Results 21 to 30 of about 19,850 (262)
A note on discrete-time dynamical systems under periodic perturbation
Discrete Dynamics in Nature and Society, 2006 We present some results on the existence and the minimum period of periodic orbits for discrete-time dynamical systems under periodic perturbation. Some examples are presented to illustrate these results.
Huimin Li, Xiaosong Yang
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Effects of Discrete Time Delays and Parameters Variation on Dynamical Systems
Biomath, 2015 Delay Differential Equations (DDE's) have received considerable attention in recent years. В While most of these articles focused on the effects of the time delays on the stability of the equilibrium points and on the bifurcation that they may raised, В ...
Ibrahim Oumar Diakite +1 more
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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
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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
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On Discrete-Time Polynomial Dynamical Systems on Hypergraphs
IEEE Control Systems LettersarXiv admin note: text overlap with arXiv:2401 ...
Shaoxuan Cui +3 more
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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 ...
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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
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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
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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
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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
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