Results 11 to 20 of about 742 (244)
The chaotic mechanisms in some jerk systems
AIMS Mathematics, 2022 In this work, a five-parameter jerk system with one hyperbolic sine nonlinearity is proposed, in which $ \varepsilon $ is a small parameter, and $ a $, $ b $, $ c $, $ d $ are some other parameters.
Xiaoyan Hu, Bo Sang, Ning Wang
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Finite-time nonautonomous bifurcation in impulsive systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The purpose of this article is to investigate nonautonomous bifurcation in impulsive differential equations. The impulsive finite-time analogues of transcritical and pitchfork bifurcation are provided.
Marat Akhmet, Ardak Kashkynbayev
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Advances in Difference Equations, 2019 In this paper, we consider a delayed Hopfield two-neural system with a monotonic activation function and find the periodic coexistence by bifurcation analysis.
Zigen Song +3 more
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Bifurcation analysis of a two-dimensional discrete Hindmarsh–Rose type model
Advances in Difference Equations, 2019 In this paper, bifurcation analysis of a discrete Hindmarsh–Rose model is carried out in the plane. This paper shows that the model undergoes a flip bifurcation, a Neimark–Sacker bifurcation, and 1:2 $1:2$ resonance which includes a pitchfork bifurcation,
Bo Li, Qizhi He
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Imperfect transcritical and pitchfork bifurcations
Journal of Functional Analysis, 2007 Let \(X\) and \(Y\) be Banach spaces, \(F: \mathbb{R} \times X \to Y\) a nonlinear differentiable map. The authors study the bifurcations of solutions for the equation \[ F(\lambda, u) = 0 \] in a neighborhood of a point \((\lambda_0, u_0)\) under the following assumptions: (F1) \(\dim N\left(F_u\left(\lambda_0,u_0\right)\right) = \text{codim}\,R \left(
Liu, Ping, Shi, Junping, Wang, Yuwen
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Nonautonomous transcritical and pitchfork bifurcations in impulsive systems [PDF]
Miskolc Mathematical Notes, 2013 For the first time analogues of nonautonomous transcritical and pitchfork bifurcations are investigated for impulsive systems.
Akhmet, M. U., Kashkynbayev, A.
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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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Mathematical Biosciences and Engineering, 2020 This paper is concerned with how the singularity and delay in a feed forward neural network affect generic dynamics and bifurcations. By computation of Hopf-pitchfork point in a two-parameter nonlinear problem, the mode interactions in two parameters ...
Wenlong Wang, Chunrui Zhang
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Hopf-pitchfork bifurcation of coupled van der Pol oscillator with delay
Nonlinear Analysis, 2017 In this paper, the Hopf-pitchfork bifurcation of coupled van der Pol with delay is studied. The interaction coefficient and time delay are taken as two bifurcation parameters.
Yuting Cai, Chunrui Zhang
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A stochastic pitchfork bifurcation in a reaction-diffusion equation [PDF]
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001 We study in some detail the structure of the random attractor for the Chafee{Infante reaction{di¬usion equation perturbed by a multiplicative white noise, du = (¢u + u ¡ u3) dt + ¼ u ¯ dWt; x 2 D » Rm: First we prove, for m 65, a lower bound on the dimension of the random attractor, which is of the same order in as the upper ...
Caraballo Garrido, Tomás +2 more
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