Time and systems
| Autor: | Robert Vallée |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Diffusion (acoustics)
Implosion Square (algebra) Cosmology Theoretical Computer Science Duration (philosophy) Control and Systems Engineering Computer Science (miscellaneous) Statistical physics Dynamical system (definition) Engineering (miscellaneous) Value (mathematics) Social Sciences (miscellaneous) Simulation Instant Mathematics |
| Zdroj: | Kybernetes. 34:1563-1569 |
| ISSN: | 0368-492X |
| DOI: | 10.1108/03684920510614812 |
| Popis: | Purpose – To give a mathematical expression of what could be called the internal time of a dynamical system, a time which is different from the external or reference time.Design/methodology/approach – The paper introduces a general mathematical definition of internal duration and so of internal time. Then we consider the case of an explosion followed by an implosion, which we apply to cosmology and physiology. The case of diffusion is also presented.Findings – The internal time is generally different from the reference time. In certain cases to a finite reference duration may correspond an infinite internal duration.Research limitations/implications – Our formulations may help to understand certain aspects of cosmology, physiology and more generally of the evolution of dynamical systems.Practical implications – For example, the physiology of ageing.Originality/value – The consideration of the square of the speed of evolution, at instant t, of a dynamical system for measuring the internal duration of inter... |
| Databáze: | OpenAIRE |
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