Results 21 to 30 of about 12,431 (232)
Symmetry-breaking in a rate model for a biped locomotion central pattern generator [PDF]
, 2014 The timing patterns of animal gaits are produced by a network of spinal neurons called a Central Pattern Generator (CPG). Pinto and Golubitsky studied a four-node CPG for biped dynamics in which each leg is associated with one flexor node and one ...
Ian Stewart, Stewart, Ian
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Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System
Journal of Applied Mathematics, 2014 We study the bifurcations and sliding mode control of chaotic vibrations in an autonomous system. More precisely, a Hopf bifurcation controller is designed so as to control the unstable subcritical Hopf bifurcation to the stable supercritical Hopf ...
Wenju Du +5 more
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Influence of Time Delay on Bifurcation in Fractional Order BAM Neural Networks With Four Delays
IEEE Access, 2019 Over the past several decades, numerous scholars have studied the stability and Hopf bifurcation problem of integer-order delayed neural networks. However, the fruits about the stability and Hopf bifurcation for fractional-order delayed neural networks ...
Changjin Xu +3 more
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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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Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion
Advances in Difference Equations, 2019 In this paper, the Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is considered. Firstly, we present a kind of double parameters selection method, which can be used to analyze the Turing ...
Qiushuang Shi, Ming Liu, Xiaofeng Xu
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation
, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE +3 more
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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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Mathematics, 2022 We studied a delayed predator–prey model with diffusion and anti-predator behavior. Assume that additional food is provided for predator population. Then the stability of the positive equilibrium is considered.
Ruizhi Yang, Xiao Zhao, Yong An
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Hamiltonian Hopf Bifurcation with Symmetry [PDF]
Archive for Rational Mechanics and Analysis, 2002 35 pages, 3 ...
Chossat, Pascal +2 more
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Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration
Electronic Journal of Qualitative Theory of Differential Equations, 2016 A delayed predator-prey system with a constant rate immigration is considered. Local and global stability of the equilibria are studied, a fixed point bifurcation appears near the boundary equilibrium and Hopf bifurcation occurs near the positive ...
Gang Zhu, Junjie Wei
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