Results 111 to 120 of about 228,096 (272)

Dynamics at Infinity, Degenerate Hopf and Zero-Hopf Bifurcation for Kingni-Jafari System with Hidden Attractors

open access: yesInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2016
To understand the complex dynamics of Kingni–Jafari system with hidden attractors, the first objective of this paper is to study the global dynamics, and give a complete description of the dynamics of Kingni–Jafari system at infinity by using the ...
Zhouchao Wei   +4 more
semanticscholar   +1 more source

Coupling Stability and Multi‐Frequency Transient Characteristics of a Variable Speed Pumped Storage Power Station Under Generating Mode

open access: yesEnergy Science &Engineering, Volume 13, Issue 6, Page 3307-3327, June 2025.
ABSTRACT Coupling stability and multi‐frequency transient characteristics of variable speed pumped storage power station (VSPSPS) under generating mode are main topics of this paper. Firstly, the overall model of VSPSPS is established and the coupling stability analysis of VSPSPS is carried out. Then, multi‐frequency transient characteristics of VSPSPS
Rui Cao, Wencheng Guo
wiley   +1 more source

Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays

open access: yesAbstract and Applied Analysis, 2013
This paper is concerned with a computer virus model with two delays. Its dynamics are studied in terms of local stability and Hopf bifurcation. Sufficient conditions for local stability of the positive equilibrium and existence of the local Hopf ...
Zizhen Zhang, Huizhong Yang
doaj   +1 more source

Time‐Multiplexed Reservoir Computing with Quantum‐Dot Lasers: Impact of Charge‐Carrier Scattering Timescale

open access: yesphysica status solidi (RRL) – Rapid Research Letters, Volume 19, Issue 6, June 2025.
Reservoir computing with optical devices offers an energy‐efficient approach for time‐series forecasting. For quantum‐dot lasers with optical self‐feedback, the scattering timescale R into the quantum‐dot levels changes the predictive performance of the reservoir computer.
Huifang Dong   +2 more
wiley   +1 more source

The Hopf Bifurcation and Its Applications

open access: yes, 1976
The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.
J. Marsden   +3 more
semanticscholar   +1 more source

Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds

open access: yesStudies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
wiley   +1 more source

Hopf bifurcation analysis in a fractional-order survival red blood cells model and PD α $\mathit{PD}^{\alpha} $ control

open access: yesAdvances in Difference Equations, 2018
In this paper, we put forward a fractional-order survival red blood cells model and study the dynamics through the Hopf bifurcation. When the delay transcends the threshold, a series of Hopf bifurcations occur at the positive equilibrium.
Qingshan Sun   +6 more
doaj   +1 more source

Hopf Bifurcation and Global Periodic Solutions in a Predator-Prey System with Michaelis-Menten Type Functional Response and Two Delays

open access: yesAbstract and Applied Analysis, 2014
We consider a predator-prey system with Michaelis-Menten type functional response and two delays. We focus on the case with two unequal and non-zero delays present in the model, study the local stability of the equilibria and the existence of Hopf ...
Yunxian Dai, Yiping Lin, Huitao Zhao
doaj   +1 more source

Permanence and Hopf bifurcation of a delayed eco-epidemic model with Leslie–Gower Holling type III functional response

open access: yesSystems Science & Control Engineering, 2019
This paper is concerned with a delayed eco-epidemic model with a Leslie–Gower Holling type III functional response. The main results are given in terms of permanence and Hopf bifurcation.
Zi Zhen Zhang   +3 more
doaj   +1 more source

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