Orbit spectral density versus stimulus identity and intensity.
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.
Lozowski
Andy G
AG
Department of Electrical and Computer Engineering, Southern Illinois University Edwardsville, Edwardsville, Illinois 62026, USA. a.lozowski@ieee.org
D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D017711:Nonlinear Dynamics; D018034:Olfactory Receptor Neurons / Q000502:physiology*; D010812:Physical Stimulation / Q000379:methods*; D012903:Smell / Q000502:physiology*