Jaume Llibre's Books

Authoring the Past

History, Autobiography, and Politics in Medieval Catalonia

By: Jaume Aurell

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Authoring the Past

History, Autobiography, and Politics in Medieval Catalonia

By: Jaume Aurell

Authoring the Past surveys medieval Catalan historiography, shedding light on the emergence and evolution of historical writing and autobiography in the Middle Ages, on questions of authority and authorship, and on the links between history and politics during the period. Jaume Aurell examines texts from the late twelfth to the late fourteenth century—including the Latin Gesta comitum Barcinonensium and four texts in medieval Catalan: James I’s Llibre dels fets, the Crònica of Bernat Desclot, the Crònica of Ramon Muntaner, and the Crònica of Peter the Ceremonious—and outlines the different motivations for the writing of each. For Aurell, these chronicles are not mere archaeological artifacts but rather documents that speak to their writers’ specific contemporary social and political purposes. He argues that these Catalonian counts and Aragonese kings were attempting to use their role as authors to legitimize their monarchical status, their growing political and economic power, and their aggressive expansionist policies in the Mediterranean. By analyzing these texts alongside one another, Aurell demonstrates the shifting contexts in which chronicles were conceived, written, and read throughout the Middle Ages. The first study of its kind to make medieval Catalonian writings available to English-speaking audiences, Authoring the Past will be of interest to scholars of history and comparative literature, students of Hispanic and Romance medieval studies, and medievalists who study the chronicle tradition in other languages.

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329

Publisher

University of Chicago Press

Published Date

ISBN 10

0226032345

ISBN 13

9780226032344

Dynamics through First-Order Differential Equations in the Configuration Space

By: Jaume Llibre,Rafael Ramírez,Valentín Ramírez

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Dynamics through First-Order Differential Equations in the Configuration Space

By: Jaume Llibre,Rafael Ramírez,Valentín Ramírez

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.

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360

Publisher

Springer Nature

Published Date

ISBN 10

3031270959

ISBN 13

9783031270956

Medieval Self-Coronations

The History and Symbolism of a Ritual

By: Jaume Aurell

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Medieval Self-Coronations

The History and Symbolism of a Ritual

By: Jaume Aurell

Based on narrative, iconographical, and liturgical sources, this is the first systematic study to trace the story of the ritual of royal self-coronations from Ancient Persia to the present. Exposing as myth the idea that Napoleon's act of self-coronation in 1804 was the first extraordinary event to break the secular tradition of kings being crowned by bishops, Jaume Aurell vividly demonstrates that self-coronations were not as transgressive or unconventional as has been imagined. Drawing on numerous examples of royal self-coronations, with a particular focus on European Kings of the Middle Ages, including Frederic II of Germany (1229), Alphonse XI of Castile (1328), Peter IV of Aragon (1332) and Charles III of Navarra (1390), Aurell draws on history, anthropology, ritual studies, liturgy and art history to explore royal self-coronations as privileged sites at which the frontiers and limits between the temporal and spiritual, politics and religion, tradition and innovation are encountered.

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355

Publisher

Cambridge University Press

Published Date

ISBN 10

1108889824

ISBN 13

9781108889827

Kosovo and the Collateral Effects of Humanitarian Intervention

By: Jaume Castan Pinos

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Kosovo and the Collateral Effects of Humanitarian Intervention

By: Jaume Castan Pinos

Humanitarian intervention is rising ever higher in international relations discourse, with many publications exploring the nature, legality and success of these interventions. However, less attention is given to what happens after an intervention. This book looks in particular at the implications for territorial and border relations, exploring the case of Kosovo, which in many ways can be seen as a turning point in post-cold war international humanitarian intervention. The 1999 intervention has had significant consequences for Kosovo in terms of political transformations, territorial alterations and enclavisation, none of which was officially intended or foreseen when NATO intervened. Two decades after NATO’s intervention and a decade after unilaterally declaring independence, Kosovo continues to be confronted with daunting existential challenges that inevitably affect the stability of the region, border relations, and the credibility of the organisations operating within Kosovo, namely the UN, the EU and NATO. The book claims that not only is the political and territorial conflict far from being settled, but that the implications have gone beyond Kosovo, creating shock waves which have galvanised conflicts elsewhere. In effect, Kosovo has been used as a pretext, as a legitimation and as an inspiration for those who aspire to challenge the border status quo. The book is primarily aimed at undergraduate and postgraduate students of International Relations and Political Science and as well as Border Studies scholars, but will also appeal to researchers focusing on state-building, peace-building, humanitarian studies, nationalism/secessionism and Balkan studies.

