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Cybernetical Physics : From Control of Chaos to Quantum Control, PDF eBook

Cybernetical Physics : From Control of Chaos to Quantum Control PDF

Part of the Understanding Complex Systems series

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Description

In 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".

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