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Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model
Chaos, Solitons and Fractals, 2021In this article multiple and generic bifurcations of planar discrete-time Hindmarsh-Rose oscillator are investigated in detail by bifurcation theory and numerical continuation techniques.
, Qizhi He, Houjun Liang
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Novel bifurcation results for a delayed fractional-order quaternion-valued neural network
Neural Networks, 2019This paper reports the innovative results on the stability and bifurcation for a delayed fractional-order quaternion-valued neural network(FOQVNN). Delay-stimulated bifurcation criteria of the developed FOQVNN are attained. Then, the bifurcation diagrams
Qiankun Song +2 more
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Novel bifurcation solitons for an extended Kadomtsev–Petviashvili equation in fluids
Physics Letters, Section A: General, Atomic and Solid State Physics, 2021Bang-Qing Li +2 more
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Stability and Bifurcation in a Leslie-Gower Predator-Prey Model with Allee Effect
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2022In this paper, we consider a Leslie–Gower predator–prey model with Allee effect on the prey and a linear functional response. Here the Allee effect impacts the birth rate of the prey, which is different from the common multiplicative and additive Allee ...
Zhenliang Zhu +3 more
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Mathematics and Computers in Simulation, 2021
The stability and Hopf bifurcation have important effect on the design of neural networks. By revealing the effect of parameters on the stability and Hopf bifurcation of neural networks, we can better apply neural networks to serve humanity. This article
Changjin Xu +5 more
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The stability and Hopf bifurcation have important effect on the design of neural networks. By revealing the effect of parameters on the stability and Hopf bifurcation of neural networks, we can better apply neural networks to serve humanity. This article
Changjin Xu +5 more
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SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION
International Journal of Bifurcation and Chaos, 2008A generic stationary instability that arises in quasi-reversible systems is studied. It is characterized by the confluence of three eigenvalues at the origin of complex plane with only one eigenfunction. We characterize the dynamics through the normal form that exhibits in particular, Shilnikov chaos, for which we give an analytical prediction.
Marcel G. Clerc +2 more
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Journal of Statistical Physics, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meunier, C., Verga, A. D.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meunier, C., Verga, A. D.
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International Journal of Bifurcation and Chaos, 1998
Oscillations described by autonomous three-dimensional differential equation systems display multiple periodicities and chaos at critical parameter values. Regardless of the subsequent scenario, the key instability is usually an initial bifurcation from a single period oscillation to its subharmonic of period two, or the reverse.
Phillipson, Paul E., Schuster, Peter
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Oscillations described by autonomous three-dimensional differential equation systems display multiple periodicities and chaos at critical parameter values. Regardless of the subsequent scenario, the key instability is usually an initial bifurcation from a single period oscillation to its subharmonic of period two, or the reverse.
Phillipson, Paul E., Schuster, Peter
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SIAM Journal on Applied Mathematics, 1986
The paper is concerned with the study of an integro-differential equation of the type: \[ u_ t=\int^{t}_{-\infty}K(t,s) u_{xx}(x,s) ds+Ru- u^ 3 \] with boundary conditions \(u=0\) for \(x=0\), where the kernel K is of Maxwell or Jeffrey type depending thus on one or more parameters, and R is a parameter that corresponds to the Rayleigh number.
Olmstead, W. E. +3 more
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The paper is concerned with the study of an integro-differential equation of the type: \[ u_ t=\int^{t}_{-\infty}K(t,s) u_{xx}(x,s) ds+Ru- u^ 3 \] with boundary conditions \(u=0\) for \(x=0\), where the kernel K is of Maxwell or Jeffrey type depending thus on one or more parameters, and R is a parameter that corresponds to the Rayleigh number.
Olmstead, W. E. +3 more
openaire +1 more source