Results 31 to 40 of about 170,965 (333)
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
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
doaj +1 more source
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
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.
core +2 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
doaj +1 more source
Multi-agent decision-making dynamics inspired by honeybees [PDF]
, 2018 When choosing between candidate nest sites, a honeybee swarm reliably chooses the most valuable site and even when faced with the choice between near-equal value sites, it makes highly efficient decisions.
Franci, Alessio +3 more
core +1 more source
Slow Passage Through a Pitchfork Bifurcation [PDF]
SIAM Journal on Applied Mathematics, 1996 Summary: This paper deals with a class of second-order differential equations with a slowly varying bifurcation parameter. The parameter slowly varies through a critical value corresponding to a transition from a stable equilibrium to one of the two stable branches of an intersecting parabolic curve.
openaire +2 more sources
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.
openaire +4 more sources
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
doaj +1 more source