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

isochronous systems francesco calogero presents a new approach and results that support the notion that isochronous systems are not rare can be used as a textbook or as back up material for a university course

isochronous systems francesco calogero presents a new approach and results that support the notion that isochronous systems are not rare can be used as a textbook or as back up material for a university course

isochronous systems francesco calogero abstract a classical dynamical system is called isochronous if it features in its phase space an open fully dimensional sector where all its solutions are periodic in all their degrees of freedom with the same fixed period recently a simple

dr francesco calogero dipartimento di fisica universita di roma la sapienza rome italy calogero moser dynamical system is a one dimensional many body problem that can be explicitly solved for the treatment of isochronous systems see the book with this title listed below

isochronous systems c by calogero francesco and a great selection of related books art and collectibles available now at abebooks com

isochronous systems francesco calogero this book will 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

an isochronous system is introduced by modifying the nth ode of the stationary burgers hierarchy and then by investigating its behaviour near its equilibria neat diophantine relations are

in chapter 5 various tricks are introduced transforming hamiltonian systems into isochronous hamiltonian systems the possibility to apply this procedure to large classes of hamiltonian systems justifies the statement that isochronous hamiltonian systems are not rare several examples are discussed

citeseerx document details isaac councill lee giles pradeep teregowda a survey will be given of isochronous systems i e systems that oscillate with a fixed period for largely arbitrary initial data it will be shown how to manufacture many such models mainly many body problems whose time evolution is characterized by newtonian equations of motion

show summary details preview in chapter 6 reporting very recent findings although the main idea is not new autonomous dynamical systems are treated whose generic solutions approach asymptotically at large time isochronous evolutions namely all their dependent variables tend asymptotically to functions periodic with the same fixed period

francesco calogero certain nonlinearly coupled systems of n discrete time evolution equations are identified which can be solved by algebraic operations and some remarkable diophantine findings

abstract it is shown how given an arbitrary dynamical system other systems can be manufactured which are isochronous periodic in all their degrees of freedom with an arbitrarily assigned fixed period t and whose dynamics coincides exactly with that of the original system over a fraction 1 σ of that period where σ is a number that can be arbitrarily assigned in the range 0 lt σ lt 1

francesco calogero is a member of the editorial board of the eqworld website the world of mathematical equations investigation of the behavior of certain isochronous systems outside of their phased space region of isochronicity and of a mechanism to explain as travel over riemann

abstract it is shown how given an arbitrary dynamical system other systems can be manufactured which are isochronous periodic in all their degrees of freedom with an arbitrarily assigned fixed period t and whose dynamics coincides exactly with that of the original system over a fraction 1 σ of that period where σ is a number that can be arbitrarily assigned in the range 0 lt σ lt 1

isochronous systems are not rare francesco calogero april 21 2006 a dynamical system is called isochronous if it features an open hence fully dimensional region in its phase space in which all its solutions are completely periodic i e periodic in all degrees of freedom with the same

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

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

title isochronous systems by francesco calogero scope monograph level researcher authors shore k alan affiliation aa school of electronic engineering

by francesco calogero 2008 english pdf read online 1 4 mb download 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

francesco calogero italian theoretical physics educator 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

show summary details preview in chapter 4 the longer one in this book a lemma is first introduced and several isochronous systems of odes encompassed by it are treated one two three and multi dimensional isochronous systems of odes many of them interpretable as many body models are then discussed including several integrable and solvable variants of the quot goldfish quot many body

francesco calogero is an italian physicist active in the community of scientists concerned with nuclear disarmament 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 in scanno a small italian village

isochronous systems are not rare francesco calogero physics department university of rome i quot la sapienza quot istituto nazionale di fisica nucleare sezione di roma abstract a classical dynamical system is called isochronous if it features an open hence fully dimensional region in its

citeseerx document details isaac councill lee giles pradeep teregowda mechanisms are elucidated underlying the existence of dynamical systems whose generic solutions approach asymptotically at large time isochronous evolutions all their de pendent variables tend asymptotically to functions periodic with the same fixed period

isochronous systems francesco calogero this book will 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

calogero f leyvraz f how to extend any dynamical system so that it becomes isochronous asymptotically isochronous or multi periodic j nonlinear math phys 16 311 338 2009 crossref zbmath mathscinet google scholar

this quot cited by quot count includes citations to the following articles in scholar francesco calogero isochronous systems articles cited by title cited by year solution of the one dimensional n body problems with quadratic and or inversely quadratic pair potentials

mechanisms are elucidated underlying the existence of dynamical systems whose generic solutions approach asymptotically at large time isochronous evolutions all their dependent variables tend asymptotically to functions periodic with the same fixed period we focus on two such mechanisms emphasizing their generality and illustrating each of them