{"title":"Jaume Llibre","description":null,"products":[{"product_id":"inverse-problems-in-ordinary-differential-equations-and-applications-book-jaume-llibre-9783319263373","title":"Inverse Problems in Ordinary Differential Equations and Applications","description":"This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties. The Nambu bracket is the central tool in developing this approach. The authors start characterizing the ordinary differential equations in R^N which have a given set of partial integrals or first integrals. The results obtained are applied first to planar polynomial differential systems with a given set of such integrals, second to solve the 16th Hilbert problem restricted to generic algebraic limit cycles, third for solving the inverse problem for constrained Lagrangian and Hamiltonian mechanical systems, fourth for studying the integrability of a constrained rigid body. Finally the authors conclude with an analysis on nonholonomic mechanics, a generalization of the Hamiltonian principle, and the statement an solution of the inverse problem in vakonomic mechanics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49733863047441,"sku":"NGR9783319263373","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52584880144657,"sku":"NLS9783319263373","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3319263374.jpg?v=1750806099"},{"product_id":"dynamics-through-first-order-differential-equations-in-the-configuration-space-book-jaume-llibre-9783031270970","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.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51607940858129,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51607941120273,"sku":"NGR9783031270970","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3031270975.jpg?v=1751283966"},{"product_id":"inverse-problems-in-ordinary-differential-equations-and-applications-book-jaume-llibre-9783319799353","title":"Inverse Problems in Ordinary Differential Equations and Applications","description":"This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties. 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Finally the authors conclude with an analysis on nonholonomic mechanics, a generalization of the Hamiltonian principle, and the statement an solution of the inverse problem in vakonomic mechanics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52126312857873,"sku":"NLS9783319799353","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319799353.jpg?v=1757475343"},{"product_id":"new-advances-in-celestial-mechanics-and-hamiltonian-systems-book-joaqun-delgado-9781461347781","title":"New Advances in Celestial Mechanics and Hamiltonian Systems","description":"The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects. For PhD students, this meeting offered also the opportunity of personal contact to help themselves in their own research, to call as well and promote the attention of young researchers and graduated students from our scientific community to the above topics, which are nowadays of interest and relevance in Celestial Mechanics and Hamiltonian dynamics. A glance to the achievements in the area in the last century came as a consequence of joint discussions in the workshop sessions, new problems were presented and lines of future research were delineated. Specific discussion topics included: New periodic orbits and choreographies in the n-body problem, singularities in few body problems, central configurations, restricted three body problem, geometrical mechanics, dynamics of charged problems, area preserving maps and Arnold diffusion.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52337207968017,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52337208557841,"sku":"NLS9781461347781","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461347781.jpg?v=1758165902"},{"product_id":"central-configurations-periodic-orbits-and-hamiltonian-systems-book-jaume-llibre-9783034809320","title":"Central Configurations, Periodic Orbits, and Hamiltonian Systems","description":"The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second one, given by Richard Moeckel, focusses on methods for studying Central Configurations. The last one, by Carles Simó, describes the main mechanisms leading to a fairly global description of the dynamics in conservative systems.  The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52542858461457,"sku":"NLS9783034809320","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034809320.jpg?v=1760689498"},{"product_id":"introduction-to-the-qualitative-theory-of-differential-systems-book-jaume-llibre-9783034806565","title":"Introduction to the Qualitative Theory of Differential Systems","description":"The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. Moreover, these differential systems are symmetric with respect to the origin of coordinates. This class of systems driven by concrete applications is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is very appropriate for a first course in the qualitative theory of differential equations or dynamical systems, mainly for engineers, mathematicians, and physicists.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52663201497361,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52663202021649,"sku":"NLS9783034806565","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034806565.jpg?v=1762271402"},{"product_id":"dynamics-through-first-order-differential-equations-in-the-configuration-space-book-jaume-llibre-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? 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