Results 31 to 40 of about 178,428 (365)
Cluster Oscillation of a Fractional-Order Duffing System with Slow Variable Parameter Excitation
Fractal and Fractional, 2022 The complicated dynamic behavior of a fractional-order Duffing system with slow variable parameter excitation is investigated. The stability and bifurcation behavior of the fast subsystem are analyzed by using the dynamic theory of fractional-order ...
Xianghong Li, Yanli Wang, Yongjun Shen
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Hopf-pitchfork bifurcation in van der Pol's oscillator with nonlinear delayed feedback
, 2010 Hongbin Wang, Weihua Jiang
semanticscholar +2 more sources
Exploring the mechanisms of differentiation, dedifferentiation, reprogramming and transdifferentiation. [PDF]
PLoS ONE, 2014 We explored the underlying mechanisms of differentiation, dedifferentiation, reprogramming and transdifferentiation (cell type switchings) from landscape and flux perspectives.
Li Xu, Kun Zhang, Jin 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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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
core +3 more sources
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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Bifurcation Theory for SPDEs: Finite-time Lyapunov Exponents and Amplitude Equations [PDF]
SIAM Journal on Applied Dynamical Systems, 2023 We consider a stochastic partial differential equation close to bifurcation of pitchfork type, where a one-dimensional space changes its stability. For finite-time Lyapunov exponents we characterize regions depending on the distance from bifurcation and ...
D. Blömker, Alexandra Neamţu
semanticscholar +1 more source
Coalescence of limit cycles in the presence of noise [PDF]
, 2023 Complex dynamical systems may exhibit multiple steady states, including time-periodic limit cycles, where the final trajectory depends on initial conditions. With tuning of parameters, limit cycles can proliferate or merge at an exceptional point. Here we ask how dynamics in the vicinity of such a bifurcation are influenced by noise.
arxiv +1 more source