Results 21 to 30 of about 228,096 (272)
Global dynamics of an immunosuppressive infection model with stage structure
Mathematical Biosciences and Engineering, 2020 In this paper, we propose an immunosuppressive infection model incorporating natural mortality of immune cells during the time lag needed for the expansion of immune cells.
Hongying Shu, Zenghui Hao
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Hopf Bifurcation, Hopf-Hopf Bifurcation, and Period-Doubling Bifurcation in a Four-Species Food Web [PDF]
Mathematical Problems in Engineering, 2018 Complex dynamics of a four-species food web with two preys, one middle predator, and one top predator are investigated. Via the method of Jacobian matrix, the stability of coexisting equilibrium for all populations is determined. Based on this equilibrium, three bifurcations, i.e., Hopf bifurcation, Hopf-Hopf bifurcation, and period-doubling ...
Huayong Zhang +5 more
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Hopf Bifurcation in the presence of symmetry [PDF]
Archive for Rational Mechanics and Analysis, 1984 This note announces a Hopf-bifurcation theorem for ordinary differential equations invariant under the action of a compact symmetry group. Various applications are sketched and references to previous more special results of other authors are given. Detailed proofs and further results are to appear in a paper with the same title (in Arch. Ration.
Golubitsky, Martin, Stewart, Ian
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Complexity, 2021 In this paper, a diffusion two-phytoplankton one-zooplankton model with time delay, Beddington–DeAnglis functional response, and Holling II functional response is proposed.
Xin-You Meng, Li Xiao
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Cluster Oscillation of a Fractional-Order Duffing System with Slow Variable Parameter Excitation
Fractal and Fractional, 2022 The complicated dynamic behavior of a fractional-order Duffing system with slow variable parameter excitation is investigated. The stability and bifurcation behavior of the fast subsystem are analyzed by using the dynamic theory of fractional-order ...
Xianghong Li, Yanli Wang, Yongjun Shen
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Nonlinear Analysis, 2022 In the present study, we deal with the stability and the onset of Hopf bifurcation of two type delayed BAM neural networks (integer-order case and fractional-order case).
Changjin Xu +7 more
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Degenerate Fold-Hopf Bifurcations in a Rössler-Type System [PDF]
, 2017 We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z, =x ay, =-cz byz, * with b 0. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold--Hopf bifurcation ...
Ciurdariu, Loredana +2 more
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Hamiltonian Hopf Bifurcation with Symmetry [PDF]
Archive for Rational Mechanics and Analysis, 2002 35 pages, 3 ...
Juan-Pablo Ortega +2 more
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Dissipative periodic and chaotic patterns to the KdV--Burgers and Gardner equations [PDF]
, 2019 We investigate the KdV-Burgers and Gardner equations with dissipation and external perturbation terms by the approach of dynamical systems and Shil'nikov's analysis.
Adams, Ronald, Mancas, Stefan C.
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Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua’s system [PDF]
Advances in Difference Equations, 2018 Abstract Based on the fact that Chua’s system is a classic model system of electronic circuits, we first present modified Chua’s system with a smooth nonlinearity, described by a cubic polynomial in this paper. Then, we explore the distribution of the equilibrium points of the modified Chua circuit system.
Yebei Liu, Junze Li, Zhouchao Wei
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