Hopf bifurcation analysis of scalar implicit neutral delay differential equation
نویسندگان
چکیده
منابع مشابه
Subcritical Hopf bifurcation in dynamical systems described by a scalar nonlinear delay differential equation.
A subcritical Hopf bifurcation in a dynamical system modeled by a scalar nonlinear delay differential equation is studied theoretically and experimentally. The subcritical Hopf bifurcation leads to a significant domain of bistability where stable steady and time-periodic states coexist.
متن کاملBifurcation analysis in a neutral differential equation
Article history: Received 30 October 2009 Available online 2 February 2011 Submitted by J.J. Nieto
متن کاملStability and Hopf Bifurcation Analysis of the Delay Logistic Equation
Logistic functions are good models of biological population growth. They are also popular in marketing in modelling demand-supply curves and in a different context, to chart the sales of new products over time. Delays being inherent in any biological system, we seek to analyse the effect of delays on the growth of populations governed by the logistic equation. In this paper, the local stability...
متن کاملBifurcation Analysis in a Two-Dimensional Neutral Differential Equation
and Applied Analysis 3 In the following, we will investigate the stability of (c, 0), (0, c ± ), and (c, c). Firstly, we consider the stability of (c, 0) when a > μ. (It has similar results with (c, 0) and (0, c).) The characteristic equation of linearization of (1) at (c, 0) is Δ (c + ,0) (λ) = (λ + μ − ae −λτ
متن کاملDelayed feedback control of a delay equation at Hopf bifurcation
We embark on a case study for the scalar delay equation ẋ(t) = λf(x(t− 1)) + b−1(x(t− θ) + x(t− θ− p/2)) with odd nonlinearity f , real nonzero parameters λ, b, and three positive time delays 1, θ, p/2. We assume supercritical Hopf bifurcation from x ≡ 0 in the well-understood single-delay case b = ∞. Normalizing f ′(0) = 1, branches of constant minimal period pk = 2π/ωk are known to bifurcate ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2018
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2018.1.62