Results 41 to 50 of about 710,736 (219)
Hopf-zero bifurcation of Oregonator oscillator with delay
Advances in Difference Equations, 2018 In this paper, we study the Hopf-zero bifurcation of Oregonator oscillator with delay. The interaction coefficient and time delay are taken as two bifurcation parameters. Firstly, we get the normal form by performing a center manifold reduction and using
Yuting Cai, Liqin Liu, Chunrui Zhang
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Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Mathematical Biosciences and Engineering, 2019 In this paper, we present a new method based on dynamical system theory to study certain type of slow-fast motions in dynamical systems, for which geometric singular perturbation theory may not be applicable.
Pei Yu, Xiangyu Wang
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Journal of Differential Equations, 1979 INTRODUCTION Imperfection-sensivity theory for structures has been the subject of many studies for some fifteen years [3][11][16]. I n mathematical terms, this theory leads to problems of perturbed bifurcation. In this respect, the British School [16][17] has studied systems with a finite number of degrees of freedom.
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Mathematics, 2019 This paper is devoted to an analysis on locating and counting satellite components born along the stability circle in the parameter space for a family of Jarratt-like iterative methods.
Young Hee Geum, Young Ik Kim
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Analyzing Predator-Prey Interaction in Chaotic and Bifurcating Environments
Chaos Theory and Applications, 2023 An analysis of discrete-time predator-prey systems is presented in this paper by determining the minimum amount of prey consumed before predators reproduce, as well as by analyzing the system's stability and bifurcation. In order to investigate the local
Abdul Khaliq, Ansar Abbas
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Abstract and Applied Analysis, 2014 We investigate the dynamics of a delayed neural network model consisting of n identical neurons. We first analyze stability of the zero solution and then study the effect of time delay on the dynamics of the system.
Jiao Jiang, Yongli Song
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Imperfect Homoclinic Bifurcations [PDF]
, 2001 Experimental observations of an almost symmetric electronic circuit show complicated sequences of bifurcations. These results are discussed in the light of a theory of imperfect global bifurcations. It is shown that much of the dynamics observed in the circuit can be understood by reference to imperfect homoclinic bifurcations without constructing an ...
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Bifurcation and Multiplicity Results for Elliptic Problems with Subcritical Nonlinearity on the Boundary [PDF]
arXiv, 2021 We consider an elliptic problem with nonlinear boundary condition involving nonlinearity with superlinear and subcritical growth at infinity and a bifurcation parameter as a factor. We use re-scaling method, degree theory and continuation theorem to prove that there exists a connected branch of positive solutions bifurcating from infinity when the ...
arxiv
Computational algebra for bifurcation theory
Journal of Symbolic Computation, 2005 AbstractWe provide algorithmic methods for the solution of the classification problem of bifurcations by vanishing and non-vanishing derivatives. These methods come from a generalization of standard bases for modules in local rings. We introduce the necessary theory of bifurcations, provide the algorithmic tools, and show the effectiveness of these ...
Karin Gatermann, Serkan Hosten
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Discrete prey-predator model with fear effect and strong Allee effect
Xi'an Gongcheng Daxue xuebao, 2023 The rich dynamic properties of a discrete prey-predator model with fear effect and strong Allee effect are studied. The piecewise constant argument method of differential equation is used to discretize the system, and the existence of equilibrium point ...
HU Xinli, LI Hanghang
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