Results 11 to 20 of about 62,585 (218)
Computer-Assisted Proofs of Hopf Bubbles and Degenerate Hopf Bifurcations. [PDF]
J Dyn Differ Equ, 2023 We present a computer-assisted approach to prove the existence of Hopf bubbles and degenerate Hopf bifurcations in ordinary and delay differential equations.
Church K, Queirolo E.
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Hopf Bifurcations on Cubic Lattices [PDF]
Nonlinearity, 2003 The author continues his previous work in this article. The standard results on equivariant Hopf bifurcation are applied. Explicit computations concerning stability are performed.
Callahan, T. K.
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A brief historical perspective of the Wiener-Hopf technique [PDF]
, 2007 It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator.
Lawrie, JB, Abrahams, ID
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Bifurcations of piecewise smooth flows:perspectives, methodologies and open problems [PDF]
, 2012 In this paper the theory of bifurcations in piecewise smooth flows is critically surveyed. The focus is on results that hold in arbitrarily (but finitely) many dimensions, highlighting significant areas where a detailed understanding is presently lacking ...
A. Colombo +10 more
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Uniform approximation for period-quadrupling bifurcations. [PDF]
, 1997 . We derive a uniform approximation for semiclassical contributions of periodic orbits to the spectral density which is valid for generic period-quadrupling bifurcations in systems with a mixed phase space.
Henning Schomerus +5 more
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 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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Global Hopf bifurcation in the ZIP regulatory system [PDF]
, 2015 Regulation of zinc uptake in roots of Arabidopsis thaliana has recently been modeled by a system of ordinary differential equations based on the uptake of zinc, expression of a transporter protein and the interaction between an activator and inhibitor ...
Ptashnyk, Mariya +4 more
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Bifurcations and Turing patterns in a diffusive Gierer–Meinhardt model
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, the Hopf bifurcations and Turing bifurcations of the Gierer–Meinhardt activator-inhibitor model are studied. The very interesting and complex spatially periodic solutions and patterns induced by bifurcations are analyzed from both ...
Yong Wang, Mengping Guo, Weihua Jiang
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Unfoldings of Singular Hopf Bifurcation [PDF]
SIAM Journal on Applied Dynamical Systems, 2012 Singular Hopf bifurcation occurs in generic families of vector-fields with two slow variables and one fast variable. Normal forms for this bifurcation depend upon several parameters, and the dynamics displayed by the normal forms is intricate. This paper analyzes a normal form for this bifurcation.
John Guckenheimer, Philipp Meerkamp
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Hopf bifurcation in a gene regulatory network model : molecular movement causes oscillations [PDF]
, 2014 M.A.J.C. and M.S. gratefully acknowledge the support of the ERC Advanced Investigator Grant 227619, “M5CGS — From Mutations to Metastases: Multiscale Mathematical Modelling of Cancer Growth and Spread”. M.S.
Ptashnyk, Mariya +13 more
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