Continuous and discontinuous piecewise-smooth one-dimensional maps : invariant sets and bifurcation structures /

"Although the dynamic behavior of piecewise-smooth systems is still far from being understood completely, some significant results in this field have been achieved in the last twenty years. The investigation of these systems is important not only because they represent adequate models for many...

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Bibliographic Details
Main Authors: Avrutin, Viktor
Group Author: Gardini, L. Laura; Sushko, Irina, 1967; Tramontana, Fabio, 1979
Published: World Scientific,
Publisher Address: Singapore :
Publication Dates: [2019]
Literature type: Book
Language: English
Series: World Scientific series on nonlinear science. volume 95
Subjects:
Summary: "Although the dynamic behavior of piecewise-smooth systems is still far from being understood completely, some significant results in this field have been achieved in the last twenty years. The investigation of these systems is important not only because they represent adequate models for many applications ranging from mechanical and electrical engineering up to financial markets, but also due to the importance of the phenomena observed in other types of dynamical systems as well. It is natural, therefore, to begin the analysis with the most simple subclass of piecewise-smooth systems (namel
Carrier Form: xiii, 634 pages : illustrations ; 24 cm.
Bibliography: Includes bibliographical references (pages 619-629) and index.
ISBN: 9789814368827
9814368822
Index Number: QA614
CLC: O193
Call Number: O193/A963
Contents: General concepts and tools -- Bifurcations in piecewise smooth maps -- Bifurcation scenarios (overview) -- Map replacement -- Skew tent map -- Adding structures -- Incrementing structures -- Organizing centers.