WorldCat Identities

Llibre, Jaume

Overview
Works: 196 works in 441 publications in 6 languages and 4,859 library holdings
Genres: Conference papers and proceedings  Observations 
Roles: Author, Editor, Other, htt, Publishing director, Director, Contributor
Classifications: QA3, 514.322
Publication Timeline
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Most widely held works by Jaume Llibre
Qualitative theory of planar differential systems by Freddy Dumortier( )

20 editions published between 2006 and 2010 in English and held by 619 WorldCat member libraries worldwide

The book deals essentially with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability. In the last two chapters the performant software tool P4 is introduced: based on both algebraic manipulation and numerical calculation, this was conceived for the purpose of drawing "Polynomial Planar Phase Portraits" on part of the plane, or on a Poincaré compactification, or even on a Poincaré-Lyapunov compactification of the plane. From the start, differential systems are represented by vector fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, are introduced and the main results are proved for smooth systems with the necessary specifications for analytic and polynomial systems. The book is very appropriate for a first course in dynamical systems, presenting the basic notions in the study of individual two dimensional systems. Not only does it provide simple and appropriate proofs, but it also contains a lot of exercises and presents a survey of interesting results with the necessary references to the literature
Dynamics and Mission Design Near Libration Points - Vol I : Fundamentals by Jaume Llibre( )

1 edition published in 2001 in English and held by 438 WorldCat member libraries worldwide

In this book the problem of station keeping is studied for orbits near libration points in the solar system. The main focus is on orbits near halo ones in the (Earth+Moon)-Sun system. Taking as starting point the restricted three-body problem, the motion in the full solar system is considered as a perturbation of this simplified model. All the study is done with enough generality to allow easy application to other primary-secondary systems as a simple extension of the analytical and numerical computations. Contents: Bibliographical Survey; Halo Orbits. Analytical and Numerical Study; The Neigh
Dynamics and Mission Design Near Libration Points - Vol Ii : Fundamentals by Jaume Llibre( )

1 edition published in 2001 in English and held by 438 WorldCat member libraries worldwide

It is well known that the restricted three-body problem has triangular equilibrium points. These points are linearly stable for values of the mass parameter, æ, below Routh's critical value, æ 1 . It is also known that in the spatial case they are nonlinearly stable, not for all the initial conditions in a neighborhood of the equilibrium points L 4, L 5 but for a set of relatively large measures. This follows from the celebrated Kolmogorov-Arnold-Moser theorem. In fact there are neighborhoods of computable size for which one obtains "practical stability" in the sense that the massless partic
Inverse problems in ordinary differential equations and applications by Jaume Llibre( )

27 editions published between 2016 and 2018 in English and German and held by 418 WorldCat member libraries worldwide

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 R̂N 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
Introduction to the qualitative theory of differential systems : planar, symmetric and continuous piecewise linear systems by Jaume Llibre( )

21 editions published between 2013 and 2014 in 3 languages and held by 371 WorldCat member libraries worldwide

The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. 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 dynamics at infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is highly suitable for a first course in the qualitative theory of differential equations or dynamical systems, particularly for engineers, mathematicians, and physicists. --
Combinatorial dynamics and entropy in dimension one by Ll Alsedà( Book )

21 editions published between 1993 and 2000 in English and held by 300 WorldCat member libraries worldwide

"This book introduces the reader to two of the main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all periodic orbits of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.: it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of "chaos" present in it. A good way of doing this is to study the topological entropy of the system. The aim of this book is to provide graduate students and researchers with a unified and detailed exposition of these developments for interval and circle maps. The second edition contains two new appendices, where an extension of the theory to tree and graph maps is presented without technical proofs."--Jacket
Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations by Jaume Llibre( Book )

17 editions published between 1991 and 2014 in English and Italian and held by 297 WorldCat member libraries worldwide

The study is made of the foliations of the energy levels of a class of integrable Hamiltonian systems by the sets of constant energy and angular momentum, including a classification of the topological bifurcations and a dynamical characterization of the critical leaves (separatrix surfaces) of the foliation. Then, Hamiltonian perturbations of this class of integrable Hamiltonians are considered, and conditions are given for the persistence of the separatrix structure of the foliations, and for the existence of transversal ejection-collision orbits of the perturbed system. Finally, we consider a class of non-Hamiltonian perturbations of a family of integrable systems of the type studied before, and we prove the persistence of "almost all" the tori and cylinders that foliate the energy levels of the unperturbed system as a consequence of KAM theory
Extended abstracts Spring 2014 : Hamiltonian systems and celestial mechanics : virus dynamics and evolution( )

12 editions published in 2015 in English and held by 288 WorldCat member libraries worldwide

The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "Conference on Hamiltonian Systems and Celestial Mechanics 2014" (HAMSYS2014) (15 abstracts) and at the "Workshop on Virus Dynamics and Evolution" (12 abstracts), both held at the Centre de Recerca Matemàtica (CRM) in Barcelona from June 2nd to 6th, 2014, and from June 23th to 27th, 2014, respectively. Most of them are brief articles, containing preliminary presentations of new results not yet published in regular research journals. The articles are the result of a direct collaboration between active researchers in the area after working in a dynamic and productive atmosphere. The first part is about Central Configurations, Periodic Orbits and Hamiltonian Systems with applications to Celestial Mechanics - a very modern and active field of research. The second part is dedicated to mathematical methods applied to viral dynamics and evolution. Mathematical modelling of biological evolution currently attracts the interest of both mathematicians and biologists. This material offers a variety of new exciting problems to mathematicians and reasonably inexpensive mathematical methods to evolutionary biologists. It will be of scientific interest to both communities. The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research
Central configurations, periodic orbits, and Hamiltonian systems by Jaume Llibre( )

