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Spatiotemporal Dynamics in Reaction-Diffusion Neural Networks Near a Turing-Hopf Bifurcation Point

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2019
Since the electromagnetic field of neural networks is heterogeneous, the diffusion phenomenon of electrons exists inevitably. In this paper, we investigate the existence of Turing–Hopf bifurcation in a reaction–diffusion neural network.
Jiazhe Lin, R. Xu, Xiaohong Tian
semanticscholar   +1 more source

Input-output system identification of a thermoacoustic oscillator near a Hopf bifurcation using only fixed-point data.

Physical Review E, 2020
We present a framework for performing input-output system identification near a Hopf bifurcation using data from only the fixed-point branch, prior to the Hopf point itself.
Minwoo Lee   +3 more
semanticscholar   +1 more source

Mathematical study on bifurcation dynamics and control mechanism of tri‐neuron bidirectional associative memory neural networks including delay

Mathematical methods in the applied sciences, 2023
Applying delayed dynamical models to characterize the dynamics of neural networks has attracted great interest from scientific community. In this current manuscript, a kind of new tri‐neuron bidirectional associative memory (BAM) neural networks ...
Wei-Bo Ou   +7 more
semanticscholar   +1 more source

Bifurcation Points of Carbon Regulation

World of Transport and Transportation, 2023
There are 1800 climate change laws around the world. In recent years, the rapid increase in carbon emissions has caused global warming and climate pollution, causing serious harm to social development and human health. Reducing carbon emissions is getting a lot of attention.
B. A. Lyovin   +3 more
openaire   +1 more source

Bifurcation points and asymptotic bifurcation points of nonlinear operators in M-PN spaces

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Qiuying, Zhu, Chuanxi, Wang, Sanhua
openaire   +1 more source

Investigating Bifurcation Points of Complex Network Synchronization

International Journal of Bifurcation and Chaos, 2022
This paper investigates the relationship between synchronization, system dynamics, and bifurcation points. To investigate the synchronization of dynamical systems, first, two oscillators are considered. Then networks with different structures are generated.
Karimi Rahjerdi, Bahareh   +5 more
openaire   +1 more source

Bifurcation points of Hammerstein equations

Integral Equations and Operator Theory, 1993
We apply global bifurcation theorems to systems of nonlinear integral equations of Hammerstein type involving a scalar parameter. To this end, we give sufficient conditions for the continuous dependence, compactness, Fréchet differentiability, and asymptotic linearity of the corresponding operators, which are more general than in the classical setting.
Appell, Jürgen, Zabrejko, Petr P.
openaire   +2 more sources

Bifurcations and Switch Points

SSRN Electronic Journal, 2017
This article analyzes structural instabilities, in a model of prices of production, associated with variations in coefficients of production, in industrial organization, and in the steady-state rate of growth. Numerical examples are provided, with illustrations, demonstrating that technological improvements or the creation of differential rates of ...
openaire   +1 more source

Hidden Bursting Firings and Bifurcation Mechanisms in Memristive Neuron Model With Threshold Electromagnetic Induction

IEEE Transactions on Neural Networks and Learning Systems, 2020
Memristors can be employed to mimic biological neural synapses or to describe electromagnetic induction effects. To exhibit the threshold effect of electromagnetic induction, this paper presents a threshold flux-controlled memristor and examines its ...
H. Bao, Aihuang Hu, Wenbo Liu, B. Bao
semanticscholar   +1 more source

Double singularity-induced bifurcation points and singular Hopf bifurcations

Dynamics and Stability of Systems, 2000
The singularity-induced bifurcation and singular Hopf bifurcation theorems and the degeneracies that arise when Newton's laws are coupled to Kirchhoff's laws are explored. Such models are used in the electrical engineering literature to describe electrical power systems and they can take the form of either an index-1 differential-algebraic equation ...
openaire   +1 more source

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