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• W854887761 abstract "Self-organizing systems called wheel systems have been developed in response to the problem of finding periodic recurrences in sequences of units (observations of the behaviour of individual animals). In the introduction there are presented concepts of ethological the available mathematical methods for analysis of sequences of units, and an overview of the field of self-organizing systems. This is followed by a description of the A wheel system. Rules of two other self-organizing systems, a Q wheel system and an H wheel system are then given. Illustrations of the operation of Q, and H wheel systems are given in appendices. The A wheel system is then selected for detailed study. This begins with descriptions of several experiments which empirically demonstrate certain properties of the system, with emphasis on certain effects of the fact that it is a self-organizing system (SOS). The possibility of using the A wheel system as an adjunct to pattern recognition and simulation is then studied by development of methods of interpretation of the results (wheel tracks) of the A wheel system. Two lines of approach are developed according to what are conveniently called structural patterns and functional patterns. The latter approach is more general and was developed as an understanding grew of the limitations of the former approach. Certain concepts from automata theory are introduced to show that a certain kind of automaton, an acceptor, can be used to model the behaviour of a wheel. Also, the behaviour of a set of wheels can be modelled by an acceptor. A method is given for constructing a sequential machine which will print the input sequence to the A wheel system (i.e., the original sequence of units). It receives, on an input tape, blanks and non-blank symbols. For each blank input symbol, the machine generates a non-blank output symbol autonomously. The non-blank input symbols are printed in the output sequence and mark events when operation is interrupted. A sequential machine is obtained which simulates the singing of morning twilight song by an individual of the North American Wood Peewee. The sequence simulated was Record 5 of Craig (1943)*. This sequence has previously been analysed by other authors using Markov chain models and the two methods are contrasted. An input tape is then obtained which drives the same machine in such a way that the machine produces an output sequence which is Record 4 (Craig, ibid.), the sequence of phrases sung by another individual Wood Peewee. An appendix contains instructions for use of three computer programs for the implementation of A, Q, and H wheel systems. A major advantage of the A wheel system is its adaptive property enabling successive changes of pattern to be found. It can accommodate relatively short data sequences compared with Markov models, and allows construction of a deterministic sequential machine to generate the observed sequence. Input symbols to the sequential machine support a classification of output symbols as autonomous productions or non-autonomous productions. A study is mads of the non-autonomous productions of the machine which simulates Record 5 and this confirms some of the earlier findings of Craig and suggests alternate interpretations for other of Craig's findings.*The song of the wood peewee Myochanes virens Linnaeus : a study of bird music. New York State Museum Bulletin, No. 334, June, 1943, page 41." @default.
• W854887761 created "2016-06-24" @default.
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• W854887761 date "2015-05-14" @default.
• W854887761 modified "2023-09-23" @default.
• W854887761 title "Wheel systems : self-organizing systems for finding periodic recurrences, with applications in ethology" @default.
• W854887761 doi "https://doi.org/10.14264/uql.2015.486" @default.
• W854887761 hasPublicationYear "2015" @default.
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