{"product_id":"9783031270949","title":"Dynamics through First-Order Differential Equations in the Configuration Space","description":"\u003ch1\u003eDynamics through First-Order Differential Equations in the Configuration Space\u003c\/h1\u003e \u003ch2\u003eLlibre, Jaume; Ramírez, Rafael; Ramírez, Valentín\u003c\/h2\u003e \u003cp\u003eThe goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space? By introducing a proper class of vector field – the Cartesian vector field – given in a Riemann space, the authors explore the connections between the first order ordinary differential equations (ODEs) associated to the Cartesian vector field in the configuration space of a given mechanical system and its dynamics. The result is a new perspective for studying the dynamics of mechanical systems, which allows the authors to present new cases of integrability for the Suslov and Veselova problem; establish the relation between the Cartesian vector field and the integrability of the geodesic flow in a special class of homogeneous surfaces; discuss the importance of the Nambu bracket in the study of first order ODEs; and offer a solution of the inverse problem in celestial mechanics.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2023-04-26\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031270949\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-27095-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 345\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44810000892044,"sku":"9783031270949","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031270949.jpg?v=1776087164","url":"https:\/\/lateknightbooks.com\/products\/9783031270949","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}