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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2011

2011

- Yanyan Zhang, Martin Golubitsky
- SIAM J. Applied Dynamical Systems
- 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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2010

Highly Cited

2010

- Arindam Basu, Csaba Petre, Paul E. Hasler
- IEEE Transactions on Biomedical Circuits and…
- 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

- Björn Sandstede, Arnd Scheel
- SIAM J. Math. Analysis
- 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

- Henk W. Broer, Maria-Cristina Ciocci, Heinz Hanßmann
- I. J. Bifurcation and Chaos
- 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

- Fernando Verduzco, Joaquín Álvarez-Gallegos
- Systems & Control Letters
- 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

- Richard H. Rand, ALBERT BARCILON
- 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

- Maxim K. Zalalutdinov, Jeevak M. Parpia, +4 authors Richard H. Rand
- 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

- Edgar Knobloch
- 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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