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Isochronous Systems
A dynamical system is called isochronous if it features in its phase space an open, fully-dimensional region where all its solutions are periodic in all its degrees of freedom with the same, fixed period. Recently a simple transformation has been introduced, applicable to quite a large class of dynamical systems, that yields autonomous systems which are isochronous. This justifies the notion that isochronous systems are not rare.In this book the procedure to manufacture isochronous systems is reviewed, and many examples of such systems are provided. Examples include many-body problems characterized by Newtonian equations of motion in spaces of one or more dimensions, Hamiltonian systems, and also nonlinear evolution equations (PDEs).The book shall be of interest to students and researchers working on dynamical systems, including integrable and nonintegrable models, with a finite or infinite number of degrees of freedom. It might be used as a basic textbook, or as backup material for an undergraduate or graduate course.
partial differential equations and applications
Written as a tribute to the mathematician Carlo Pucci on the occasion of his 70th birthday, this is a collection of authoritative contributions from over 45 internationally acclaimed experts in the field of partial differential equations. Papers discuss a variety of topics such as problems where a partial differential equation is coupled with unfavourable boundary or initial conditions, and boundary value problems for partial differential equations of elliptic type.
Zeros of Polynomials and Solvable Nonlinear Evolution Equations
Reporting a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs), this text includes practical examples throughout to illustrate the theoretical concepts. Beginning with systems of ODEs, including second-order ODEs of Newtonian type, it then discusses systems of PDEs, and systems evolving in discrete time. It reports a novel, differential algorithm which can be used to evaluate all the zeros of a generic polynomial of arbitrary degree: a remarkable development of a fundamental mathematical problem with a long history. The book will be of interest to applied mathematicians and mathematical physicists working in the area of integrable and solvable non-linear evolution equations; it can also be used as supplementary reading material for general applied mathematics or mathematical physics courses.
Confronting The Challenges Of The 21st Century - Proceedings Of The Forty-ninth Pugwash Conference On Science And World Affairs
In September 1999, scientists and scholars from around the world, concerned with reducing the danger of armed conflict and seeking cooperative solutions to global problems, met under the auspices of the Pugwash conferences, the Nobel-Prize-winning organization. The proceedings deal with a broad range of issues, including: a nuclear-weapon-free world; emerging security threats; development; environment; and international governance.
Superintegrability in Classical and Quantum Systems
Superintegrable systems are integrable systems (classical and quantum) that have more integrals of motion than degrees of freedom. Such systems have many interesting properties. This title is based on the Workshop on Superintegrability in Classical and Quantum Systems organized by the Centre de Recherches Mathematiques in Montreal (Quebec).
Bruno Touschek's Extraordinary Journey
This book tells the story of a unique scientific and human adventure, following the life and science of Bruno Touschek, an Austrian born physicist, who conceived and built AdA, the first matter-antimatter colliding-beam storage ring, the ancestor of the Large Hadron Collider at CERN where the Higgs Boson was discovered in 2012. Making extensive use of archival sources and personal correspondence, the author offers for the first time a unified history of European efforts to build modern-day particle accelerators, from the dark times of war-ravaged Europe up to the rebuilding of science in Germany, UK, Italy and France through the 1950s and early 1960s. This book, the result of several years of scholarly research work, includes numerous previously unpublished photos as well as original drawings by Bruno Touschek.
Superintegrability in Classical and Quantum Systems
Superintegrable systems are integrable systems (classical and quantum) that have more integrals of motion than degrees of freedom. Such systems have many interesting properties. This title is based on the Workshop on Superintegrability in Classical and Quantum Systems organized by the Centre de Recherches Mathematiques in Montreal (Quebec).
Integrable Systems and Algebraic Geometry
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Towards A Nuclear-weapon-free World - Proceedings Of The Forty-fifth Pugwash Conference On Science And World Affairs
In this volume, scientists write on the desirability and feasibility of eliminating nuclear weapons, including reflections 50 years after the destruction of Hiroshima and Nagasaki by atomic bombs. The following topics are discussed: strategies for preventing the proliferation of weapons of mass destruction; ways and means to monitor and control the arms trade; the need for global governance; specific aspects of security in the Asia-Pacific region; and interactions between the problems of meeting the world's energy demand, reducing environmental pollution, and promoting sustainable development.
