Stability Analysis of a Fractional-Order SEIR-KS Computer Virus-Spreading Model with Two Delays
In this paper, the stability and Hopf bifurcation of a fractional-order model of the Susceptible-Exposed-Infected-Kill Signals Recovered (SEIR-KS) computer virus with two delays are studied.
Zhufeng Wang, Xiaoqian Nie, Maoxin Liao
doaj +1 more source
Hopf bifurcation analysis of Sel’kov model with time delay
The Sel’kov model with time-delay diffusion under homogeneous Neumann boundary conditions is considered. Firstly, the local asymptotically stability of the positive equilibrium point of the model is obtained by using spectral theory.
MA Yani, YUAN Hailong, WANG Yadi
doaj +1 more source
Impedance Spectroscopy of Bifurcation Oscillations in S‐Type Self‐Oscillatory Devices
Impedance spectroscopy (IS) reveals stability regimes and bifurcation dynamics in S‐type self‐oscillatory devices. By linking nonlinear control theory with frequency‐domain measurements, experimental signatures of oscillations, entrainment, and phase locking are directly identified.
Gonzalo Rivera‐Sierra +5 more
wiley +1 more source
Multimode Phonon Lasing via Self‐Induced Optical Coherent Pumping
A silicon optomechanical nanobeam generates self‐sustained phonon lasing in multiple competing mechanical modes via self‐pulsing, an intrinsic optical modulation arising from cavity nonlinearity. This self‐organized mechanism enables robust multi‐frequency operation spanning periodic, quasi‐periodic, and chaotic regimes without external modulation. The
David Alonso Tomás +5 more
wiley +1 more source
一类时滞计算机网络病毒模型的动力学行为(Dynamics of an epidemic model of computer virus with delays)
An SLBRS computer virus model with two delays is considered. Local stability and local Hopf bifurcation of this model are investigated. Sufficient conditions for local stability and the existence of local Hopf bifurcation are obtained by regarding ...
ZHANGZizhen(张子振)
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Physical Realizable Circuit Structure For Adaptive Frequency Hopf Oscillator [PDF]
This paper presents a novel structure for the adaptive frequency Hopf oscillator where the nonlinear function is modified to make the system realizable using analog circuit components.
Ahmadi, Arash +7 more
core +1 more source
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations
Evolutionary game dynamics is an important research, which is widely used in many fields such as social networks, biological systems, and cooperative behaviors.
Wenjun Hu, Haiyan Tian, Gang Zhang
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Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate
In this paper, dynamical behaviors including stability and Hopf bifurcation of a delayed SIR epidemic model with convex incidence rate are examined. We first discuss the existence of Hopf bifurcation.
Haojie Yang +4 more
doaj +1 more source
Hopf Bifurcation in the presence of symmetry [PDF]
This note announces a Hopf-bifurcation theorem for ordinary differential equations invariant under the action of a compact symmetry group. Various applications are sketched and references to previous more special results of other authors are given. Detailed proofs and further results are to appear in a paper with the same title (in Arch. Ration.
Golubitsky, Martin, Stewart, Ian
openaire +5 more sources

