"Mecànica analítica." . . "Mecánica analítica" . "Sistemes dinàmics i control." . . "Teoria de la bifurcació." . . "Topológia dinamikus rendszer." . . "Théorie des catastrophes." . . "Mécanique statistique." . . "système dynamique." . . "théorie bifurcation." . . "Mathematische Methode." . . "équation différentielle ordinaire." . . "Dynamique différentiable." . . "Dynamique differentiable." . "équation différentielle." . . "Equacions diferencials ordinàries." . . "Catàstrofes, Teoria de les." . . "mécanique." . . "oscillation." . . "Catàstrofes (Matemàtiques)" . . "Dinamikus rendszer." . . "Dinamikus rendszer topológia." . . "Théorie de la bifurcation." . . "Singulariteiten." . . "Equacions diferencials." . . "Bifurcación, Teoría de la." . . "bifurcation (mathématiques) - théorie." . . "Statistical Physics, Dynamical Systems and Complexity." . . "Mecànica celest." . . "Bifurcation, Théorie de la." . . "Niet-lineaire systemen." . . "Globale analyse." . . "Verzweigung (Mathematik)" . . "Dinámica diferenciable." . . "Celestial mechanics." . . "Meccanica analitica." . . "théorie catastrophe." . . "particule." . . "théorie oscillation." . . "mathematics." . . "Mathematics." . "Mécanique céleste." . . "mécanique céleste." . "Catàstrofes (Matemàtica)" . . "Bifurkáció." . . "Bifurcation theory." . . "Dynamisches System" . . "Dynamisches System." . "Catastrofetheorie (wiskunde)" . . "Singularités (Mathématiques)" . . "Mécanique analytique." . . "Singularitats (Matemàtica)" . . "Káosz." . . "Sistemes dinàmics diferenciables." . . . . "Mechanik." . . "Teoria das catastrofes." . . "Teoria das catastrofes" . "groupe symétrie." . . "Global analysis (Mathematics)" . . "Mekanik, Analitik." . . "Astronomia teorica." . . "Bifurcació, Teoria de la." . . "Gökyüzü mekaniği." . . "réduction." . . "Teoria bifurkacji." . . "Sistemas Dinamicos." . . "Systèmes dynamiques." . . "Encyclopaedia of ..." . . "théorie perturbation." . . "Mathématiques Encyclopédies." . . "Topologia." . . "Teoria katastrof." . . "Differenciálegyenlet közönséges." . . "Analysis." . . "Bifurcatie." . . "Geometria simplèctica." . . "Mechanics, Analytic." . . "intégration." . . "Mathematik" . . "analytical geometry." . . . . "Dinamicheskie sistemy 5" . "Dinamicheskie sistemy 5"@en . . . . . . . . . . . . . . . . "Bifurcation theory and catastrophe theory" . "Bifurcation theory and catastrophe theory"@en . "Dynamical systems III" . . . . . . . . . . "Dynamical systems 5. Bifurcation theory and catastrophe theory / V. I. Arnol'd (ed.). [Transl. N. Kazarinoff]" . . "Dynamical systems. 5, Bifurcation theory and catastrophe theory" . . "Dynamical Systems III" . . . . . "Dynamical systems" . "Dynamical systems"@en . . . . . . "Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Moreover, understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to \"hot topics\", such as the characterization of personalities and the difference between a \"genius\" and a \"maniac\". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight."@en . . "Dinamiceskie sistemy" . . . . . . . "Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, Vol. 5, Dinamicheskie Sistemy 5"@en . "Dynamical systems 3. Mathematical Aspects of Classical and Celestial Mechanics" . . . . . . . "Dinamičeskie sistemy 3" . . . . . "Dinamiceskie sistemy 5" . . . . . "Dymamical systems V" . . . . . "Dinamicheskie sistemy--V" . . "Dynamical systems. 3, Mathematical aspects of classical and celestial mechanics" . . . . . . "Dynamical systems. 5., Bifurcation theory and catastrophe theory" . . . . . . . "Dinamičeskie sistemy 5" . . . . . . . . . . . . . . . . . . . . "Mathematical aspects of classical and celestial mechanics" . "Mathematical aspects of classical and celestial mechanics"@en . . "Dynamical Systems V Bifurcation Theory and Catastrophe Theory"@en . "Dynamical Systems V Bifurcation Theory and Catastrophe Theory" . . . . "Itogi nauki i tehniki. Sovremennye problemy matematiki. Fundamentalnye napravleniâ. Vol.5, Dinamičeskie sistemy 5" . . . . "Dynamical systems. 