Deterministic Nonlinear Systems A Short Course /

This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects...

Full description

Main Authors: Anishchenko, Vadim S. (Author, http://id.loc.gov/vocabulary/relators/aut), Vadivasova, Tatyana E. (http://id.loc.gov/vocabulary/relators/aut), Strelkova, Galina I. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Springer Series in Synergetics,
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-06871-8
LEADER 04151nam a22006015i 4500
001 978-3-319-06871-8
003 DE-He213
005 20210620045205.0
007 cr nn 008mamaa
008 140616s2014 gw | s |||| 0|eng d
020 |a 9783319068718  |9 978-3-319-06871-8 
024 7 |a 10.1007/978-3-319-06871-8  |2 doi 
050 4 |a QC174.7-175.36 
072 7 |a PBWR  |2 bicssc 
072 7 |a SCI012000  |2 bisacsh 
072 7 |a PBWR  |2 thema 
072 7 |a PHDT  |2 thema 
082 0 4 |a 621  |2 23 
100 1 |a Anishchenko, Vadim S.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Deterministic Nonlinear Systems  |h [electronic resource] :  |b A Short Course /  |c by Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a XIV, 294 p. 172 illus., 2 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Springer Series in Synergetics,  |x 0172-7389 
505 0 |a From the Contents: Part I Dynamical Systems -- Stability of Dynamical Systems -- Linear Approach -- Bifurcations of Dynamical Systems -- Dynamical Systems With One Degree of Freedom -- Part II From Order to Chaos: Bifurcation Scenarios -- Robust and Nonrobust Dynamical Systems. Classification of Attractor Types -- Characteristics of Poincare Recurrences -- Fractals in Nonlinear Dynamics -- The Anishchenko–Astakhov Oscillator of Chaotic Self-Sustained Oscillations -- Quasiperiodic Oscillator with Two Independent Frequencies -- Synchronization of Periodic Self-Sustained Oscillations -- Synchronization of Two-Frequency Self-Sustained Oscillations.-Synchronization of Chaotic Oscillations -- References. 
520 |a This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems.  This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research. 
650 0 |a Statistical physics. 
650 0 |a Continuum physics. 
650 0 |a Vibration. 
650 0 |a Dynamical systems. 
650 0 |a Dynamics. 
650 0 |a Mathematical physics. 
650 1 4 |a Applications of Nonlinear Dynamics and Chaos Theory.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P33020 
650 2 4 |a Classical and Continuum Physics.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P2100X 
650 2 4 |a Vibration, Dynamical Systems, Control.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/T15036 
650 2 4 |a Mathematical Applications in the Physical Sciences.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M13120 
700 1 |a Vadivasova, Tatyana E.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Strelkova, Galina I.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319068725 
776 0 8 |i Printed edition:  |z 9783319068701 
776 0 8 |i Printed edition:  |z 9783319378527 
830 0 |a Springer Series in Synergetics,  |x 0172-7389 
856 4 0 |u https://doi.org/10.1007/978-3-319-06871-8 
912 |a ZDB-2-PHA 
912 |a ZDB-2-SXP 
950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715)