Shortcuts
Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

Statistical Physics of Synchronization

Statistical Physics of Synchronization
British LibraryResolver for RSN-50548
Catalogo Nazionale SBNResolver for RSN-50548
WorldCat Resolver for RSN-50548
Google ScholarResolver for RSN-50548
GoogleBooksResolver for RSN-50548
ICTP LibraryResolver for RSN-50548
.
Share Link
Catalogue Information
Field name Details
Dewey Class 530.1
Title Statistical Physics of Synchronization (M) / Shamik Gupta, Alessandro Campa, Stefano Ruffo
Author Gupta, Shamik
Added Personal Name Campa, Alessandro
Ruffo, Stefano
Publication Cham : Springer International Publishing , 2018
Physical Details xvi, 121 pages : ill. ; 24 cm.
Series SpringerBriefs in Complexity
ISBN 9783319966632
Summary Note This book introduces and discusses the analysis of interacting many-body complex systems exhibiting spontaneous synchronization from the perspective of nonequilibrium statistical physics. While such systems have been mostly studied using dynamical system theory, the book underlines the usefulness of the statistical physics approach to obtain insightful results in a number of representative dynamical settings. Although it is intractable to follow the dynamics of a particular initial condition, statistical physics allows to derive exact analytical results in the limit of an infinite number of interacting units. Chapter one discusses dynamical characterization of individual units of synchronizing systems as well as of their interaction and summarizes the relevant tools of statistical physics. The latter are then used in chapters two and three to discuss respectively synchronizing systems with either a first- or a second-order evolution in time. This book provides a timely introduction to the subject and is meant for the uninitiated as well as for experienced researchers working in areas of nonlinear dynamics and chaos, statistical physics, and complex systems:
Contents note Synchronizing systems -- Introduction -- The oscillators and their interaction: A qualitative discussion -- Oscillators as limit cycles -- Interacting limit-cycle oscillators -- Synchronizing systems as statistical mechanical systems -- The features of a statistical physical description -- Some results for noiseless interacting oscillators -- The oscillators with inertia -- Appendix 1: A two-dimensional dynamics with a limit-cycle attractor -- Appendix 2: The Lyapunov exponents -- Appendix 3: The one-body distribution function in an N-body system -- Oscillators with first-order dynamics -- The oscillators with distributed natural frequencies -- The Kuramoto model -- Unimodal symmetric g(w) -- Nonunimodal g(w) -- Appendix 1: An H-theorem for a particular simple case -- Appendix 2: Form of the function r(K) for symmetric and unimodal frequency distributions in the Kuramoto model -- Appendix 3: The numerical solution of Eq. (2.34) -- Oscillators with second-order dynamics -- Generalized Kuramoto model with inertia and noise -- Nonequilibrium first-order synchronization phase transition: Simulation results -- Analysis in the continuum limit: The Kramers equation -- Phase diagram: Comparison with numeric -- Appendix 1: The noiseless Kuramoto model with inertia: Connection with electrical power distribution models -- Appendix 2: Proof that the dynamics (3.9) does not satisfy detailed balance -- Appendix 3: Simulation details for the dynamics (3.9) -- Appendix 4: Derivation of the Kramers equation -- Appendix 5: Nature of solutions of Eq. (3.32) -- Appendix 6: Solution of the system of equations (3.39) -- Appendix 7: Convergence properties of the expansion (3.38).
Links to Related Works
Subject References:
Authors:
Series:
Classification:
.
ISBD Display Catalogue Record 50548
.
Tag Display Catalogue Record 50548
.
Related Works Catalogue Record 50548
.
Marc XML Catalogue Record 50548
.
Add Title to Basket Catalogue Record 50548
.
Catalogue Information 50548 Beginning of record . Catalogue Information 50548 Top of page .
Item Information
Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000044372 531.19 GUP
 General   SISSA . . Available .  
Download Title Catalogue Record 50548
. Catalogue Record 50548 ItemInfo Beginning of record . Catalogue Record 50548 ItemInfo Top of page .
Most Popular Titles
# Author Title
1 . Jost, Jürgen 1956- 1 . Nonpositive curvature: geometric and analytic aspects 1
2 . Jost, Jürgen 1956- 2 . Calculus of variations 2
3 . Jost, Jürgen 1956- 3 . Harmonic maps between surfaces: with a special chapter on conformal mappings 3
4  . Geometric analysis and the calculus of variations for Stefan Hildebrandt 4
5 . Jost, Jürgen 1956- 5 . Compact Riemann surfaces: an introduction to contemporary mathematics 5
.

Reviews


This item has not been rated.    Add a Review and/or Rating50548
Quick Search