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Unilateral Global Interval Bifurcation for the Hessian Equation and Its Applications [PDF]
Discrete Dynamics in Nature and Society, 2020 In this paper, we establish a unilateral global bifurcation result from the interval for the k-Hessian equations with nondifferentiable nonlinearity. By applying the above result, we shall prove the existence of the principal half-eigenvalues for the ...
Wenguo Shen
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Global bifurcation from intervals for Sturm-Liouville problems which are not linearizable
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we study unilateral global bifurcation which bifurcates from the trivial solutions axis or from infinity for nonlinear Sturm--Liouville problems of the form \begin{equation} \left\{ \begin{array}{l} -\left(pu'\right)'+qu=\lambda au+af\left(
Guowei Dai
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Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we consider bifurcation from zero or infinity of nontrivial solutions of the nonlinear Sturm–Liouville problem with indefinite weight. This problem is mainly important because of it is related with a selection-migration model in genetic ...
Ziyatkhan Aliyev, Leyla Nasirova
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Dynamical aspects of a delayed SEI2RS malware dissemination model in cyber–physical systems
Results in Physics, 2022 In current paper, a delayed SEI2RS malware dissemination model in cyber–physical systems is proposed. Effect of the time delay owning to temporary immunity interval of the recovered nodes is analyzed.
Xiaodong Yu, Aying Wan
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Plastic and Reconstructive Surgery, Global Open, 2023 Background:. Facial filler injection techniques that help decrease the risk of vascular occlusion are an important growing area of study. This study demonstrates a model of injecting fillers into a simulated bifurcated arterial system, using different ...
Gabriel Scott, MD +6 more
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An Effective Algorithm for the Stability and Bifurcation in a DDE Model of Gene Expression
Applied Sciences, 2023 The stability and Hopf bifurcation of gene expression models with a mechanism of delayed state feedback are considered. An effective algorithm for the calculations on the delay stable interval of the equilibrium point, the direction, and stability of the
Chao Fu, Lei Zhang, Hong Yu
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Mathematics, 2022 A Galerkin/POD reduced-order model from eigenfunctions of non-converged time evolution transitory states in a problem of Rayleigh–Bénard is presented. The problem is modeled in a rectangular box with the incompressible momentum equations coupled with an ...
Jesús Cortés +2 more
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The bifurcation of homoclinic orbits of maps of the interval [PDF]
Ergodic Theory and Dynamical Systems, 1982 AbstractRelationships involving homoclinic orbits of various periods and the Sarkovskii stratification are given and corresponding bifurcation properties are derived. It is shown that if a continuous map has one homoclinic periodic orbit, it has infinitely many.
Block, Louis, Hart, David
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A codimension-2 bifurcation controlling endogenous bursting activity and pulse-triggered responses of a neuron model. [PDF]
PLoS ONE, 2014 The dynamics of individual neurons are crucial for producing functional activity in neuronal networks. An open question is how temporal characteristics can be controlled in bursting activity and in transient neuronal responses to synaptic input ...
William H Barnett, Gennady S Cymbalyuk
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A Chaotic Circuit With Hidden Attractors and Extreme Event
IEEE Access, 2022 Here, a chaotic quadratic system is presented. The chaotic attractor of the oscillator is studied. It has a stable equilibrium point for most of the studied interval of its parameter. So, its chaotic attractor in that interval is hidden.
Rending Lu +4 more
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