On the energy transfer to small scales in a discrete model of one-dimensional turbulence
We consider a discrete one-dimensional model that was investigated numerically by Daumont and Peyrard [Chaos 13, 624 (2003)] as a model for turbulence in fluids, i.e., for the energy transfer from lar...
We consider a discrete one-dimensional model that was investigated numerically by Daumont and Peyrard [Chaos 13, 624 (2003)] as a model for turbulence in fluids, i.e., for the energy transfer from lar...
Estimation of the control parameter from symbolic sequences: Unimodal maps with variable critical point
The work described in this paper can be interpreted as an application of the order patterns of symbolic dynamics when dealing with unimodal maps. Specifically, it is shown how Gray codes can be used t...
The work described in this paper can be interpreted as an application of the order patterns of symbolic dynamics when dealing with unimodal maps. Specifically, it is shown how Gray codes can be used t...
On the dynamics of chaotic spiking-bursting transition in the Hindmarsh–Rose neuron
Chaos 19, 023124 (2009); doi:10.1063/1.3156650
Published 26 June 2009
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The paper considers the neuron model of Hindmarsh–Rose and studies in detail the system dynamics which controls the transition between the spiking and bursting regimes. In particular, such a passage occurs in a chaotic region and different explanations have been given in the literature to represent the process, generally based on a slow-fast decomposition of the neuron model. This paper proposes a novel view of the chaotic spiking-bursting transition exploiting the whole system dynamics and putting in evidence the essential role played in the phenomenon by the manifolds of the equilibrium point. An analytical approximation is developed for the related crucial elements and a subsequent numerical analysis signifies the properness of the suggested conjecture.
©2009 American Institute of Physics
| History: | Received 20 March 2009; accepted 1 June 2009; published 26 June 2009 |
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http://link.aip.org/link/?CHAOEH/19/023124/1 |
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