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Page Count

226

Publisher

Routledge

Published Date

ISBN 10

1351374761

ISBN 13

9781351374767

Qualitative Theory of Planar Differential Systems

By: Freddy Dumortier,Jaume Llibre,Joan C. Artés

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Qualitative Theory of Planar Differential Systems

By: Freddy Dumortier,Jaume Llibre,Joan C. Artés

This book deals 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. 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.

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309

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540329021

ISBN 13

9783540329022

Howppiness

By: Jaume Batlle i Perales

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Howppiness

By: Jaume Batlle i Perales

Engineers focus on improving and optimizing. So maybe it was about time an engineer said something about happiness. And you are going to like it! Happiness is a tool at your service. Learn how it works and put it to work for you, to your best convenience. Find a full spectrum of the questions that most relate to well-being so that you can easily cook your own recipe for happiness and increase your smiling rates and well-being. This book can help you answer the following questions: - What is happiness? - What components can we find in our well-being? - What is the biological function of happiness? - What is the relationship between money and happiness? - How does our professional career relate to happiness? - What do we need to be happy? - How should altruism be understood? - Does it pay to be altruistic? - What are the main characteristics of love? - How do love and happiness relate? - Does love vanish with time? - How can I improve my life? - What do I need to do to be happier? You have got the answers in your hands! Read, improve, optimize, and be happier!

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Page Count

233

Publisher

Author House

Published Date

ISBN 10

1481792903

ISBN 13

9781481792905

Central Configurations, Periodic Orbits, and Hamiltonian Systems

By: Jaume Llibre,Richard Moeckel,Carles Simó

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Central Configurations, Periodic Orbits, and Hamiltonian Systems

By: Jaume Llibre,Richard Moeckel,Carles Simó

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.

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Page Count

240

Publisher

Birkhäuser

Published Date

ISBN 10

3034809336

ISBN 13

9783034809337

Qualitative Theory of Planar Differential Systems

By: Freddy Dumortier,Jaume Llibre,Joan C. Artés

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Qualitative Theory of Planar Differential Systems

By: Freddy Dumortier,Jaume Llibre,Joan C. Artés

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309

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Springer Science & Business Media

Published Date

ISBN 10

3540329021

ISBN 13

9783540329022

Structurally Unstable Quadratic Vector Fields of Codimension One

By: Joan C. Artés,Jaume Llibre,Alex C. Rezende

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Structurally Unstable Quadratic Vector Fields of Codimension One

By: Joan C. Artés,Jaume Llibre,Alex C. Rezende

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.

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272

Publisher

Springer

Published Date

ISBN 10

3319921177

ISBN 13

9783319921174

Qualitative Analysis of the Anisotropic Kepler Problem

By: Josefina Casasayas,Jaume Llibre

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Qualitative Analysis of the Anisotropic Kepler Problem

By: Josefina Casasayas,Jaume Llibre

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.

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Page Count

126

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821823094

ISBN 13

9780821823095

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

A Global Classification in the Quadratic Case

By: Joan C. Artés,Jaume Llibre,Dana Schlomiuk,Nicolae Vulpe

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Geometric Configurations of Singularities of Planar Polynomial Differential Systems

A Global Classification in the Quadratic Case

By: Joan C. Artés,Jaume Llibre,Dana Schlomiuk,Nicolae Vulpe

This book addresses the global study of finite and infinite singularities of planar polynomial differential systems, with special emphasis on quadratic systems. While results covering the degenerate cases of singularities of quadratic systems have been published elsewhere, the proofs for the remaining harder cases were lengthier. This book covers all cases, with half of the content focusing on the last non-degenerate ones. The book contains the complete bifurcation diagram, in the 12-parameter space, of global geometrical configurations of singularities of quadratic systems. The authors’ results provide - for the first time - global information on all singularities of quadratic systems in invariant form and their bifurcations. In addition, a link to a very helpful software package is included. With the help of this software, the study of the algebraic bifurcations becomes much more efficient and less time-consuming. Given its scope, the book will appeal to specialists on polynomial differential systems, pure and applied mathematicians who need to study bifurcation diagrams of families of such systems, Ph.D. students, and postdoctoral fellows.

