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(2011) Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems, Dordrecht, Springer.
There exist various approaches to study chaotic behavior of systems by means of several concepts such as entropy, complexity, chaos, fractal, stochasticity. In 1991, the term Information Dynamics (ID) was proposed by Ohya with the aim of finding a common framework of treating such chaotic behaviors of different systems altogether. That is, ID is an attempt to synthesize dynamics of state change and complexity of the systems. The basic quantity in ID is called a chaos degree, which can be applied to describe chaos phenomena. Since then, ID has been refined and applied to several topics such as communication, chaos, genetics, and finance. Moreover, ID enables us to find mathematics to describe a sort of subjective aspects of physical phenomena, for instance, observation, effects of surroundings, which is called Adaptive Dynamics (AD).
Publication details
DOI: 10.1007/978-94-007-0171-7_10
Full citation:
Ohya, M. , Volovich, I. (2011). Information dynamics and adaptive dynamics, in Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems, Dordrecht, Springer, pp. 251-312.
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