Diagnosis of dynamical systems with fluctuating parameters

Details Diagnosis of dynamical systems with fluctuating parameters Diagnosis of dynamical systems with fluctuating parameters

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.413....5r&link_type=abstract

(Royal Society, Discussion on Dynamical Chaos, London, England, Feb. 4, 5, 1987) Royal Society (London), Proceedings, Series A -

Mathematics

Dynamical Systems

4

Chaos, Dynamical Systems, Fluctuation Theory, Power Spectra, Strange Attractors, Systems Stability

Scientific paper

The applicability of mathematical models of chaos to physical, biological, and economic systems is discussed. The fundamental principles of the ergodic approach to chaos are briefly reviewed, and it is pointed out that in some natural phenomena the time evolution has adiabatically fluctuating parameters. It is suggested that these phenomena may be analyzable even though they are not represented by autonomous dynamical systems. The kinds of results to be expected from such an analysis are considered.

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