Background
He is the son of the philosopher Guido Calogero. After his father was sentenced to national exile by fascist police, Francesco Calogero spent more than one year (1942) in Scanno, a small Italian village.
(A dynamical system is called isochronous if it features i...)
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.
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(This book focuses treatable This class on exactly many' b...)
This book focuses treatable This class on exactly many' body problems. does not include most We are therefore reminded "of physical problems. the of the man home late at after an alcoholic who, story returning night the for his under he was a knew, evening, scanning ground key lamppost; be that he had it somewhere but under the to sure, dropped else, only Yet was there to conduct a searcW' . light lamppost enough proper we feel the interest for such models is nowadays sufficiently widespread because of their their mathematical relevance and their multi beauty, farious that need be made for no our apologies applicative potential choice. In whoever undertakes to read this book will know from any case, its title what she is in for! Yet this title a of it some may require explanations: gloss (including its extended inside front follows. version, see cover) and nonrelativistic "Classical" we mean nonquantal (although By consider the which indeed some are Ruijsenaars Schneider models, treated in this relativistic versions as known, nonre book, of, previously lativistic is focussed see our on models; below): presentation mainly of whose time evolution is determined many body point particles systems Newtonian of motion to by equations (acceleration proportional force).
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He is the son of the philosopher Guido Calogero. After his father was sentenced to national exile by fascist police, Francesco Calogero spent more than one year (1942) in Scanno, a small Italian village.
After World World War II, Calogero graduated "laurea in fisica" cum laude at University of Rome Louisiana Sapienza, on February 1958.
He became Professor of Theoretical Physics, in the same university in 1976. Calogero"s scientific publications in English include four books and about 400 papers (about half with co-authors). His main research concerns integrable many-body problems.
Several solvable many-body models and nonlinear evolution partial differential equations (PDEs) are named after Calogero in the mathematical physics literature.
He also formulated the Calogero conjecture that quantum behavior is caused by the stochastic component of the local gravitational field due to the chaotic component of the motion of all particles of the Universe due to their mutual gravitational interaction. Calogero served as Secretary-General of Pugwash Conferences on Science and World Affairs from 1989 to 1997, and from 1997 to 2002 as chair of the Pugwash Council, of which he still is an "ex-officio" member.
He published (in Italian and English---some with co-authors) nearly 400 papers and several books on world affairs
(A dynamical system is called isochronous if it features i...)
(This book focuses treatable This class on exactly many' b...)
Served to Lieutenant Italian Air Force, 1958-1959. Member American Physical Society, American Mathematics Society, Federation American Scientists, Arms Control Association, Societá Italiana di Fisica, Unione Matematica Italiana, International Association Mathematics Physics.
Married Luisa Louisiana Malfa, June 14, 1959. Children: Anna, Paolo.