Title :
On the general theory of learning
Author_Institution :
Dept. of Math., Rostov State Univ., Russia
Abstract :
A mathematically pure description of the black box behavior which can be considered as an elementary process of learning is given. It can be modeled with the help of a dynamical system in a plane quite naturally. Transition to the state with long-term memory is related to the Hopf bifurcation which occurs inside the unstable limit cycle. An example of a system which is capable of elementary learning is presented and studied in detail
Keywords :
bifurcation; learning (artificial intelligence); limit cycles; Hopf bifurcation; elementary learning; learning; long-term memory; state transition; unstable limit cycle; Bifurcation; Learning systems; Limit-cycles; Mathematical model; Mathematics; Reactive power; Tin;
Conference_Titel :
Neuroinformatics and Neurocomputers, 1992., RNNS/IEEE Symposium on
Conference_Location :
Rostov-on-Don
Print_ISBN :
0-7803-0809-3
DOI :
10.1109/RNNS.1992.268566