19 editions published in 2015 in English and held by 283 WorldCat member libraries worldwide

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
Structurally stable quadratic vector fields by Joan C Artés( Book )

13 editions published between 1988 and 2012 in English and Italian and held by 283 WorldCat member libraries worldwide

Qualitative analysis of the anisotropic Kepler problem by Josefina Casasayas( Book )

13 editions published between 1984 and 2012 in English and held by 263 WorldCat member libraries worldwide

This paper gives a qualitative analysis of the flow of the anisotropic Kepler problem described by a Hamiltonian system as introduced by Gutzwiller and later studied by Devaney
Structurally unstable quadratic vector fields of codimension one by Joan C Artés( )

15 editions published in 2018 in English and held by 230 WorldCat member libraries worldwide

"Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors' work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them." -- Back cover
Hamiltonian systems and celestial mechanics by E. A Lacomba( Book )

12 editions published in 1993 in English and held by 123 WorldCat member libraries worldwide

The Spring-Pendulum System / M. Alvarez and J. Delgado -- Stability of Blocks of Compact Orbits of an Action of R[superscript 2] on M[superscript 3] / J. L. Arraut and M. Craizer -- A Remark on a Conjecture of Arnold: Linking of Spheres and Fixed Points / A. Banyaga and C. Gole -- On Jacobi Coordinates in the Three-Body Problem / H. E. Cabral -- Transversal Homoclinic Orbits for a Class of Hamiltonians / J. Casasayas, E. Fontich and A. Nunes -- Knotted Periodic Orbits and Integrability / J. Casasayas, J. Martinez Alfaro and A. Nunes -- Time-Dependent Linear Lagrangians: The Inverse Problem, Symmetries and Constants of Motion / M. de Leon and J. C. Marrero -- Poincare Compactification of the Collinear Three-Body Problem / J. Delgado, E. A. Lacomba, J. Llibre and E. Perez -- Asymptotic Behaviour Near Parabolic Fixed Points for a Class of Reversible Maps / E. Fontich -- Symmetry Lines in the Stormer Problem / L. Jimenez Lara and E. Pina -- Global Flow of the Rotating Kepler Problem / J. Llibre and J. Soler -- Hamiltonian Flows on Supermanifolds / F. Ongay -- The Non-Symmetric Top / E. Pina -- The Stability Transition Curve At L[subscript 4] in the Elliptic Restricted Problem of Three Bodies / D. Schmidt -- Horseshoe Mapping and Collision Orbits in the Restricted Three-Body Problem / M. Sekiguchi and K. Tanikawa -- A Heteroclinic Map and the Oscillatory Capture, Escape Motions in the Three-Body Problem / Z. H. Xia
New trends for Hamiltonian systems and celestial mechanics : Mexico, 13-17 September 1994 by International Symposium on Hamiltonian Systems and Celestial Mechanics( Book )

7 editions published in 1996 in English and held by 88 WorldCat member libraries worldwide

"This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject. Their relationship to several aspects of topology, mechanics and dynamical systems in general are also emphasized. The papers presented are an outgrowth of the lectures that took place during the “International Symposium on Hamiltonian Systems and Celestial Mechanics ”, which was held at Cocoyoc (Morelos, México) from September 13 to 17, 1994."--Publisher's website
New advances in celestial mechanics and Hamiltonian systems by J Delgado( )

4 editions published in 2004 in English and held by 81 WorldCat member libraries worldwide

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
Qualitative analysis of the anisotropic Kepler problem by Josefina Casasayas( Book )

3 editions published in 1984 in English and held by 19 WorldCat member libraries worldwide

Òrbites periòdiques dels sistemes Hamiltonians amb dos graus de llibertat via homeomorfismes de superfície by Jaume Llibre( Book )

3 editions published in 2002 in Catalan and Spanish and held by 13 WorldCat member libraries worldwide

Càlcul de longituds, àrees i volums comptant punts by Jaume Llibre( Book )

3 editions published in 2005 in Catalan and held by 10 WorldCat member libraries worldwide

El Tangram de los ocho elementos by Jaume Llibre( Book )

4 editions published in 1977 in Spanish and Catalan and held by 9 WorldCat member libraries worldwide

New trends for hamiltonian systems and celestial mechanics by E. A Lacomba( )

3 editions published in 1996 in English and held by 8 WorldCat member libraries worldwide

 
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WorldCat IdentitiesRelated Identities
Qualitative theory of planar differential systems
Covers
Dynamics and Mission Design Near Libration Points - Vol I : FundamentalsDynamics and Mission Design Near Libration Points - Vol Ii : FundamentalsCombinatorial dynamics and entropy in dimension oneNew trends for Hamiltonian systems and celestial mechanics : Mexico, 13-17 September 1994New advances in celestial mechanics and Hamiltonian systemsNew trends for hamiltonian systems and celestial mechanics
Alternative Names
Jaume Llibre matemàtic i professor català

Jaume Llibre matemático español

Jaume Llibre matematico spagnolo

Jaume Llibre matemáticu español

Jaume Llibre matematikan spanjoll

Jaume Llibre mathématicien espagnol

Jaume Llibre Spaans hoogleraar

Jaume Llibre Spanish mathematician

Llibre i Saló, Jaume.

Llibre i Saló, Jaume 1952-

Llibre, J.

Llibre, J. 1952-

Llibre, J. (Jaume)

Llibre Saló, Jaume

Llibre Saló, Jaume 1952-

Saló, Jaume Llibre

Saló, Jaume Llibre 1952-

Saló, Jaume Llibre i.

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