Results 81 to 90 of about 806 (167)
Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps [PDF]
, 2014 We derive simplified normal forms for an area-preserving map in a neighbourhood of a degenerate resonant elliptic fixed point. Such fixed points appear in generic families of area-preserving maps. We also derive a simplified normal form for a generic two-
Gelfreikh, Natalia, Gelfreich, Vassili
core +1 more source
A proof of Perko's conjectures for the Bogdanov-Takens system
, 2021 The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perko's conjectures about some analytic properties of the saddle-loop
Torregrosa, Joan +1 more
core
Bifurcation Analysis of a Generalist Predator-Prey Model with Holling Type II Harvesting
AxiomsIn this paper, we consider a generalist predator–prey model with nonlinear harvesting, which has at most eight non-negative equilibria. We prove that the double positive equilibrium is a cusp of codimension up to 3; therefore, the system exhibits a cusp ...
Mengxin He, Yiqin Wang
doaj +1 more source
Bogdanov-Takens singularity of a neural network model with delay
Electronic Journal of Differential Equations, 2016 In this article, we study Bogdanov-Takens (BT) singularity of a tree-neuron model with time delay. By using the frameworks of Campbell-Yuan [2] and Faria-Magalhaes [4,5], the normal form on the center manifold is derived for this singularity and hence
Xiaoqin P. Wu
doaj
Bogdanov–Takens singularity in the simple memristive time-delay system
, 2019 In this paper, a simple memristive system is considered. We obtain existence of Bogdanov–Takens (B–T) bifurcation at the equilibrium in the 2D memristive time-delay system.
Yongjian Liu +3 more
core +1 more source
Bifurcation Analysis in Models for Vector-Borne Diseases with Logistic Growth
The Scientific World Journal, 2014 We establish and study vector-borne models with logistic and exponential growth of vector and host populations, respectively. We discuss and analyses the existence and stability of equilibria.
Guihua Li, Zhen Jin
doaj +1 more source
Bifurcations of an SIRS model with generalized non-monotone incidence rate
Advances in Difference Equations, 2018 We consider an SIRS epidemic model with a more generalized non-monotone incidence: χ(I)=κIp1+Iq $\chi(I)=\frac{\kappa I^{p}}{1+I^{q}}$ with 01$, by qualitative and bifurcation analyses, we show that the model undergoes a saddle-node bifurcation, a Hopf ...
Jinhui Li, Zhidong Teng
doaj +1 more source
AxiomsA Leslie–Gower predator–prey model with nonlinear harvesting and a generalist predator is considered in this paper. It is shown that the degenerate positive equilibrium of the system is a cusp of codimension up to 4, and the system admits the cusp-type ...
Mengxin He, Zhong Li
doaj +1 more source
A parametrised version of Moser's modifying terms theorem [PDF]
A sharpened version of Moser's `modifying terms' KAM theorem is derived, and it is shown how this theorem can be used to investigate the persistence of invariant tori in general situations, including those where some of the Floquet exponents of the ...
Wagener, F.O.O.
core
Bogdanov-Takens resonance in time-delayed systems
, 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.
Sanz Serna, Jesús María +11 more
core +1 more source