Results 41 to 50 of about 1,883 (165)

Effects of a localized beam on the dynamics of excitable cavity solitons [PDF]

, 2008
We study the dynamical behavior of dissipative solitons in an optical cavity filled with a Kerr medium when a localized beam is applied on top of the homogeneous pumping.
Blagorodnova, N., Bue, B. D., Cenko, S. B., Cook, D. O., De Cia, A., Fransson, C., Fremling, C. U., Gal-Yam, A., Gatkine, P., Kasliwal, M. M., Kulkarni, S. R., Leloudas, G., Lunnan, R., Masci, F. J., Nugent, P. E., Nyholm, A., Perley, D. A., Quimby, R. M., Rubin, A., Suzuki, N., Vreeswijk, P. M., Woosley, S. E., Wozniak, P., Yan, Lin   +23 more
core   +5 more sources

Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting

Nonlinear Analysis
This paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability.
Chenyang Huangfu, Zhong Li
doaj   +1 more source

feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models

AIMS Mathematics
Considering the impact of fear levels, Allee effects and hunting cooperation factors on system stability, a Leslie-Gower predator-prey model was formulated.
Weili Kong, Yuanfu Shao
doaj   +1 more source

Control of Integrable Hamiltonian Systems and Degenerate Bifurcations

, 2004
We discuss control of low-dimensional systems which, when uncontrolled, are integrable in the Hamiltonian sense. The controller targets an exact solution of the system in a region where the uncontrolled dynamics has invariant tori.
C. W. Kulp, E. R. Tracy, H. Goldstein, I. Percival, J. Guckenheimer, J. Lega, R. Ortega, S. Wiggins, Y. Li   +8 more
core   +1 more source

Bogdanov-Takens resonance in time-delayed systems [PDF]

, 2017
We analyze the oscillatory dynamics of a time-delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the delay, the response can be greatly enhanced by a very small forcing amplitude.
Coccolo, Mattia, Sanjuán, Miguel A. F., Sanz-Serna, Jesús M., Zhu, BeiBei   +3 more
core   +2 more sources

Bifurcation Analysis of Bogdanov–Takens Bifurcations in Delay Differential Equations

SIAM Journal on Applied Dynamical Systems
128 pages, 39 ...
M. M. Bosschaert, Yu. A. Kuznetsov
openaire   +5 more sources

Bifurcation of an SIRS Model with a Modified Nonlinear Incidence Rate

Mathematics, 2023
An SIRS epidemic model with a modified nonlinear incidence rate is studied, which describes that the infectivity is strong at first as the emergence of a new disease or the reemergence of an old disease, but then the psychological effect will weaken the ...
Yingying Zhang, Chentong Li
doaj   +1 more source

Symmetry-breaking instabilities of convection in squares [PDF]

, 1996
Convection in an infinite fluid layer is often modelled by considering a finite box with periodic boundary conditions in the two horizontal directions. The translational invariance of the problem implies that any solution can be translated horizontally ...
Rucklidge, A.M.
core   +2 more sources

Dynamics of a modified Leslie-Gower predator-prey model with double Allee effects

Mathematical Biosciences and Engineering
In this paper, we investigate the dynamic behavior of a modified Leslie-Gower predator-prey model with the Allee effect on both prey and predator. It is shown that the model has at most two positive equilibria, where one is always a hyperbolic saddle and
Mengyun Xing, Mengxin He, Zhong Li
doaj   +1 more source

Bifurcation analysis in a diffusive phytoplankton–zooplankton model with harvesting

Boundary Value Problems, 2021
A diffusive phytoplankton–zooplankton model with nonlinear harvesting is considered in this paper. Firstly, using the harvesting as the parameter, we get the existence and stability of the positive steady state, and also investigate the existence of ...
Yong Wang
doaj   +1 more source