Results 81 to 90 of about 1,013 (204)
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
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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Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation
IEEE Access, 2019 Bifurcation is considered the main mathematical mechanism for the formation of spatial self-organizing patterns in many studies. When bifurcation was initially defined, only the transition of the system from stable state to unstable state or from uniform
Feifan Zhang +4 more
doaj +1 more source
IEEE Access, 2020 Vegetation pattern is one of the most important self-organized patterns in ecological systems. The formation mechanism of vegetation patterns has been attributed to dynamic bifurcations, while from the external perspective, the regularity of patterns ...
Feifan Zhang +4 more
doaj +1 more source
International Journal of Differential Equations, Volume 2024, Issue 1, 2024.In the present article, the matrix projective synchronization (MPS) and the inverse matrix projective synchronization (IMPS) have been analyzed with fractional‐order chaotic systems with uncertain terms. First, we theoretically discussed both types of synchronizations.
Vijay K. Shukla +5 more
wiley +1 more source
Estudo da bifurcação de Neimark-Sacker [PDF]
This dissertation deals with a local bifurcation for planar smooth mappings, depending on a real parameter, called Neimark-Sacker bifurcation of codimension 1, which, in a certain sense, shares many similarities with the Hopf bifurcation for ordinary ...
CARDOSO, Júlio Cesar Silveira
core
Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect
Journal of Biological Dynamics, 2017 In this paper, we study the global dynamics and bifurcations of a two-dimensional discrete time host–parasitoid model with strong Allee effect. The existence of fixed points and their stability are analysed in all allowed parametric region.
Abdul Qadeer Khan +2 more
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Investigating Global Stability and Bifurcation in an Ecological Dynamical System
Complexity, Volume 2024, Issue 1, 2024.We consider a continuous‐time model describing the interaction between phytoplankton and zooplankton using a Holling type‐II response. We then transform this continuous‐time model into a discrete‐time counterpart using a fractional‐order discretization method.
Muhammad Salman Khan +4 more
wiley +1 more source