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Adaptive Dynamics and its Application to Chaos

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Contributions in Mathematical Physics
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Abstract

The adaptive dynamics has two aspects, one of which is the “observable-adaptivity” and another is the “state-adaptivity”.

Information Dynamics (ID) was proposed to find a common frame treating chaotic behaviors of several dynamical systems, which synthesizes the dynamics of state change and the complexity of system. ID enables us to attain a new concept “adaptivity” studying dynamics. In this paper, we briefly review the ID and the adaptive dynamics, and we discuss how they are used to understand chaos.

Dedicated to Professor G. G. Emch on his 70th birthday

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© 2007 Hindustan Book Agency

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Ohya, M. (2007). Adaptive Dynamics and its Application to Chaos. In: Ali, S.T., Sinha, K.B. (eds) Contributions in Mathematical Physics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-33-0_8

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