Results 11 to 20 of about 65,659 (224)
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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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 Bifurcation, Hopf-Hopf Bifurcation, and Period-Doubling Bifurcation in a Four-Species Food Web [PDF]
Mathematical Problems in Engineering, 2018 Complex dynamics of a four-species food web with two preys, one middle predator, and one top predator are investigated. Via the method of Jacobian matrix, the stability of coexisting equilibrium for all populations is determined. Based on this equilibrium, three bifurcations, i.e., Hopf bifurcation, Hopf-Hopf bifurcation, and period-doubling ...
Huayong Zhang +5 more
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Optimization of Hopf Bifurcation Points
SIAM Journal on Scientific Computing, 2023 Abstract. We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of solving an optimization problem constrained by an extended system of nonlinear partial differential equations that characterizes Hopf bifurcation points.
Nicolas Boullé +2 more
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Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua’s system [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junze Li, Yebei Liu, Zhouchao Wei
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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. Prototypes for this bifurcation depend upon several parameters, and the dynamics displayed by these systems is intricate. The core of this paper is a numerical investigation of the bifurcations in one prototypical family.
John Guckenheimer, Philipp Meerkamp
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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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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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Generic Hopf-Neimark-Sacker bifurcations in feed-forward systems [PDF]
, 2008 We show that generic Hopf–Neĭmark–Sacker bifurcations occur in the dynamics of a large class of feed-forward coupled cell networks. To this end we present a framework for studying such bifurcations in parametrized families of perturbed forced oscillators
Vegter, Gert +3 more
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Hamiltonian Hopf bifurcations in Gaudin models [PDF]
We show that su(2) rational and trigonometric Gaudin models, or in other words, generalised coupled angular momenta systems, have singularities that undergo Hamiltonian Hopf bifurcations.
Henriksen, Tobias Våge
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