Results 31 to 40 of about 1,893 (192)
Complexity, Volume 2022, Issue 1, 2022., 2022 In this paper, we put forward a time‐delay ecological competition system with food restriction and diffusion terms under Neumann boundary conditions. For the case without delay, the conditions for local asymptotic stability and Turing instability are constructed.
Feilong Wang +6 more
wiley +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
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
Slow–fast Bogdanov–Takens bifurcations
Journal of Differential Equations, 2011 The paper deals with smooth families of slow-fast systems that represent a very general class of singular perturbation problems near a turning point. The authors introduce the notion of slow-fast Bogdanov-Takens bifurcation and provide a complete study of the perturbations from planar vector fields having a line of zeros, representing the singular ...
De Maesschalck, P., Dumortier, F.
openaire +2 more sources
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In the present paper, the SIR model with nonlinear recovery and Monod type equation as incidence rates is proposed and analyzed. The expression for basic reproduction number is obtained which plays a main role in the stability of disease‐free and endemic equilibria.
Ihsan Ullah Khan +4 more
wiley +1 more source
Bogdanov-Takens resonance in time-delayed systems [PDF]
, 2017 We analyze the oscillatory dynamics of a time-delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the delay, the response can be greatly enhanced by a very small forcing amplitude.
Coccolo, Mattia +3 more
core +2 more sources
Hopf bifurcations for an oversteer vehicle – the influence of wheel load changes
Proceedings in Applied Mathematics and Mechanics, Volume 21, Issue 1, December 2021., 2021 Abstract In [1] the occurence of a Hopf bifurcation at steady‐state cornering for a two‐wheel oversteering vehicle with a brush model for the tyre forces was found and following the bifurcating branch of periodic solutions we observed a Canard phenomenon and relaxation oscillations, which are typical for singularly perturbed systems. In that article we
Alois Steindl +2 more
wiley +1 more source
Bifurcation of an SIRS Model with a Modified Nonlinear Incidence Rate
Mathematics, 2023 An SIRS epidemic model with a modified nonlinear incidence rate is studied, which describes that the infectivity is strong at first as the emergence of a new disease or the reemergence of an old disease, but then the psychological effect will weaken the ...
Yingying Zhang, Chentong Li
doaj +1 more source
Operational Parameter Study of Aircraft Dynamics on the Ground [PDF]
, 2009 The dynamics of passenger aircraft on the ground are influenced by the nonlinear characteristics of several components, including geometric nonlinearities, the aerody- namics and interactions at the tyre-ground interface.
Coetzee, Etienne B +3 more
core +2 more sources
Effects of a localized beam on the dynamics of excitable cavity solitons [PDF]
, 2008 We study the dynamical behavior of dissipative solitons in an optical cavity filled with a Kerr medium when a localized beam is applied on top of the homogeneous pumping.
Adrian Jacobo +12 more
core +7 more sources