Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields
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DOI: 10.1016/j.aop.2020.168180
Abstract: The integrals of the motion associated with conformal Killing vectors of a curved space-time with an additional electromagnetic background are studied for massive particles. They involve a new term which might be non-local. The difficulty… read more here.
Keywords: integrals motion; motion waves; symmetries integrals; waves external ... See more keywords
Nonholonomic Noetherian Symmetries and Integrals of the Routh Sphere and the Chaplygin Ball
Sign Up to like & getrecommendations! Published in 2019 at "Regular and Chaotic Dynamics"
DOI: 10.1134/s1560354719050058
Abstract: The dynamics of a spherical body with a non-uniform mass distribution rolling on a plane were discussed by Sergey Chaplygin, whose 150th anniversary we celebrate this year. The Chaplygin top is a non-integrable system, with… read more here.
Keywords: symmetries integrals; integrals routh; nonholonomic noetherian; chaplygin ball ... See more keywords