Results 21 to 30 of about 2,177 (166)

Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model

Alexandria Engineering Journal, 2022
In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan, S.A.H. Bukhari, M.B. Almatrafi   +2 more
doaj   +1 more source

Bifurcation analysis of a two-dimensional discrete Hindmarsh–Rose type model

Advances in Difference Equations, 2019
In this paper, bifurcation analysis of a discrete Hindmarsh–Rose model is carried out in the plane. This paper shows that the model undergoes a flip bifurcation, a Neimark–Sacker bifurcation, and 1:2 $1:2$ resonance which includes a pitchfork bifurcation,
Bo Li, Qizhi He
doaj   +1 more source

Synchronous motion of two vertically excited planar elastic pendula [PDF]

, 2012
The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and anti-phase synchronous ...
Anicin, Bajaj, Balthazar, Breitenberger, Carretero-Gonzalez, Cartmell, Cayton, Chudzik, Cuerno, Czolczynski, Davidovic, Hatwal, Hatwal, Hatwal, Holm, Kuznetsov, Kuznetsov, Lai, Lynch, Lynch, Lynch, M. Kapitaniak, Maistrenko, Miles, Nunez-Yepez, Olsson, P. Perlikowski, Perlikowski, Perlikowski, Pokorny, Rusbridge, Sado, Song, Stefanski, Stefanski, T. Kapitaniak, Vazquez-Gonzalez, Vitt, Warminski, Warminski, Warminski   +40 more
core   +2 more sources

Numerical periodic normalization for codim 2 bifurcations of limit cycles : computational formulas, numerical implementation, and examples [PDF]

, 2013
Explicit computational formulas for the coefficients of the periodic normal forms for codimension 2 (codim 2) bifurcations of limit cycles in generic autonomous ODEs are derived.
De Witte, Virginie, Della Rossa, Fabio, Govaerts, Willy, Kuznetsov, Yuri A   +3 more
core   +1 more source

Numerical bifurcation and hybrid control of a Gompertz model with time delay

Journal of Hebei University of Science and Technology, 2019
In order to study the stability of species, the biological systems are required to reduce or expand the stable region. For a Gompertz model with time delay, a hybrid control Euler method is proposed in which state feedback and parameter perturbation are ...
Jizhi SONG, Yuanyuan WANG
doaj   +1 more source

Complex Dynamics on the Routes to Chaos in a Discrete Predator-Prey System with Crowley-Martin Type Functional Response

Discrete Dynamics in Nature and Society, 2018
We present in this paper an investigation on a discrete predator-prey system with Crowley-Martin type functional response to know its complex dynamics on the routes to chaos which are induced by bifurcations.
Huayong Zhang, Shengnan Ma, Tousheng Huang, Xuebing Cong, Zichun Gao, Feifan Zhang   +5 more
doaj   +1 more source

Coupled Effects of Turing and Neimark-Sacker Bifurcations on Vegetation Pattern Self-Organization in a Discrete Vegetation-Sand Model

Entropy, 2017
Wind-induced vegetation patterns were proposed a long time ago but only recently a dynamic vegetation-sand relationship has been established. In this research, we transformed the continuous vegetation-sand model into a discrete model.
Feifan Zhang, Huayong Zhang, Tousheng Huang, Tianxiang Meng, Shengnan Ma   +4 more
doaj   +1 more source

Computation of periodic solution bifurcations in ODEs using bordered systems [PDF]

, 2002
We consider numerical methods for the computation and continuation of the three generic secondary periodic solution bifurcations in autonomous ODEs, namely the fold, the period-doubling (or flip) bifurcation, and the torus (or Neimark–Sacker) bifurcation.
Doedel, E. J., Govaerts, W., Kuznetsov, Yu. A.   +2 more
core   +2 more sources

Neimark-Sacker Bifurcation in a Discrete-Time Financial System

Discrete Dynamics in Nature and Society, 2010
A discrete-time financial system is proposed by using forward Euler scheme. Based on explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal form method and center manifold theory, the system's existence, stability ...
Baogui Xin, Tong Chen, Junhai Ma
doaj   +1 more source

Bifurcation Analysis for a Two-Dimensional Discrete-Time Hopfield Neural Network with Delays

International Journal of Mathematics and Mathematical Sciences, 2007
A bifurcation analysis is undertaken for a discrete-time Hopfield neural network with four delays. Conditions ensuring the asymptotic stability of the null solution are obtained with respect to two parameters of the system.
Yaping Ren, Yongkun Li
doaj   +1 more source