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Phase Space Flux Ratio as a Measure of Relative Stability.


pdf icon Phase Space Flux Ratio as a Measure of Relative Stability. (436 K)
Frey, M. R.; Simiu, E.

Computation of Stochastic Mechanics, 2nd International Conference. Proceedings. June 13-15, 1994, Athens, Greece, Balkema, Rotterdam, Spanos, P. D., Editor(s), 113-120 pp, 1995.

Sponsor:

Office of Naval Research, Arlington, VA

Keywords:

building technology; chaos; phase space flux; relative stability

Abstract:

A new measure of the relative stability of potential wells is proposed based on phase space transport. This measure is described for continuous one-dimensional bistable dynamical systems and contrasted with a measure of relative stability based on the stationary distribution of system state in phase space. The advantages and limitations of the proposed approach to relative stability are discussed and a "blowtorch" theorem is presented.