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Dynamics of quasibound state formation in the driven Gaussian potential [PDF]
, 2008 The quasibound states of a particle in an inverted-Gaussian potential interacting with an intense laser field are studied using complex coordinate scaling and Floquet theory. The dynamics of the driven system is different depending on whether the driving
Jarukanont, Daungruthai +2 more
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Experiment and Theoretical Analysis Study of ETFE Inflatable Tubes
International Journal of Aerospace Engineering, 2014 The load bearing capacity of an ETFE (ethylene-tetra-fluoro-ethylene) inflatable tube is tested in this paper, and a comparative study of two wrinkling theories, the bifurcation theory and the tension field theory, is carried out for wrinkling analysis ...
YanLi He, WuJun Chen
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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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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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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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Discrete prey-predator model with fear effect and strong Allee effect
Xi'an Gongcheng Daxue xuebao, 2023 The rich dynamic properties of a discrete prey-predator model with fear effect and strong Allee effect are studied. The piecewise constant argument method of differential equation is used to discretize the system, and the existence of equilibrium point ...
HU Xinli, LI Hanghang
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Center manifold reduction for large populations of globally coupled phase oscillators
, 2011 A bifurcation theory for a system of globally coupled phase oscillators is developed based on the theory of rigged Hilbert spaces. It is shown that there exists a finite-dimensional center manifold on a space of generalized functions. The dynamics on the
Chiba, Hayato +2 more
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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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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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