Nature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems are subject to the fluctuations of their environments and also to internal fluctuations. It is nonlinear in the sense that the restoring force on a system displaced from equilibrium does not usually vary linearly with the size of the displacement. To calculate the properties of stochastic (noisy) nonlinear systems is in general extremely difficult, although considerable progress has been made in the past. The three volumes that make up Noise in Nonlinear Dynamical Systems comprise a collection of specially written authoritative reviews on all aspects of the subject, representative of all the major practitioners in the field. The second volume applies the theory of Volume 1 to the calculation of the influence of noise in a variety of contexts. These include quantum mechanics, condensed matter, noise induced transitions, escape processes and transition probabilities, systems with periodic potentials, discrete nonlinear systems, symmetry-breaking transition, and optics.

Nature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems are subject to the fluctuations of their environments and also to internal fluctuations. It is nonlinear in the sense that the restoring force on a system displaced from equilibrium does not usually vary linearly with the size of the displacement. To calculate the properties of stochastic (noisy) nonlinear systems is in general extremely difficult, although considerable progress has been made in the past. The three volumes that make up Noise in Nonlinear Dynamical Systems comprise a collection of specially written authoritative reviews on all aspects of the subject, representative of all the major practitioners in the field. The third volume deals with experimental aspects of the study of noise in nonlinear dynamical systems. It covers noise-driven phenomena in superfluid helium, liquid crystals, lasers and optical bistability as well as the solution of stochastic equations by digital simulation and analogue experiment.

Nature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems are subject to the fluctuations of their environments and also to internal fluctuations. It is nonlinear in the sense that the restoring force on a system displaced from equilibrium does not usually vary linearly with the size of the displacement. To calculate the properties of stochastic (noisy) nonlinear systems is in general extremely difficult, although considerable progress has been made in the past. The three volumes that make up Noise in Nonlinear Dynamical Systems comprise a collection of specially written authoritative reviews on all aspects of the subject, representative of all the major practitioners in the field. The first volume deals with the basic theory of stochastic nonlinear systems. It includes an historical overview of the origins of the field, chapters covering some developed theoretical techniques for the study of coloured noise, and the first English-language translation of the landmark 1933 paper by Pontriagin, Andronov and Vitt.

Title: The American Metropolis from Knickerbocker days to the present time: New York City life in all its various phases ... Illustrated.Publisher: British Library, Historical Print EditionsThe British Library is the national library of the United Kingdom. It is one of the world's largest research libraries holding over 150 million items in all known languages and formats: books, journals, newspapers, sound recordings, patents, maps, stamps, prints and much more. Its collections include around 14 million books, along with substantial additional collections of manuscripts and historical items dating back as far as 300 BC.The HISTORY OF COLONIAL NORTH AMERICA collection includes books from the British Library digitised by Microsoft. This collection refers to the European settlements in North America through independence, with emphasis on the history of the thirteen colonies of Britain. Attention is paid to the histories of Jamestown and the early colonial interactions with Native Americans. The contextual framework of this collection highlights 16th century English, Scottish, French, Spanish, and Dutch expansion. ++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ British Library Moss, Frank; 1897. 3 vol.; 8 . 10413.d.8.

Title: The American Metropolis from Knickerbocker days to the present time: New York City life in all its various phases ... Illustrated.Publisher: British Library, Historical Print EditionsThe British Library is the national library of the United Kingdom. It is one of the world's largest research libraries holding over 150 million items in all known languages and formats: books, journals, newspapers, sound recordings, patents, maps, stamps, prints and much more. Its collections include around 14 million books, along with substantial additional collections of manuscripts and historical items dating back as far as 300 BC.The GENERAL HISTORICAL collection includes books from the British Library digitised by Microsoft. This varied collection includes material that gives readers a 19th century view of the world. Topics include health, education, economics, agriculture, environment, technology, culture, politics, labour and industry, mining, penal policy, and social order. ++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ British Library Moss, Frank; 1897. 3 vol.; 8 . 10413.d.8.

Title: The American Metropolis from Knickerbocker days to the present time: New York City life in all its various phases ... Illustrated.Publisher: British Library, Historical Print EditionsThe British Library is the national library of the United Kingdom. It is one of the world's largest research libraries holding over 150 million items in all known languages and formats: books, journals, newspapers, sound recordings, patents, maps, stamps, prints and much more. Its collections include around 14 million books, along with substantial additional collections of manuscripts and historical items dating back as far as 300 BC.The GENERAL HISTORICAL collection includes books from the British Library digitised by Microsoft. This varied collection includes material that gives readers a 19th century view of the world. Topics include health, education, economics, agriculture, environment, technology, culture, politics, labour and industry, mining, penal policy, and social order. ++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ British Library Moss, Frank; 1897. 3 vol.; 8 . 10413.d.8.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

Computational modeling of cooperative dynamics in excitable systems is important for uncovering mechanisms that underlie perturbation propagation in the nervous system. In this dissertation, two spatially extended networks of FitzHugh-Nagumo neurons operating in the subexcitable and hyperexcitable regime are studied by computational methods, leading to two key conclusions. First, the length and speed of perturbation propagation in the subexcitable FitzHugh-Nagumo system is maximized by spatiotemporal noise of optimal intensity. This indicates that random fluctuations in neuronal excitability can enhance perturbation propagation in the nervous system. Second, defining novel measures to characterize the synchronization of hyperexcitable FitzHugh-Nagumo oscillator networks for various strengths of phase- attractive and phase-repulsive coupling, significant differences in calcium dynamics can be shown between astrocyte cultures originating from epileptic and normal brain tissue.

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.