Results 41 to 50 of about 6,114,153 (354)
Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Mathematical Biosciences and Engineering, 2019 In this paper, we present a new method based on dynamical system theory to study certain type of slow-fast motions in dynamical systems, for which geometric singular perturbation theory may not be applicable.
Pei Yu, Xiangyu Wang
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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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Journal of Differential Equations, 1979 INTRODUCTION Imperfection-sensivity theory for structures has been the subject of many studies for some fifteen years [3][11][16]. I n mathematical terms, this theory leads to problems of perturbed bifurcation. In this respect, the British School [16][17] has studied systems with a finite number of degrees of freedom.
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On the torus bifurcation in averaging theory [PDF]
Journal of Differential Equations, 2020 In this paper, we take advantage of the averaging theory to investigate a torus bifurcation in two-parameter families of 2D nonautonomous differential equations. Our strategy consists in looking for generic conditions on the averaged functions that ensure the existence of a curve in the parameter space characterized by a Neimark-Sacker bifurcation in ...
Douglas D. Novaes, Murilo R. Cândido
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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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Renewal theory of coupled neuronal pools [PDF]
, 2011 A theory is provided to analyze the dynamics of delay-coupled pools of spiking neurons based on stability analysis of stationary firing. Transitions between stable and unstable regimes can be predicted by bifurcation analysis of the underlying integral ...
Christian Leibold +2 more
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A delayed computer virus model with nonlinear incidence rate
Systems Science & Control Engineering, 2019 An Susceptible-Vaccinated-Exposed-Infectious-Recovered computer virus model with nonlinear incidence rate and two delays is proposed and its Hopf bifurcation is investigated.
Yugui Chu, Wanjun Xia, Zecheng Wang
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Mathematics, 2019 This paper is devoted to an analysis on locating and counting satellite components born along the stability circle in the parameter space for a family of Jarratt-like iterative methods.
Young Hee Geum, Young Ik Kim
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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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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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