Results 21 to 30 of about 152,071 (342)
Electronic Research Archive, 2023 In this paper, a discrete predator-prey model incorporating Allee effect and cannibalism is derived from its continuous version by semidiscretization method.
Zhuo Ba , Xianyi Li
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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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Bifurcation of gap solitons through catastrophe theory [PDF]
, 2001 In the theory of optical gap solitons, slowly-moving finite-amplitude Lorentzian solutions are found to mediate the transition from bright to coexistent dark-antidark solitary wave pairs when the laser frequency is detuned out of the proper edge of a ...
Conti, Claudio, Trillo, Stefano
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Stability and bifurcation analysis for a single-species discrete model with stage structure
Advances in Difference Equations, 2018 In this paper, a single-species discrete model with stage structure is investigated. By analyzing the corresponding characteristic equations, the local asymptotic stability of non-negative equilibrium points and the existence of flip bifurcation are ...
Daiyong Wu, Min Zhao, Hai Zhang
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Stability and Neimark–Sacker Bifurcation of a Delay Difference Equation
Mathematics, 2023 In this paper, we revisit a delay differential equation. By using the semidiscretization method, we derive its discrete model. We mainly deeply dig out a Neimark–Sacker bifurcation of the discrete model.
Shaoxia Jin, Xianyi Li
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Closed orbits and their bifurcations in the crossed-fields hydrogen atom
, 2002 A systematic study of closed classical orbits of the hydrogen atom in crossed electric and magnetic fields is presented. We develop a local bifurcation theory for closed orbits which is analogous to the well-known bifurcation theory for periodic orbits ...
Bartsch, T., Main, J., Wunner, G.
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Hopf Bifurcation Analysis of the Halvorsen System
Zanco Journal of Pure and Applied SciencesThis paper investigates local bifurcations in the Halvorsen system, focusing specifically on transcritical and Hopf bifurcations. The behavior of equilibrium points during bifurcations is studied using Sotomayor's theorem for transcritical bifurcation ...
Kardo Baiz Othman, Adnan Ali Jalal
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Advances in Difference Equations, 2020 A synthetic drug transmission model with psychological addicts and time delay is proposed in this paper. By analyzing the corresponding characteristic equation and choosing the time delay as the bifurcation parameter, a set of sufficient criteria ...
Zizhen Zhang, Fangfang Yang, Wanjun Xia
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Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response
Mathematics, 2023 Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
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Significance of Ghost Orbit Bifurcations in Semiclassical Spectra
, 1999 Gutzwiller's trace formula for the semiclassical density of states in a chaotic system diverges near bifurcations of periodic orbits, where it must be replaced with uniform approximations.
Birkhoff G D +17 more
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