{"product_id":"9783031270949","title":"Dynamics Through First-Order Differential Equations In The Configuration Space","description":"The 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.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003e| \u003cb\u003eAuthor: \u003c\/b\u003eJaume Llibre, Rafael Ramírez, Valentín Ramírez\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003ePublisher: \u003c\/b\u003eBirkhäuser\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003ePublication Date: \u003c\/b\u003eApr 26, 2023\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eNumber of Pages: \u003c\/b\u003e367 pages\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eLanguage: \u003c\/b\u003eEnglish\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eBinding: \u003c\/b\u003eHardcover\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eISBN-10: \u003c\/b\u003e3031270940\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eISBN-13: \u003c\/b\u003e9783031270949\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Birkhäuser","offers":[{"title":"Default Title","offer_id":48310341304625,"sku":"9783031270949","price":170.09,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0798\/8215\/8385\/products\/9783031270949.jpg?v=1707937243","url":"https:\/\/www.recomparo.com\/es\/products\/9783031270949","provider":"ReComparo.com","version":"1.0","type":"link"}