Results 31 to 40 of about 2,227 (204)

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
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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

Neimark–Sacker bifurcation of a chemotherapy treatment of glioblastoma multiform (GBM) [PDF]

Advances in Difference Equations, 2019
Abstract In this paper, we propose a system of differential equations with piecewise constant arguments to describe the growth of GBM under chemotherapeutic treatment and the interaction among the glial cells, the cancer cells, and the chemotherapeutic agents. In this work, the cancer cells are considered as two populations: the sensitive
Bozkurt Yousef, Fatma, Yousef, Ali
openaire   +4 more sources

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

Period-doubling and Neimark–Sacker bifurcations of plant–herbivore models [PDF]

Advances in Difference Equations, 2019
The interaction between plants and herbivores plays a vital role for understanding community dynamics and ecosystem function given that they are the critical link between primary production and food webs. This paper deals with the qualitative nature of two discrete-time plant–herbivore models. In both discrete-time models, function for plant-limitation
E. M. Elsayed, Qamar Din
openaire   +2 more sources

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

On the Neimark–Sacker bifurcation in a discrete predator–prey system [PDF]

Journal of Biological Dynamics, 2010
A two-parameter family of discrete models describing a predator-prey interaction is considered, which generalizes a model discussed by Murray, and originally due to Nicholson and Bailey, consisting of two coupled nonlinear difference equations. In contrast to the original case treated by Murray, where the two populations either die out or may display ...
A N W, Hone, M V, Irle, G W, Thurura
openaire   +2 more sources