Billiard dynamics of bouncing dumbbell

Y. Baryshnikov; V. Blumen; K. Kim; V. Zharnitsky

doi:10.1016/j.physd.2013.11.007

Billiard dynamics of bouncing dumbbell

Y. Baryshnikov, V. Blumen, K. Kim, V. Zharnitsky

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions with the boundary is found using billiard techniques. In case the ratio of masses is large and the dumbbell rotates fast, an adiabatic invariant is obtained.

Original language	English
Pages (from-to)	21-27
Number of pages	7
Journal	Physica D: Nonlinear Phenomena
Volume	269
DOIs	https://doi.org/10.1016/j.physd.2013.11.007
Publication status	Published - Feb 15 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/j.physd.2013.11.007

Cite this

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title = "Billiard dynamics of bouncing dumbbell",

abstract = "A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions with the boundary is found using billiard techniques. In case the ratio of masses is large and the dumbbell rotates fast, an adiabatic invariant is obtained.",

author = "Y. Baryshnikov and V. Blumen and K. Kim and V. Zharnitsky",

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AU - Blumen, V.

AU - Kim, K.

AU - Zharnitsky, V.

PY - 2014/2/15

Y1 - 2014/2/15

N2 - A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions with the boundary is found using billiard techniques. In case the ratio of masses is large and the dumbbell rotates fast, an adiabatic invariant is obtained.

AB - A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions with the boundary is found using billiard techniques. In case the ratio of masses is large and the dumbbell rotates fast, an adiabatic invariant is obtained.

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JO - Physica D: Nonlinear Phenomena

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ER -

Billiard dynamics of bouncing dumbbell

Abstract

All Science Journal Classification (ASJC) codes

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