000015010 001__ 15010
000015010 005__ 20161115100208.0
000015010 04107 $$aeng
000015010 046__ $$k2016-08-21
000015010 100__ $$aHong, Ling
000015010 24500 $$aTransient responses of a forced triple-well potential system with fuzzy uncertainty

000015010 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015010 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015010 506__ $$arestricted
000015010 520__ $$2eng$$aTransient responses of a forced triple-well potential system with fuzzy uncertainty are studied by means of the Fuzzy Generalized Cell Mapping (FGCM) Method. The FGCM method is first introduced. A rigorous mathematical foundation of the FGCM is established as a discrete representation of the fuzzy master equation for the possibility transition of continuous fuzzy processes. The FGCM offers a very effective approach for solutions to the fuzzy master equation based on the min-max operator of fuzzy logic. A fuzzy response is characterized by its topology in the state space and its possibility measure of membership distribution functions (MDFs). This paper focuses on the evolution of transient MDFs of the fuzzy response. It is found that as the time goes on, transient MDFs spread around three potential wells. The evolutionary orientation of transient MDFs aligns with unstable invariant manifolds leading to stable invariant sets.

000015010 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015010 653__ $$a

000015010 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015010 720__ $$aHong, Ling
000015010 8560_ $$ffischerc@itam.cas.cz
000015010 8564_ $$s170785$$uhttps://invenio.itam.cas.cz/record/15010/files/TS.MS04-6.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 166, code TS.MS04-6.05
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000015010 962__ $$r13812
000015010 980__ $$aPAPER