Results 21 to 30 of about 115,644 (220)
Hybrid control of Hopf bifurcation in a Lotka-Volterra predator-prey model with two delays
Advances in Difference Equations, 2017 In this paper, the Hopf bifurcation control for a Lotka-Volterra predator-prey model with two delays is studied by using a hybrid control strategy.
Miao Peng, Zhengdi Zhang, Xuedi Wang
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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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Estimates of the bistable region in metal cutting [PDF]
, 2008 The classical model of regenerative vibration is investigated with new kinds of nonlinear cutting force characteristics. The standard nonlinear characteristics are subjected to a critical review from the nonlinear dynamics viewpoint based on the ...
Dombovari, Zoltan +4 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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Parametric Resonance of Hopf Bifurcation [PDF]
Nonlinear Dynamics, 2005 We investigate the dynamics of a system consisting of a simple, harmonic oscillator with small nonlinearity, small damping and small parametric forcing in the neighborhood of 2:1 resonance. We assume that the unforced system exhibits the birth of a stable limit cycle as the damping changes sign from positive to negative (a supercritical Hopf ...
Rand, Richard +2 more
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Physical Realizable Circuit Structure For Adaptive Frequency Hopf Oscillator [PDF]
, 2009 This paper presents a novel structure for the adaptive frequency Hopf oscillator where the nonlinear function is modified to make the system realizable using analog circuit components.
Ahmadi, Arash +7 more
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On the nonautonomous Hopf bifurcation problem [PDF]
Discrete and Continuous Dynamical Systems - S, 2016 Consider the two-dimensional system \[ \frac{dx}{dt}=f(x,\epsilon), \] where \(f(0,\epsilon)=0\). In the supercritical Andronov-Hopf theory, one imposes conditions to ensure that \(x=0\) is an exponentially asymptotically stable equilibrium point for \(\epsilon < 0\), and for small positive \(\epsilon\), there is an exponentially asymptotically stable ...
FRANCA, MATTEO +2 more
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