000 02241nam a22003378i 4500
001 CR9781139343473
003 UkCbUP
005 20200124160215.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 120313s2016||||enk o ||1 0|eng|d
020 _a9781139343473 (ebook)
020 _z9781107030428 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA372
_b.P655 2016
082 0 0 _a515/.352
_223
100 1 _aPikovsky, Arkady,
_d1956-
_eauthor.
245 1 0 _aLyapunov exponents :
_ba tool to explore complex dynamics /
_cArkady Pikovsky, University of Potsdam, Antonio Politi, University of Aberdeen.
264 1 _aCambridge :
_bCambridge University Press,
_c2016.
300 _a1 online resource (xii, 285 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Feb 2016).
520 _aLyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in applications to complex systems. Practical algorithms are thoroughly reviewed and their performance is discussed, while a broad set of examples illustrate the wide range of potential applications. The description of various numerical and analytical techniques for the computation of Lyapunov exponents offers an extensive array of tools for the characterization of phenomena such as synchronization, weak and global chaos in low and high-dimensional set-ups, and localization. This text equips readers with all the investigative expertise needed to fully explore the dynamical properties of complex systems, making it ideal for both graduate students and experienced researchers.
650 0 _aLyapunov exponents.
650 0 _aDifferential equations.
700 1 _aPoliti, A.,
_eauthor.
776 0 8 _iPrint version:
_z9781107030428
856 4 0 _uhttps://doi.org/10.1017/CBO9781139343473
999 _c516169
_d516167