Title :
Analyzing the Chaotic Behavior of the Logistics Equation Represented as a Marked Point Process
Author :
Hibey, Joseph L.
Author_Institution :
Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, Virginia 23529
Abstract :
The logistics equation, a discrete-time process, is embedded in a continous-time marked point process of the Poisson type. The concept of the Liapanov exponent used in the study of chaos is then applied to the point process to describe some of its behavior. Characterizations in terms of Markov processes and martingales are used in the analysis.
Keywords :
Chaos; Electrical engineering; Financial advantage program; Logistics; Markov processes; Poisson equations; Stochastic systems; Writing;
Conference_Titel :
American Control Conference, 1988
Conference_Location :
Atlanta, Ga, USA