The search for periodic unstable orbits in periodically driven spike trains
β Scribed by Donatella Petracchi
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 455 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0960-0779
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β¦ Synopsis
Abstmet-Rcccntly, periodic unstable orbits have been searched for in neural activity. by comparing the number of encounters in the original data and in surrogate data. Here it is shown that in periodically driven spike trains, 'high' numbers of encounters can be found because of the correlation of the discharge with the time-varying stimulus, without any relation with the structure of the system generating the discharge. The basic reason for the failure of the usual method for surrogate data when applied to spike trains is discussed and a new method to obtain surrogate data. specific for the time series of intervals from periodically driven spike trains, is introduced.
π SIMILAR VOLUMES
This paper proposes an approach for detecting unstable periodic orbits embedded in chaotic systems by using the simplex method. The simplex algorithm is easily implemented and does not require the derivatives of the function to be optimized. As a result, it is also applicable to chaotic systems with
An autonomous Hamiltonian system with two degrees of freedom is considered. It is assumed that a periodic motion and a secondorder resonance (parametric resonance) exist in the system. The unperturbed periodic motion is orbitally stable or unstable. However, even in the case of instability, the traj