Results 221 to 230 of about 203,161 (272)

Turing-Hopf bifurcation analysis in a superdiffusive predator-prey model.

Chaos, 2018
The predator-prey model with superdiffusion is investigated in this paper. Here, the existence of Turing-Hopf bifurcation and the resulting dynamics are studied.
Biao Liu, R. Wu, Liping Chen
semanticscholar   +1 more source

Insight into Hopf Bifurcation and Control Methods in Fractional Order BAM Neural Networks Incorporating Symmetric Structure and Delay

Cognitive Computation, 2023
Peiluan Li, Yuejing Lu, Changjin Xu, Jing Ren   +3 more
semanticscholar   +1 more source

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) .
openaire   +2 more sources

A Hopf bifurcation with spherical symmetry

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1992
The authors consider Hopf bifurcation on a ten dimensional center manifold in a \(O(3)\)-symmetric system. The main hypothesis is that the representation on the critical modes is given by the representation on \(V_ 5\oplus V_ 5\), the sum of two copies of the absolutely irreducible representations of \(O(3)\) on the spherical harmonics of order two ...
HAAF, H, ROBERTS, M, STEWART, I
openaire   +4 more sources

Hopf bifurcation of a fractional-order double-ring structured neural network model with multiple communication delays

Nonlinear dynamics, 2022
Shuai Li, Chengdai Huang, Sanling Yuan
semanticscholar   +1 more source

Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications

Communications in Computational Physics, 2016
We describe the algorithms used in the Matlab continuation and bifurcation package pde2path for Hopf bifurcation and continuation of branches of periodic orbits in systems of PDEs in 1, 2, and 3 spatial dimensions, including the computation of Floquet ...
H. Uecker
semanticscholar   +1 more source

Reversible Equivariant Hopf Bifurcation

Archive for Rational Mechanics and Analysis, 2004
This paper is devoted to the study of codimension-one reversible Hopf bifurcation; more precisely, the authors study periodic solutions near an equilibrium whose eigenvalues collide on the imaginary axis, where such a collision arises persistently in a one-parameter family. This situation is also known as 1:1 resonance.
Buzzi, Claudio Aguinaldo, Lamb, Jeroen S. W.   +1 more
openaire   +3 more sources

The Hopf Bifurcation

An Introduction to Chaotic Dynamical Systems, 2021
R. Devaney
semanticscholar   +1 more source

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
openaire   +2 more sources

On the Andronov–Hopf Bifurcation Theorem

Differential Equations, 2001
Based on the introduced notion of a 2-regular nonlinear mapping at a singular point, the author suggests a new proof of the known Andronov-Hopf bifurcation theorem.
openaire   +2 more sources