Results 21 to 30 of about 1,852 (142)
Oscillations in three-reaction quadratic mass-action systems. [PDF]
Stud Appl MathAbstract It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a view to understanding which small mass‐action systems admit oscillation, in this paper we study rank‐two networks with bimolecular source complexes but allow target complexes with higher molecularities.
Banaji M, Boros B, Hofbauer J.
europepmc +2 more sources
Takens-Bogdanov bifurcation of travelling wave solutions in pipe flow [PDF]
, 2010 The appearance of travelling-wave-type solutions in pipe Poiseuille flow that are disconnected from the basic parabolic profile is numerically studied in detail.
B. ECKHARDT +6 more
core +5 more sources
Complexity, Volume 2021, Issue 1, 2021., 2021 The complex bursting oscillation and bifurcation mechanisms in coupling systems of different scales have been a hot spot domestically and overseas. In this paper, we analyze the bursting oscillation of a generalized Duffing–Van der Pol system with periodic excitation.
Youhua Qian +3 more
wiley +1 more source
Global bifurcations in the Takens-Bogdanov normal form with D_4 symmetry near the O(2) limit [PDF]
, 2001 The dynamics of the normal form of the Takens-Bogdanov bifurcation with D_4 symmetry is governed by a one-dimensional map near the gluing bifurcation and near the O(2) integrable limit, rather than the three-dimensional map one would expect.
Rucklidge, A.M.
core +1 more source
Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
Complexity, 2020 An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf ...
Ding Fang, Yongxin Zhang, Wendi Wang
doaj +1 more source
Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system [PDF]
, 2019 This manuscript extends the analysis of a much studied singularly perturbed three-component reaction-diffusion system for front dynamics in the regime where the essential spectrum is close to the origin.
Chirilus-Bruckner, Martina +3 more
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Dynamic analysis of a Leslie-Gower predator-prey model with the fear effect and nonlinear harvesting
Mathematical Biosciences and Engineering, 2023 In this paper, we investigate the stability and bifurcation of a Leslie-Gower predator-prey model with a fear effect and nonlinear harvesting. We discuss the existence and stability of equilibria, and show that the unique equilibrium is a cusp of ...
Hongqiuxue Wu, Zhong Li, Mengxin He
doaj +1 more source
Some results on homoclinic and heteroclinic connections in planar systems [PDF]
, 2009 Consider a family of planar systems depending on two parameters $(n,b)$ and having at most one limit cycle. Assume that the limit cycle disappears at some homoclinic (or heteroclinic) connection when $\Phi(n,b)=0.$ We present a method that allows to ...
Andronov A A +12 more
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Qualitative analysis of a model for co-culture of bacteria and amoebae
Mathematical Biosciences and Engineering, 2012 In this article we analyze a mathematical model presented in[11]. The model consists of two scalar ordinarydifferential equations, which describe the interaction betweenbacteria and amoebae.
Laura Fumanelli +3 more
doaj +1 more source
A Viral Infection Model with a Nonlinear Infection Rate
Boundary Value Problems, 2009 A viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium.
Yumei Yu +3 more
doaj +2 more sources