Effect of immigration in a predator-prey system: Stability, bifurcation and chaos
AIMS Mathematics, 2022 In the present manuscript, a discrete-time predator-prey system with prey immigration is considered. The existence of the possible fixed points of the system and topological classification of coexistence fixed point are analyzed.
Figen Kangalgil, Seval Isșık
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Small aspect ratio Taylor-Couette flow: onset of a very-low-frequency three-torus state [PDF]
, 2003 The nonlinear dynamics of Taylor-Couette flow in a small aspect ratio annulus (where the length of the cylinders is half of the annular gap between them) is investigated by numerically solving the full three-dimensional Navier-Stokes equations.
López Moscat, Juan Manuel +1 more
core +2 more sources
Numerical detection of synchronization phenomena in quasi‐periodic solutions
PAMM, Volume 23, Issue 3, November 2023., 2023 Abstract In science and technology, dynamical systems can show so‐called quasi‐periodic solutions. These solutions are composed of two or more base frequencies. The solution in the time domain can be represented by an invariant manifold. To parametrize the invariant manifold, we choose the hyper‐time parametrization.
Alexander Seifert +2 more
wiley +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
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Discrete Leslie's model with bifurcations and control
AIMS Mathematics, 2023 We explored a local stability analysis at fixed points, bifurcations, and a control in a discrete Leslie's prey-predator model in the interior of $ \mathbb{R}_+^2 $.
A. Q. Khan, Ibraheem M. Alsulami
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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
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Bifurcation analysis in a discrete predator–prey model with herd behaviour and group defense
Electronic Research Archive, 2023 In this paper, we utilize the semi-discretization method to construct a discrete model from a continuous predator-prey model with herd behaviour and group defense.
Jie Xia, Xianyi Li
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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. +2 more
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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 +2 more
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 +40 more
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