update of states of the entities constitutes an evolution in time of the system, that is, a discrete dynamical system.
Juan A. Aledo +2 more
doaj +1 more source
Stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities [PDF]
, 2014 This paper considers the stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities.
Qingling Zhang +7 more
core +1 more source
W-Stability of Multistable Nonlinear Discrete-Time Systems
Discrete Dynamics in Nature and Society, 2012 Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. Based on a new
Zhishuai Ding, Guifang Cheng, Xiaowu Mu
doaj +1 more source
Approximation of nearly-periodic symplectic maps via structure-preserving neural networks
Scientific Reports, 2023 A continuous-time dynamical system with parameter $$\varepsilon$$ ε is nearly-periodic if all its trajectories are periodic with nowhere-vanishing angular frequency as $$\varepsilon$$ ε approaches 0.
Valentin Duruisseaux +2 more
doaj +1 more source
Rich Dynamics Caused by a Fractional Diffusion Operator in Nonchaotic Rulkov Maps
Fractal and FractionalThere are few works about Neimark–Sacker bifurcating analysis on discrete dynamical systems with linear diffusion and delayed coupling under periodic/Neumann-boundary conditions.
Huanqin Hu, Mingshu Peng, Yingfei Qi
doaj +1 more source
Stochastic dynamics of time correlation in complex systems with discrete time [PDF]
Physical Review E, 2000 In this paper we present the concept of description of random processes in complex systems with the discrete time. It involves the description of kinetics of discrete processes by means of the chain of finite-difference non-Markov equations for time correlation functions (TCF). We have introduced the dynamic (time dependent) information Shannon entropy
Yulmetyev R., Hänggi P., Gafarov F.
openaire +5 more sources