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State Transition Dynamics: Basic Concepts and Molecular Computing Perspectives

State Transition Dynamics: Basic Concepts and Molecular Computing Perspectives

Vincenzo Manca, Giuditta Franco, Giuseppe Scollo
Copyright: © 2005 |Pages: 24
ISBN13: 9781591403333|ISBN10: 1591403332|ISBN13 Softcover: 9781591403340|EISBN13: 9781591403357
DOI: 10.4018/978-1-59140-333-3.ch002
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MLA

Manca, Vincenzo, et al. "State Transition Dynamics: Basic Concepts and Molecular Computing Perspectives." Molecular Computational Models: Unconventional Approaches, edited by Marian Gheorghe, IGI Global, 2005, pp. 32-55. https://doi.org/10.4018/978-1-59140-333-3.ch002

APA

Manca, V., Franco, G., & Scollo, G. (2005). State Transition Dynamics: Basic Concepts and Molecular Computing Perspectives. In M. Gheorghe (Ed.), Molecular Computational Models: Unconventional Approaches (pp. 32-55). IGI Global. https://doi.org/10.4018/978-1-59140-333-3.ch002

Chicago

Manca, Vincenzo, Giuditta Franco, and Giuseppe Scollo. "State Transition Dynamics: Basic Concepts and Molecular Computing Perspectives." In Molecular Computational Models: Unconventional Approaches, edited by Marian Gheorghe, 32-55. Hershey, PA: IGI Global, 2005. https://doi.org/10.4018/978-1-59140-333-3.ch002

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Abstract

Classical dynamics concepts are analysed in the basic mathematical setting of state transition systems where time and space are both completely discrete and no structure is assumed on the state’s space. Interesting relationships between attractors and recurrence are identified and some features of chaos are expressed in simple, set theoretic terms. String dynamics is proposed as a unifying concept for dynamical systems arising from discrete models of computation, together with illustrative examples. The relevance of state transition systems and string dynamics is discussed from the perspective of molecular computing.

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