{"product_id":"9783540462750","title":"Understanding Complex Systems: From Control of Chaos to Quantum Control","description":"\u003ch1\u003eUnderstanding Complex Systems: From Control of Chaos to Quantum Control\u003c\/h1\u003e \u003ch2\u003eFradkov, A.\u003c\/h2\u003e \u003cp\u003eIn this book a number of ideas and results related to the ?eld of cybern- ical physics – the scienti?c area aimed at the study of physical systems by cybernetical means – are presented. Although some publications in physical journals related to control problems appeared long ago, formation of a se- rateself-sustainedareastartedaslateasinthe1990sduetotheexplosion-like developmentofresearchincontrolofchaos,quantumcontrol,andotherareas. The number of publications has reached several thousands by the end of the century and it continues to grow very rapidly. This book is, perhaps, the ?rst attempt to present a uni?ed exposition of the subject and methodology of cybernetical physics as well as solutions to some of its problems. A part of this book presents the limits of system transformation by means of control both for conservative and for dissipative systems based on Hamiltonian description of system dynamics. A survey of various control applications in physics is given: control of chaos, controlled synchronization, control of spatiotemporal systems, control ofmolecularandquantumsystems.Anapproachforbuildingmodelsofsystem dynamics based on control methods is discussed. The presented methods and results are illustrated by examples of new approaches to classical problems: Stephenson–Kapitsa pendulum, escape from a potential well, synchronization of coupled oscillators, control of chemical reaction with phase transition, c- trolled dissociation of molecules, controlled oscillations of complex crystalline lattices. Controlled pendulums appear in many parts of the book since p- dulum models can be thought of as the “atoms of nonlinear physics”.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2007-01-04\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540462750\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-540-46277-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 236\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45382480560268,"sku":"9783540462750","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540462750.jpg?v=1774496284","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540462750","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}