Results 31 to 40 of about 7,167 (323)
Symmetries in the Lorenz-96 model [PDF]
, 2019 The Lorenz-96 model is widely used as a test model for various applications, such as data assimilation methods. This symmetric model has the forcing $F\in\mathbb{R}$ and the dimension $n\in\mathbb{N}$ as parameters and is $\mathbb{Z}_n$ equivariant.
Sterk, Alef E., van Kekem, Dirk L.
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Imperfect transcritical and pitchfork bifurcations
Journal of Functional Analysis, 2007 AbstractImperfect bifurcation phenomena are formulated in framework of analytical bifurcation theory on Banach spaces. In particular the perturbations of transcritical and pitchfork bifurcations at a simple eigenvalue are examined, and two-parameter unfoldings of singularities are rigorously established.
Yuwen Wang +4 more
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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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Classical bifurcations and entanglement in smooth Hamiltonian system [PDF]
, 2007 We study entanglement in two coupled quartic oscillators. It is shown that the entanglement, as measured by the von Neumann entropy, increases with the classical chaos parameter for generic chaotic eigenstates.
Arul Lakshminarayan +6 more
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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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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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A Multiparameter, Numerical Stability Analysis of a Standing Cantilever Conveying Fluid [PDF]
, 2002 In this paper, we numerically examine the stability of a standing cantilever conveying fluid in a multiparameter space. Based on nonlinear beam theory, our mathematical model turns out to be replete with exciting behavior, some of which was totally ...
Bou-Rabee, Nawaf M. +2 more
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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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