04783nam 22008175 450 991025460750332120220414172715.03-319-24886-310.1007/978-3-319-24886-8(CKB)3710000000521744(EBL)4182198(SSID)ssj0001585373(PQKBManifestationID)16264957(PQKBTitleCode)TC0001585373(PQKBWorkID)14865151(PQKB)10592906(DE-He213)978-3-319-24886-8(MiAaPQ)EBC4182198(PPN)190533420(EXLCZ)99371000000052174420151130d2016 u| 0engur|n|---|||||txtccrNonlinear resonances /by Shanmuganathan Rajasekar, Miguel A. F. Sanjuan1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (417 p.)Springer Series in Synergetics,0172-7389Description based upon print version of record.3-319-24884-7 Includes bibliographical references at the end of each chapters and index.Preface -- Harmonic and Nonlinear Resonances -- Stochastic Resonance -- Vibrational Resonance in Monostable Systems -- Vibrational Resonance in Multistable and Excitable Systems -- Vibrational and Stochastic Resonances in Spatially Periodic Systems -- Nonlinear and Vibrational Resonances in Time-Delayed Systems -- Signal Propagation in Unidirectionally Coupled -- Experimental Observation of Vibrational Resonance -- Ghost Resonances -- Parametric Resonance -- Autoresonance Resonance -- Slow Passage Through Resonance and Resonance Tongues -- Anti-Resonances -- Appendices.This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years. Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others. The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of resonant phenomena.Springer Series in Synergetics,0172-7389Statistical physicsVibrationDynamical systemsDynamicsComputational complexitySystem theoryElectronic circuitsApplications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Vibration, Dynamical Systems, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/T15036Complexityhttps://scigraph.springernature.com/ontologies/product-market-codes/T11022Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/M13090Circuits and Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/T24068Statistical physics.Vibration.Dynamical systems.Dynamics.Computational complexity.System theory.Electronic circuits.Applications of Nonlinear Dynamics and Chaos Theory.Vibration, Dynamical Systems, Control.Complexity.Complex Systems.Circuits and Systems.003Rajasekar Shanmuganathanauthttp://id.loc.gov/vocabulary/relators/aut598652Sanjuan Miguel A. Fauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254607503321Nonlinear Resonances2528316UNINA