Abstract
Since the first reflections of Schrödinger about life [8.14] there has been a considerable amount of literature on self-organizing systems, and more especially on the various relationships between information, on the one hand, and such topics as order, disorder, complexity, and organization on the other. Loosely speaking, these books and articles can be divided into two kinds: those which are qualitative and philosophical, and those which deal with systems science and physics.
There is nothing more practical than a good theory.
Ludwig Boltzman
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
ATLAN, H.; Biological Organization and Information Theory (in french), Hermann, Paris, 1972
BRILLOUIN, L.; Science and Information Theory, Academic Press, New York, 1956
GLANSFROFF, P. and PRIGOGINE, I.; Thermodynamic Theory of Structure, Stability and Fluctuation, Interscience Publications, New York, 1991
HAKEN, H.; Information and Self-Organization: A Macroscopic Approach to Complex Systems, Springer Verlag, Berlin, 1990
INGRADEN, R.S., KOSSAKOWSKI A. and Ohaya, M.; Information Dynamics and Open Systems, Classical and Quantum Approach, Kluwer, Dordrecht, 1997
Jumarie, G.; A practical approach to nonlinear estimation by using the maximum entropy principle, ASME Trans., J. Dynamic Systems Measurement and Control, Vol 108, Series G, No 1, pp 49–56, 1986
Jumarie, G.; Solution of the multivariate Fokker-Planck equation by using the maximum entropy principle, J. Math. Phys., Vol 31, NO 10, pp 2389–2392, 1990
Jumarie, G.; Relative Information, Theories and Applications, Springer Verlag, Berlin, 1990
Kovanic, P.; A new theoretic and algorithmic basis for estimation, identification and control, Automatica, Vol 22, No 6, pp 657–674, 1986
Landsberg, P.T.; Thermodynamics with Quantum Mechanical Illustrations, Oxford University Press, Oxford, 1978
Nicolis, G.; and Prigogine, I.; Self-organization in Non-equilibrium Systems, Wiley and Sons, New York, NY, 1977
Prigogine, I.; Introduction to the Thermodynamics of Irreversible Processes (in french) Dunod, Paris, 1968
Shannon, C.E. and Weaver, W.; A Mathematical Theory of Communication, University of Illinois Press, Chicago, 1949
SChrodinger, E.; What is Life? Cambridge University Press, Canbridge, 1946
Von Foerster, in Yovits and Cameron (Eds), On Self-Organizing Systems and Their Environments, Pergamon Press, London, 1950
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Jumarie, G. (2000). Information Thermodynamics and Complex-Valued Fractional Brownian Motion of Order n . In: Maximum Entropy, Information Without Probability and Complex Fractals. Fundamental Theories of Physics, vol 112. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9496-7_8
Download citation
DOI: https://doi.org/10.1007/978-94-015-9496-7_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5467-8
Online ISBN: 978-94-015-9496-7
eBook Packages: Springer Book Archive