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Page Count

699

Publisher

Springer Nature

Published Date

ISBN 10

3030505707

ISBN 13

9783030505707

Structurally Stable Quadratic Vector Fields

By: Joan C. Artés,Robert E. Kooij,Jaume Llibre

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Structurally Stable Quadratic Vector Fields

By: Joan C. Artés,Robert E. Kooij,Jaume Llibre

This book solves a problem that has been open for over 20 years--the complete classification of structurally stable quadratic vector fields modulo limit cycles. The authors give all possible phase portraits for such structurally stable quadratic vector fields. No index. Annotation copyrighted by Book News, Inc., Portland, OR

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122

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082180796X

ISBN 13

9780821807965

Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations

By: Jaume Llibre,Ana Nunes

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Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations

By: Jaume Llibre,Ana Nunes

This work presents a study of the foliations of the energy levels of a class of integrable Hamiltonian systems by the sets of constant energy and angular momentum. This includes a classification of the topological bifurcations and a dynamical characterization of the criticalleaves (separatrix surfaces) of the foliation. Llibre and Nunes then consider Hamiltonain perturbations of this class of integrable Hamiltonians and give conditions for the persistence of the separatrix structure of the foliations and for the existence of transversal ejection-collision orbits of the perturbed system. Finally, they consider a class of non-Hamiltonian perturbations of a family of integrable systems of the type studied earlier and 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.

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206

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082182581X

ISBN 13

9780821825815

Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations

By: Jaume Llibre

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Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations

By: Jaume Llibre

This work presents a study of the foliations of the energy levels of a class of integrable Hamiltonian systems by the sets of constant energy and angular momentum. This includes a classification of the topological bifurcations and a dynamical characterization of the criticalleaves (separatrix surfaces) of the foliation. Llibre and Nunes then consider Hamiltonain perturbations of this class of integrable Hamiltonians and give conditions for the persistence of the separatrix structure of the foliations and for the existence of transversal ejection-collision orbits of the perturbed system. Finally, they consider a class of non-Hamiltonian perturbations of a family of integrable systems of the type studied earlier and 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.

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206

Published Date

ISBN 10

1470400901

ISBN 13

9781470400903

The Catalan Process

Sovereignty, Self-Determination and Democracy in the 21st Century

By: Albert Branchadell,Laura Cappuccio,Alain-G. Gagnon,Jaume López,Hèctor López Bofill,Lluís Pérez,Ferran Requejo,Marc Sanjaume-Calvet,Ivan Serrano,Michel Seymour,Neus Torbisco

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The Catalan Process

Sovereignty, Self-Determination and Democracy in the 21st Century

By: Albert Branchadell,Laura Cappuccio,Alain-G. Gagnon,Jaume López,Hèctor López Bofill,Lluís Pérez,Ferran Requejo,Marc Sanjaume-Calvet,Ivan Serrano,Michel Seymour,Neus Torbisco

Aquest llibre vol ajudar al lector a entendre i interpretar els esdeveniments polítics de la història recent de Catalunya. El llibre també mostra que el procés té una pertinència política que va més enllà del context espanyol català i es refereix a punts clau pel que fa a la interacció de democràcia, sobirania i estatisme al segle XXI.

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338

Publisher

Generalitat de Catalunya - Institut d'Estudis de l'Autogovern

Published Date

ISBN 10

8439396120

ISBN 13

9788439396123

Authoring the Past

History, Autobiography, and Politics in Medieval Catalonia

By: Jaume Aurell i Cardona

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Authoring the Past

History, Autobiography, and Politics in Medieval Catalonia

By: Jaume Aurell i Cardona

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Page Count

329

Publisher

University of Chicago Press

Published Date

ISBN 10

0226032329

ISBN 13

9780226032320

Book's by Jaume Llibre

Authoring the Past

Authoring the Past

Dynamics through First-Order Differential Equations in the Configuration Space

Dynamics through First-Order Differential Equations in the Configuration Space

Medieval Self-Coronations

Medieval Self-Coronations

Kosovo and the Collateral Effects of Humanitarian Intervention

Kosovo and the Collateral Effects of Humanitarian Intervention

Qualitative Theory of Planar Differential Systems

Qualitative Theory of Planar Differential Systems

Howppiness

Howppiness

Central Configurations, Periodic Orbits, and Hamiltonian Systems

Central Configurations, Periodic Orbits, and Hamiltonian Systems

Qualitative Theory of Planar Differential Systems

Qualitative Theory of Planar Differential Systems

Structurally Unstable Quadratic Vector Fields of Codimension One

Structurally Unstable Quadratic Vector Fields of Codimension One

Qualitative Analysis of the Anisotropic Kepler Problem

Qualitative Analysis of the Anisotropic Kepler Problem

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

Structurally Stable Quadratic Vector Fields

Structurally Stable Quadratic Vector Fields

Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations

Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations

Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations

Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations

The Catalan Process

The Catalan Process

Authoring the Past

Authoring the Past

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