Results 61 to 70 of about 963 (172)
Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya +4 more
wiley +1 more source
Hopf and Neimark-Sacker bifurcations: applications to discrete-time hypercycles with functional shifts [PDF]
, 2021 Hypercycles are cyclic catalytic sets of replicating macromolecules, where each one of the species catalyzes the replication of the next species of the set.
Perona García, Júlia
core +1 more source
Open Mathematics, 2022 In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin +3 more
doaj +1 more source
IET Power Electronics, Volume 17, Issue 15, Page 2250-2261, 25 November 2024.The strong non‐linear characteristics inherent in wireless power transmission systems with constant power loads often lead to unstable singular operations in actual systems. Revealing the emergence and evolution mechanism of the non‐linear characteristics of the system is an effective way to analyse and control the singular operation of actual ...
Liangyu Huang
wiley +1 more source
Bifurcations and chaos in a novel discrete economic system
Advances in Mechanical Engineering, 2019 In this article, a novel discrete system based on an economic model is introduced. Conditions for local stability of the model’s fixed points are obtained. Existence of supercritical Neimark–Sacker bifurcation is shown around the game’s Nash equilibrium.
A Al-khedhairi, AE Matouk, SS Askar
doaj +1 more source
Numerical detection of suppression of quasi‐periodic solutions
Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 3, October 2024.Abstract Dynamical systems can show so‐called quasi‐periodic solutions, which are composed of two or more so‐called incommensurable frequencies. Solving these systems in the time‐domain is not favorable, due to the fact that quasi‐periodic solutions have no finite periodicity, thus it is unclear how long simulations must be carried out in order to ...
Alexander Seifert, Hartmut Hetzler
wiley +1 more source
Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations
, 2005 Our purpose is to present some applications of the bifurcation formulae derived in [13] for periodic delay differential equations. We prove that a sequence of Neimark-Sacker bifurcations occurs as the parameter increases.
Röst, Gergely
core
Neimark–Sacker bifurcation for periodic delay differential equations
, 2005 In this paper we study the delay differential equation \dot{x}(t) = gamma(a(t)x(t) + f(t, x (t - 1))), where gamma is a real parameter, the functions a(t), f(t,xi) are C(4)-smooth and periodic in the variable t with period 1.
Röst, Gergely
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Analysis of the Stability and Chaotic Dynamics of an Ecological Model
Complexity, Volume 2024, Issue 1, 2024.Modelling has become an eminent tool in the study of ecological systems. Ecological modelling can help implement sustainable development, mathematical models, and system analysis that explain how ecological processes can promote the sustainable management of resources.
Muhammad Aqib Abbasi +6 more
wiley +1 more source
, 2018 © 2019 by ASME. Saddle-node or period-doubling bifurcations of the near-grazing impact periodic motions have been extensively studied in the impact oscillators, but the near-grazing Neimark-Sacker bifurcations have not been discussed yet.
Ji, J, Wen, G, Yin, S, Deng, S
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