Evolving functional network properties and synchronizability during human epileptic seizures
We assess electrical brain dynamics before, during, and after 100 human epileptic seizures with different anatomical onset locations by statistical and spectral properties of functionally defined netw...
We assess electrical brain dynamics before, during, and after 100 human epileptic seizures with different anatomical onset locations by statistical and spectral properties of functionally defined netw...
Multistability, phase diagrams, and intransitivity in the Lorenz-84 low-order atmospheric circulation model
We report phase diagrams detailing the intransitivity observed in the climate scenarios supported by a prototype atmospheric general circulation model, namely, the Lorenz-84 low-order model. So far, t...
We report phase diagrams detailing the intransitivity observed in the climate scenarios supported by a prototype atmospheric general circulation model, namely, the Lorenz-84 low-order model. So far, t...
Orbit spectral density versus stimulus identity and intensity
Chaos 18, 033120 (2008); doi:10.1063/1.2969069
Published 18 August 2008
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A concept of orbit spectral density for a one-dimensional iterated function is presented. To compute orbit spectral density, a method of extracting low-order periodic orbits from the dynamical system defined by the iterated function is first used. All points of the dynamics are then partitioned among the periodic orbits according to a distance measure. Partition sizes estimate the density of trajectories around periodic orbits. Assigning these trajectory densities to the orbit indexes introduces the orbit spectral density. A practical computational example is presented in the context of a model olfactory system.
©2008 American Institute of Physics
| History: | Received 25 February 2008; accepted 18 July 2008; published 18 August 2008 |
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http://link.aip.org/link/?CHAOEH/18/033120/1 |
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