Results 41 to 50 of about 228,096 (272)
Advances in Differential Equations, 2019 In this paper, we study a stage-structured predator–prey model incorporating refuge for prey and additional food for predator. By analyzing the corresponding characteristic equations, we investigate the local stability of equilibria and the existence of ...
Yuzhen Bai, Yunyun Li
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Hopf Bifurcation and Chaos of a Delayed Finance System
Complex, 2019 In this paper, a finance system with delay is considered. By analyzing the corresponding characteristic equations, the local stability of equilibrium is established. The existence of Hopf bifurcations at the equilibrium is also discussed.
Xuebing Zhang, Honglan Zhu
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Bifurcation Analysis of the Watt Governor System [PDF]
, 2006 This paper pursues the study carried out by the authors in {\it Stability and Hopf bifurcation in the Watt governor system} \cite{smb}, focusing on the codimension one Hopf bifurcations in the centrifugal Watt governor differential system, as presented ...
Braga, Denis de Carvalho +2 more
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Oscillations and secondary bifurcations in nonlinear magnetoconvection [PDF]
, 1993 Complicated bifurcation structures that appear in nonlinear systems governed by partial differential equations (PDEs) can be explained by studying appropriate low-order amplitude equations.
A. M. Rucklidge +13 more
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Discrete and Continuous Dynamical Systems. Series A, 2019 It is well known that the Leslie-Gower prey-predator model (without Allee effect) has a unique globally asymptotically stable positive equilibrium point, thus there is no Hopf bifurcation branching from positive equilibrium point.
Na Min, Mingxin Wang
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Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay
Journal of Applied Mathematics, 2014 A delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation.
Yuanyuan Chen, Ya-Qing Bi
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Hopf bifurcation of a heroin model with time delay and saturated treatment function
Advances in Differential Equations, 2019 In this paper, local stability and Hopf bifurcation of a delayed heroin model with saturated treatment function are discussed. First of all, sufficient conditions for local stability and existence of Hopf bifurcation are obtained by regarding the time ...
Zizhen Zhang, Yougang Wang
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On the nonautonomous Hopf bifurcation problem [PDF]
Discrete & Continuous Dynamical Systems - S, 2016 Under well-known conditions, a one-parameter family of two-dimensional, autonomous ordinary differential equations admits a supercritical\break Andronov-Hopf bifurcation. Let such a family be perturbed by a non-autonomous term. We analyze the sense in which and some conditions under which the Andronov-Hopf pattern persists under such a perturbation.
FRANCA, MATTEO +2 more
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Bursting Oscillations in General Coupled Systems: A Review
Mathematics, 2023 In this paper, the bursting oscillation phenomenon in coupled systems with two time scales is introduced. Firstly, several types of bifurcation are briefly introduced: fold bifurcation, Hopf bifurcation, fold limit cycle bifurcation, homoclinic ...
Danjin Zhang, Youhua Qian
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, 2008 We present a bifurcation analysis of a normal form for travelling waves in one-dimensional excitable media. The normal form which has been recently proposed on phenomenological grounds is given in form of a differential delay equation.
Georg A. Gottwald +5 more
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