Statistical physics of synchronization. (2018)

• Record Type: Book
• Further Information: Note: Shamik Gupta, Alessandro Campa, Stefano Ruffo.
• Authors: Gupta, Shamik; Campa, Alessandro; Ruffo, Stefano
• Contents: Intro; Foreword; Preface; Contents; 1 Synchronizing Systems; 1.1 Introduction; 1.2 The Oscillators and Their Interaction: A Qualitative Discussion; 1.3 Oscillators as Limit Cycles; 1.4 Interacting Limit-Cycle Oscillators; 1.5 Synchronizing Systems as Statistical Mechanics Systems; 1.5.1 A Single Oscillator with Noise; 1.5.2 Oscillators in Interaction; 1.6 The Features of a Statistical Physics Description; 1.6.1 The Advantages of the Fokker-Planck Equation; 1.7 Some Results for Noiseless Interacting Oscillators; 1.7.1 The Kuramoto Solution; 1.7.2 The Ott-Antonsen Solution Appendix 2: Form of the Function r(K) for Symmetric and Unimodal Frequency Distributions in the Kuramoto ModelAppendix 3: The Numerical Solution of Eq. (2.34); References; 3 Oscillators with Second-Order Dynamics; 3.1 Generalized Kuramoto Model with Inertia and Noise; 3.1.1 Relation to Electrical Power Distribution Networks; 3.1.2 The Model as a Long-Range Interacting System; 3.1.3 Dynamics in a Reduced Parameter Space; 3.2 Nonequilibrium First-Order Synchronization Phase Transition: Simulation Results; 3.3 Analysis in the Continuum Limit: The Kramers Equation
• Publisher Details: Cham : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 530.13; Physics; Statistical physics; Synchronization; SCIENCE / Energy; SCIENCE / Mechanics / General; SCIENCE / Physics / General; Technology & Engineering -- General; Science -- Mathematical Physics; Cybernetics & systems theory; Mathematical physics; Engineering; Statistical physics; Electronic books
• Languages: English
• ISBNs: 9783319966649; 3319966642
• Related ISBNs: 9783319966632; 3319966634
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed August 31, 2018)
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.