Results 261 to 270 of about 23,444,297 (308)

Analysis and Control of Hopf Bifurcations

SIAM Journal on Control and Optimization, 2004
In this paper, control systems with two uncontrollable modes on the imaginary axis are studied. The main contributions include the local orientation control of periodic solutions and center manifolds, thequadratic normal form of systems with two imaginary uncontrollable modes, the stabilization of the Hopf bifurcation by state feedback, and the ...
Boumediene Hamzi, Wei Kang 0001, Jean-Pierre Barbot   +2 more
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Asymptotic Analysis of Bifurcations in Feedforward Networks

International Journal of Bifurcation and Chaos, 2021
A feedforward network is a unidirectionally coupled chain of dynamical systems in which the first cell is coupled to itself, and each successive cell is coupled to the next one. Feedforward networks have gained considerable interest because of their potential to enhance signal amplification and to manipulate the frequency of oscillations.
Tyler Levasseur, Antonio Palacios
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A bifurcation analysis of calcium buffering

Journal of Theoretical Biology, 2006
Many mathematical models of calcium oscillations model buffering implicitly by using a rapid buffering approximation. This approximation assumes that separate time scales can be distinguished, with the buffer reactions occurring on a faster time scale than the other calcium fluxes. The rapid buffering approximation is convenient as it reduces the model
Gin, Elan, Kirk, Vivien, Sneyd, James
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Bifurcation Analysis of a Biochemical Network

2006
An approach that uses tools from systems and control theory is presented. Such technique enables the determination of the essential interactions in the autoregulatory process that describes the cell cycle of Xenopus frog eggs. The results make possible an assessment of the effect of each protein on the biochemical network stability. The proposed method
Ferreira, J.S., Lozano, R., Mondié, Sabine, Friboulet, A.   +3 more
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Bifurcation analysis of a centrifugal compressor

2011 IEEE International Conference on Systems, Man, and Cybernetics, 2011
This paper presents the local bifurcation analysis of the dynamic behavior for a centrifugal compressor. It is known that the surge phenomenon in compressor dynamics might occur at high pressure rise operation. Under such an operation, slight variation of the driving torque and/or the throttle opening might sharply reduce the compressor efficiency and ...
Der-Cherng Liaw, Shih-Tse Chang
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Bifurcation Analysis in a Cancer Growth Model

International Journal of Bifurcation and Chaos, 2020
A mathematical model describing interactions among tumor cells, healthy host cells and immune cells is extensively investigated through bifurcation analysis with all parameters fixed except one bifurcation parameter. Transcritical bifurcation and saddle-node bifurcation are studied in the vector fields restricted to the corresponding center manifolds.
Yu Chang, Xiaoli Wang, Zhihong Feng, Wei Feng   +3 more
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Numerical Analysis of Bifurcations

1995
In this chapter we shall describe some of the basic techniques used in the numerical analysis of dynamical systems. We assume that low-level numerical routines like those for solving linear systems, finding eigenvectors and eigenvalues, and performing numerical integration of ODEs are known to the reader.
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Bifurcation analysis of chemical reaction mechanisms. II. Hopf bifurcation analysis

The Journal of Chemical Physics, 1993
One- and two-parameter Hopf bifurcation behavior is analyzed for several variants of the Citri–Epstein mechanism of the chlorite–iodide reaction. The coefficients of an equation for the amplitude of oscillations (the universal unfolding of the Hopf bifurcation) are evaluated numerically.
Robert J. Olsen, Irving R. Epstein
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Bifurcation Analysis of Railway Vehicles

Multibody System Dynamics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hopf bifurcation analysis in the system

Nonlinear Analysis: Real World Applications, 2010
The authors study Hopf bifurcation for the T system, which is a Lorenz-like system. By using results from the normal form theory, the direction of this bifurcation and the stability of the emerging periodic orbits are given. The paper ends with some numerical illustrations.
Jiang, Bo, Han, Xiujing, Bi, Qinsheng
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