Results 211 to 220 of about 53,456 (235)

Bifurcations in planar, quadratic mass-action networks with few reactions and low molecularity. [PDF]

Nonlinear Dyn
Banaji M, Boros B, Hofbauer J.
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Coexistence of populations in a Leslie-Gower tritrophic model with Holling-type functional responses. [PDF]

Heliyon
Blé G, Valenzuela LM, Falconi M.
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Hopf bifurcation and the Hopf fibration [PDF]

Nonlinearity, 1994
We present techniques for studying the local dynamics generated by an equivariant Hopf bifurcation. We show that under general hypotheses we can expect the formation of a branch of attracting invariant spheres which capture all the local dynamics. In addition, using the Hopf fibration, we show that the limit cycles generated by the Hopf bifurcation are
James W. Swift, Michael Field
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The Hopf Bifurcation [PDF]

, 1985
The term Hopf bifurcation refers to a phenomenon in which a steady state of an evolution equation evolves into a periodic orbit as a bifurcation parameter is varied. The Hopf bifurcation theorem (Theorem 3.2) provides sufficient conditions for determining when this behavior occurs.
Martin Golubitsky, David G. Schaeffer
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Turing Instabilities at Hopf Bifurcation

Journal of Nonlinear Science, 2009
Turing–Hopf instabilities for reaction-diffusion systems provide spatially inhomogeneous time-periodic patterns of chemical concentrations. In this paper we suggest a way for deriving asymptotic expansions to the limit cycle solutions due to a Hopf bifurcation in two-dimensional reaction systems and we use them to build convenient normal modes for the ...
Ricard, M.R., Mischler, Stéphane
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THE CUSP–HOPF BIFURCATION

International Journal of Bifurcation and Chaos, 2007
The coalescence of a Hopf bifurcation with a codimension-two cusp bifurcation of equilibrium points yields a codimension-three bifurcation with rich dynamic behavior. This paper presents a comprehensive study of this cusp-Hopf bifurcation on the three-dimensional center manifold.
William F. Langford, John Harlim
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The Hopf Bifurcation

1979
Let X = Σ Xi∂i = Σ piξi∂i be a vectorfield on Δ. X is a function from Δ to RI. We define the Hessian of X at p, HPX: Tp Δ × Tp Δ → R to be the bilinear form defined by: $$ {H_P}X\left( {{Y^1}{Y^2}} \right) = {\left( {{d_P}X\left( {{Y^1}} \right),{Y^2}} \right)_P}. $$ (1.1) .
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On anticontrol of Hopf bifurcations

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
The control of the amplitude of the oscillations in an underactuated mechanical system is treated. Two different procedures for the design of the controller are proposed. One is based on Hopf bifurcation theory, and the other is derived from considerations about the system's energy.
E. Paolini, Jorge L. Moiola, D. Alonso
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On the analysis of hopf bifurcations

International Journal of Engineering Science, 1983
Abstract The oscillatory instability and the family of limit cycles associated with a general autonomous dynamical system described by n nonlinear first order differential equations and an independently assignable scalar parameter are examined via an intrinsic method of harmonic analysis.
K. Huseyin, A.S. Atadan
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HOPF Bifurcation for Periodic Systems

1985
This paper concerns with the problem of Hopf bifurcation from an equilibrium position to periodic solutions, in the case of n dimensional periodic differential systems. Results about existence and uniqueness of bifurcating periodic solutions are obtained.
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