Description

Book Synopsis
This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving. A historical review of the discovery and study of SNA, mathematical and physically-motivated examples, and a review of known experimental studies of SNA are presented. The main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical physics (bifurcation analysis, Lyapunov exponents, correlations and spectra, renormalization group). The relations of the subject to other fields of physics such as quantum chaos and solid state physics are also discussed.

Trade Review
"This book is written very precisely with a lot of illustrations. It is indispensable for physicists and mathematicians interested in the above stated dynamical systems and their SNA."Zentralblatt MATH"This is the first attempt to gather up all the work on this topic and present it in a unified way ... the book does an excellent job in outlining the main examples, results and connections to the literature and should be an invaluable tool for anyone wishing to find out about SNAs."Mathematical Reviews

Strange Nonchaotic Attractors: Dynamics Between

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A Hardback by Arkady S Pikovsky, Ulrike Feudel, Sergey P Kuznetsov

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    View other formats and editions of Strange Nonchaotic Attractors: Dynamics Between by Arkady S Pikovsky

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 26/04/2006
    ISBN13: 9789812566331, 978-9812566331
    ISBN10: 9812566333
    Also in:
    Chaos theory

    Description

    Book Synopsis
    This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving. A historical review of the discovery and study of SNA, mathematical and physically-motivated examples, and a review of known experimental studies of SNA are presented. The main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical physics (bifurcation analysis, Lyapunov exponents, correlations and spectra, renormalization group). The relations of the subject to other fields of physics such as quantum chaos and solid state physics are also discussed.

    Trade Review
    "This book is written very precisely with a lot of illustrations. It is indispensable for physicists and mathematicians interested in the above stated dynamical systems and their SNA."Zentralblatt MATH"This is the first attempt to gather up all the work on this topic and present it in a unified way ... the book does an excellent job in outlining the main examples, results and connections to the literature and should be an invaluable tool for anyone wishing to find out about SNAs."Mathematical Reviews

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