Open AccessPeriod Estimation and Noise in a Neutrally Stable Stochastic Oscillator
Author(s) -
Kevin R. Sanft,
Ben Intoy
Publication year - 2020
Publication title -
spora
Language(s) - English
Resource type - Journals
eISSN - 2473-5493
pISSN - 2473-3067
DOI - 10.30707/spora6.1/cjsn8852
Subject(s) - poisson distribution , mathematics , noise (video) , gaussian noise , hierarchy , wavelet , statistical physics , fixed point , population , period (music) , discrete time and continuous time , statistics , computer science , mathematical analysis , physics , algorithm , demography , artificial intelligence , sociology , economics , market economy , image (mathematics) , acoustics
The periods of the orbits for the well-mixed cyclic three-species Lotka-Volterra model far away from the fixed point are studied. For finite system sizes, a discrete stochastic approach is employed and periods are found via wavelet analysis. As the system size is increased, a hierarchy of approximations ranging from Poisson noise to Gaussian noise to deterministic models are utilized. Based on the deterministic equations, a mathematical relationship between a conserved quantity of the model and the period of the population oscillations is found. Exploiting this property we then study the deterministic conserved quantity and period noise in finite size systems.