Results 31 to 40 of about 5,272,693 (342)

Hopf bifurcation from a turning point. [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 1985
The classical Hopf bifurcation theorem proves the bifurcation of periodic solutions from a branch of steady states for ODE's (or some types of parabolic PDE's) depending on one real parameter if (i) this branch can be parameterized over this parameter set and (ii) if the dimension of the unstable manifold of the steady states changes at a certain ...
openaire   +2 more sources

Bifurcation Behavior and Hybrid Controller Design of a 2D Lotka–Volterra Commensal Symbiosis System Accompanying Delay

Mathematics, 2023
All the time, differential dynamical models with delay has witness a tremendous application value in characterizing the internal law among diverse biological populations in biology.
Qing Cui, Changjin Xu, Wei-Bo Ou, Yicheng Pang, Zixin Liu, Peiluan Li, Lingyun Yao   +6 more
semanticscholar   +1 more source

Dynamic Behaviors of a Two-Degree-of-Freedom Impact Oscillator with Two-Sided Constraints

Shock and Vibration, 2021
The dynamic model of a vibroimpact system subjected to harmonic excitation with symmetric elastic constraints is investigated with analytical and numerical methods.
Songtao Li, Qunhong Li, Zhongchuan Meng
doaj   +1 more source

Continuation Power Flow Based Distributed Energy Resource Hosting Capacity Estimation Considering Renewable Energy Uncertainty and Stability in Distribution Systems

Energies, 2020
Recently, the demand for electricity has been increasing worldwide. Thus, more attention has been paid to renewable energy. There are acceptable limits during the integration of renewable energy into distribution systems because there are many effects of
Hyun-Tae Kim, Jungju Lee, Myungseok Yoon, Moon-Jeong Lee, Namhun Cho, Sungyun Choi   +5 more
doaj   +1 more source

Tipping points near a delayed saddle node bifurcation with periodic forcing

, 2015
We consider the effect on tipping from an additive periodic forcing in a canonical model with a saddle node bifurcation and a slowly varying bifurcation parameter.
Erneux, Thomas, Kuske, Rachel, Zhu, Jielin   +2 more
core   +1 more source

Time-delayed feedback control for chaotic systems with coexisting attractors

AIMS Mathematics
This study investigated the Hopf bifurcation of the equilibrium point of chaotic systems with coexisting attractors under the time-delayed feedback control.
Erxi Zhu
doaj   +1 more source

Phase-space structure of two-dimensional excitable localized structures [PDF]

, 2007
In this work we characterize in detail the bifurcation leading to an excitable regime mediated by localized structures in a dissipative nonlinear Kerr cavity with a homogeneous pump. Here we show how the route can be understood through a planar dynamical
Adrian Jacobo, C. Sulem, Damià Gomila, E. M. Izhikevich, J. Guckenheimer, J. Rinzel, Manuel A. Matías, O. Thual, P. Glendinning, Pere Colet, S. Wiggins, W. J. Firth, W. J. Firth, W. J. Firth, Y. A. Kuznetsov   +14 more
core   +2 more sources

Development and evaluation of the organization`s logistics strategy based on the application of bifurcation theory

Вестник университета, 2020
The article considers the main approaches to the development and evaluation of the organization’s logistics strategy based on the application of bifurcation theory.
M. Yu. Uchirova, L. A. Ilin, S. V. Khudyakov   +2 more
doaj   +1 more source

Stability Analysis of a Fractional-Order SEIR-KS Computer Virus-Spreading Model with Two Delays

Journal of Mathematics, 2021
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

Scaling in activated escape of underdamped systems

, 2005
Noise-induced escape from a metastable state of a dynamical system is studied close to a saddle-node bifurcation point, but in the region where the system remains underdamped.
A. P. Dmitriev, A. P. Dmitriev, H. Kramers, I. B. Schwartz, J. Guckenheimer, L. D. Landau, M. I. Dykman, M. I. Dykman, M. I. Dykman, M. Shapiro, V. Arnold   +10 more
core   +1 more source