Damped brachistochrone problem and the relation between constraint and theorem of motion | Zendy

Ding Guang-Tao | Zendy

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Damped brachistochrone problem and the relation between constraint and theorem of motion

Author(s) -

Ding Guang-Tao

Publication year - 2014

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.63.070201

Subject(s) - holonomic , nonholonomic system , holonomic constraints , motion (physics) , integrable system , zero (linguistics) , classical mechanics , constraint (computer aided design) , physics , relation (database) , mathematics , mathematical physics , computer science , geometry , linguistics , philosophy , database , artificial intelligence , robot , mobile robot , quantum mechanics

The damped brachistochrone problem and that with non-zero initial velocity are studied. Based on the discussion of these problems, one may take theorems of motion as constraints for some systems, and whether the constraints are holonomic or nonholonomic is related to the fact that the differential theorems of motion are integrable or non-integrable.

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