Detection of seizure rhythmicity by recurrences
Epileptic seizures show a certain degree of rhythmicity, a feature of heuristic and practical interest. In this paper, we introduce a simple model of this type of behavior, and suggest a measure for d...
Epileptic seizures show a certain degree of rhythmicity, a feature of heuristic and practical interest. In this paper, we introduce a simple model of this type of behavior, and suggest a measure for d...
A blind method for the estimation of the Hurst exponent in time series: Theory and application
Nowadays many methods for the estimation of self-similarity (Hurst coefficient, H) in time series are available. Most of them, even if very effective, need some a priori information to be applied. We ...
Nowadays many methods for the estimation of self-similarity (Hurst coefficient, H) in time series are available. Most of them, even if very effective, need some a priori information to be applied. We ...
Unfolding a codimension-two, discontinuous, Andronov–Hopf bifurcation
Chaos 18, 033125 (2008); doi:10.1063/1.2976165
Published 28 August 2008
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We present an unfolding of the codimension-two scenario of the simultaneous occurrence of a discontinuous bifurcation and an Andronov–Hopf bifurcation in a piecewise-smooth, continuous system of autonomous ordinary differential equations in the plane. We find that the Hopf cycle undergoes a grazing bifurcation that may be very shortly followed by a saddle-node bifurcation of the orbit. We derive scaling laws for the bifurcation curves that emanate from the codimension-two bifurcation.
©2008 American Institute of Physics
| History: | Received 21 April 2008; accepted 6 August 2008; published 28 August 2008 |
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http://link.aip.org/link/?CHAOEH/18/033125/1 |
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