5, Bifurcation theory and catastrophe theory / V. I. Arnol'd (ed.)" . . . . . . "Dynamical systems 3. Mathematical aspects of classical and celestial mechanics / V. I. Arnold (ed.). [Authors V. I. Arnold ... Transl. A. Iacob]" . . . . . . . . . "Electronic books"@en . "Electronic books" . "Dynamical systems V" . "Dinamičeskie sistemy" . . . "Dynamical systems 5"@en . "Bifurcation theory and catastrophe theory"@en . "Aufsatzsammlung" . "Dinamičeskie sistemy 5" . . "This work describes the fundamental principles, problems, and methods of classical mechanics. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics, rather than its physical foundations or applications. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Chapter 2 presents the n-body problem as a generalization of the 2-body problem. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Chapter 4 contains a brief survey of various approaches to the problem of the integrability of the equations of motion. Chapter 5 is devoted to one of the most fruitful branches of mechanics - perturbation theory. Chapter 6 is related to chapters 4 and 5, and studies the theoretical possibility of integrating the equations of motion. Elements of the theory of oscillations are given in chapter 7. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The \"Encyclopaedia of Mathematical Sciences\" addresses all mathematicians, physicists and enigneers." . "Abhandlung" . . . . . . "Dynamical systems 5" . . "Bifurcation theory and catastrophe theory" . . . . . . . "Dinamicheskie sistemy 3" . . "Dinamicheskie sistemy 3"@en . . . "Dynamical systems five"@en . "Dynamical systems five" . . . "Dynamical systems. / V.I. Arnold (ed.)"@en . . . . . . . "Dynamical systems, 3: Mathematical aspects of classical and celestial mechanics"@en . . . . . . . . . . . . "Dynamical systems / III, Mathematical aspects of classical and celestial mechanics / V.I. Arnold (ed.)" . . . "Dynamical systems third" . . "Dynamical systems III : mathematical aspects of classical and celestial mechanics"@en . . . "Dynamical systems III : mathematical aspects of classical and celestial mechanics" . . . . . . . . . . "Dynamical systems. III, Mathematical aspects of classical and celestial mechanics"@en . "Dynamical systems 3. : mathematical aspects of classical and celestial mechanics" . . "Dinamicheskie sistemy--5" . "Dynamical systems. V, Bifurcation theory and catastrophe theory" . "Dynamical systems. III, Mathematical aspects of classical and celestial mechanics" . . . "Dynamical systems 3"@en . "Dynamical systems 3" . . . . . . . . . . . . . "Dynamical Systems" . "Dynamical systems V ; bifurcation theory and catastrophe theory" . . . . . . . . . . . . . . . . . . . . . . "Dinamicheskie sistemy" . "Dinamicheskie sistemy"@en . . . . . . . . . . . . . . . . . "Bifurcation Theory and Catastrophe Theory" . "Dynamical systems. 3, Mathematical aspects of classical and celestial mechanics / V. I. Arnold (ed.)" . "Dynamical systems. Vol. 5, Bifurcation theory and catastrophe theory" . . . . "Dynamical systems V : bifurcation theory and catastrophe theory"@en . . "Dynamical systems V : bifurcation theory and catastrophe theory" . . . . . . . . "Verzweigung <Mathematik>" . . "Catastrophes (Mathematics)" . . "variété." . . "Catástrofes (Matemáticas)" . . "Katastrophentheorie (Math.)" . . "Dynamische systemen." . . "Bifurkation (Math.)" . . "Katastrophentheorie." . . "Mecánica celeste" . . "Mecànica celeste." . "Théorie ergodique." . . "Catastrophes, Théorie des." . .