{"product_id":"dynamics-through-first-order-differential-equations-in-the-configuration-space-von-jaume-llibre-rafael-ramirez-und-valentin-ramirez","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031270949\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031270970\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783031270949","offer_id":46670884864325,"sku":"9783031270949","price":160.49,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783031270970","offer_id":48590315651397,"sku":"9783031270970","price":160.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/ac13c581-0273-40ad-a772-bd6fad3df3c8.jpg?v=1772257673","url":"https:\/\/shop.autorenwelt.de\/en\/products\/dynamics-through-first-order-differential-equations-in-the-configuration-space-von-jaume-llibre-rafael-ramirez-und-valentin-ramirez","provider":"Autorenwelt Shop","version":"1.0","type":"link"}