Hopf bifurcation

Known as: Andronov-Hopf bifurcation, Andronov–Hopf bifurcation, Hopf bifurcation theorem 
In the mathematical theory of bifurcations, a Hopf bifurcation is a critical point where a system's stability switches and a periodic solution arises… (More)
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1981-2017
05010015019812017

Papers overview

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2011
2011
We study a periodically forced system of ODEs near a point of Hopf bifurcation, where the forcing frequency ωF is near the Hopf… (More)
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Highly Cited
2010
Highly Cited
2010
In this paper, the nonlinear dynamical phenomenon associated with a silicon neuron are described. The neuron has one transient… (More)
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2008
2008
Using spatial dynamics, we prove a Hopf bifurcation theorem for viscous Lax shocks in viscous conservation laws. The bifurcating… (More)
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2008
2008
In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf bifurcation processes in the… (More)
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2007
2007
We consider the perturbed quasi-periodic dynamics of a family of reversible systems with normally 1:1 resonant invariant tori. We… (More)
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2006
2006
In this paper we find conditions to control a Hopf bifurcation in a class of nonlinear systems whose linear approximation has two… (More)
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2005
2005
We investigate the dynamics of a system consisting of a simple harmonic oscillator with small nonlinearity, small damping and… (More)
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2004
2004
A large variety of passive optical systems subject to a delayed feedback have appeared in the literature and are described… (More)
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2003
2003
Self-sustained mechanical vibrations of a disc-type microfabricated resonator were experimentally observed when a continuous wave… (More)
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2002
2002
A symmetry-breaking Hopi bifurcation in an O(2)-symmetric system has eigenvalues of multiplicity two. When the circular symmetry… (More)
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