Spatiotemporal singular transformation in dynamical systems with impacts and its use in obtaining generalized solution of painleve problem

Boris Miller, E Rabinovich, Joseph Bentsman

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3 Citations (Scopus)


This work consider classical problems of motion in system with dry friction, known as the Painleve problem. This problem takes place in the presence of collisions of a rod with a flat surface, and the use of the classical mechanics method runs into difficulties due to the impulsive nature of the interaction force that does not lend itself to exact calculations. The methodology suggested by the authors in recent years permits approximating a family of solutions corresponding to a large value of the stiffness coefficient of the obstacle
Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
EditorsSergio Bittani, Angelo Cenedese, Sandro Zampieri
Place of PublicationUnited Kingdom
Pages3463 - 3473
Number of pages11
ISBN (Print)9783902661937
Publication statusPublished - 2011
EventInternational Federation of Automatic Control World Congress 2011 - Università Cattolica del Sacro Cuore, Milano, Italy
Duration: 28 Aug 20112 Sept 2011
Conference number: 18th


ConferenceInternational Federation of Automatic Control World Congress 2011
Abbreviated titleIFAC 2011
Internet address

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