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Concept

Attracteur de Hénon

Publications associées (26)

The Hindmarsh-Rose neuron model: Bifurcation analysis and piecewise-linear approximations

This paper provides a global picture of the bifurcation scenario of the Hindmarsh-Rose model. A combination between simulations and numerical continuations is used to unfold the complex bifurcation structure. The bifurcation analysis is carried out by vary ...

American Institute of Physics2008

Contribution to the ergodic theory of piecewise monotone continuous maps

Bastien Faller

This thesis is devoted to the ergodic theory of the piecewise monotone continuous maps of the interval. The coding is a classical approach for these maps. Thanks to the coding, we get a symbolic dynamical system which is almost isomorphic to the initial dy ...

EPFL2008

Steady-state Solutions in Mathematical Models of Atrial Cell Electrophysiology and their Stability

Vincent Jacquemet

The steady states of the Fenton–Karma, the Courtemanche and the Nygren cell models were studied by determining the fixed points of the dynamical system describing their cell kinetics. The linear stability of the fixed points was investigated, as well as th ...

2007

Classes of stochastically switched (blinking) systems

Martin Hasler, Igor Belykh

It is investigated to what extent the trajectories of a stochastically switched (blinking) system follow the corresponding trajectories of the averaged system. Four cases have to be distinguished, depending on whether or not the averaged system has a uniqu ...

2007

Controlled One- and Multidimensional Modulations Using Chaotic Maps

Martin Hasler, Thomas Schimming, Slobodan Kozic

Recently, several approaches for communications using chaos have been presented, often showing less than acceptable performance. In this paper, a short introduction to the topic is given, and it is shown that such methods can be efficient—if the informatio ...

2006

Belief Propagation Decoding for Codes Based on Discretized Chaotic Maps

Martin Hasler, Slobodan Kozic

In this paper a class of discretized piecewise linear chaotic maps of a very high dimensions are used for communication over a noisy channel. An information payload that is sent over a channel is controlled in the transmitter and is related to the symbolic ...

2006