Results 71 to 80 of about 963 (172)

Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation

open access: yesIEEE 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

Using Shannon Entropy and Contagion Index to Interpret Pattern Self-Organization in a Dynamic Vegetation-Sand Model

open access: yesIEEE 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

Matrix and Inverse Matrix Projective Synchronization of Fractional‐Order Time‐Delay Chaotic Systems with Uncertainty

open access: yesInternational 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]

open access: yes
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  

Neimark–Sacker Bifurcation Analysis and 0–1 Chaos Test of an Interactions Model between Industrial Production and Environmental Quality in a Closed Area

open access: yes, 2015
A discrete-time model is presented to describe the complex interaction between industrial production and environmental quality in a closed area. Its Neimark–Sacker bifurcation and chaos are discussed based on Wen’s explicit Neimark–Sacker bifurcation ...
Zhiheng Wu, Baogui Xin
core   +1 more source

Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System

open access: yes, 2020
In this paper, we consider a system of strongly coupled logistic maps involving two parameters. We classify and investigate the stability of its fixed points.
A. Mareno, L. Q. English
core   +1 more source

Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect

open access: yesJournal 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
doaj   +1 more source

Investigating Global Stability and Bifurcation in an Ecological Dynamical System

open access: yesComplexity, 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

Consumer sentiment and business cycles: a Neimark-Sacker bifurcation scenario

open access: yes
We seek to demonstrate that consumer sentiment may create fluctuations in economic activity. Our nonlinear discrete-time model possesses, for instance, a Neimark-Sacker bifurcation, after which a stable steady state is replaced by (quasi-)periodic motion.
Frank Westerhoff
core   +1 more source

On the analysis of stability, bifurcation, and chaos control of discrete-time predator-prey model with Allee effect on predator

open access: yes, 2022
In this paper, a discrete predator-prey model with Allee effect which is obtained by the forward Euler method has been investigated. The local stability conditions of the model at the fixed point have been discussed.
Figen KANGALGİL   +5 more
core   +1 more source

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