Results 41 to 50 of about 90,692 (222)
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
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Neimark–Sacker bifurcation for the discrete-delay Kaldor model [PDF]
Chaos, Solitons & Fractals, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dobrescu, Loretti Isabella +1 more
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Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 In this study, the dynamical behaviors of a prey–predator model with multiple strong Allee effect are investigated. The fixed points of the model are examined for existence and topological classification. By selecting as the bifurcation parameter $\beta$,
Deniz Elmacı, Figen Kangalgil
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Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]
, 2009 The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM +3 more
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Discretization analysis of bifurcation based nonlinear amplifiers [PDF]
Advances in Radio Science, 2017 Recently, for modeling biological amplification processes, nonlinear amplifiers based on the supercritical Andronov–Hopf bifurcation have been widely analyzed analytically.
S. Feldkord, M. Reit, W. Mathis
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Journal of Physics: Conference Series, 2008 The coefficients of the simplest normal forms of both high-dimensional Neimark-Sacker and generalized Neimark-Sacker bifurcation systems were discussed. On the basis of the simplest normal form theory, using appropriate nonlinear transformations, direct computation and the second complete induction, the central manifold equations were further reduced ...
Q-C Zhang, R-L Tian
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Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations [PDF]
, 2005 Our purpose is to present some applications of the bifurcation formulae derived in [13] for periodic delay differential equations. We prove that a sequence of Neimark-Sacker bifurcations occurs as the parameter increases.
Röst, Gergely
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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 +5 more
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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
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Miskolc Mathematical Notes, 2021 . This paper deals with the dynamic behavior of a prey predator model obtained by the forward Euler method. We investigate the complex dynamics of discrete-time prey-predator system related to predator population which is subject to the effects of ...
Özlem Ak Gümüş, Michal Feckan
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