000 03335nam a22005055i 4500
001 978-3-642-04084-9
003 DE-He213
005 20140220084526.0
007 cr nn 008mamaa
008 100327s2010 gw | s |||| 0|eng d
020 _a9783642040849
_9978-3-642-04084-9
024 7 _a10.1007/978-3-642-04084-9
_2doi
050 4 _aQC174.7-175.36
072 7 _aPHS
_2bicssc
072 7 _aPHDT
_2bicssc
072 7 _aSCI055000
_2bisacsh
082 0 4 _a621
_223
100 1 _aAmigó, José.
_eauthor.
245 1 0 _aPermutation Complexity in Dynamical Systems
_h[electronic resource] :
_bOrdinal Patterns, Permutation Entropy and All That /
_cby José Amigó.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aX, 280p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Synergetics,
_x0172-7389
505 0 _aWhat Is This All About? -- First Applications -- Ordinal Patterns -- Ordinal Structure of the Shifts -- Ordinal Structure of the Signed Shifts -- Metric Permutation Entropy -- Topological Permutation Entropy -- Discrete Entropy -- Detection of Determinism -- Space–Time Dynamics -- Conclusion and Outlook.
520 _aThe study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic blocks are ordinal patterns, that is, permutations defined by the order relations among points in the orbits of dynamical systems. Since its inception in 2002 the concept of permutation entropy has sparked a new branch of research in particular regarding the time series analysis of dynamical systems that capitalizes on the order structure of the state space. Indeed, on one hand ordinal patterns and periodic points are closely related, yet ordinal patterns are amenable to numerical methods, while periodicity is not. Another interesting feature is that since it can be shown that random (unconstrained) dynamics has no forbidden patterns with probability one, their existence can be used as a fingerprint to identify any deterministic origin of orbit generation. This book is primarily addressed to researchers working in the field of nonlinear dynamics and complex systems, yet will also be suitable for graduate students interested in these subjects. The presentation is a compromise between mathematical rigor and pedagogical approach. Accordingly, some of the more mathematical background needed for more in depth understanding has been shifted into the appendices.
650 0 _aPhysics.
650 0 _aData structures (Computer science).
650 0 _aMathematics.
650 0 _aMathematical physics.
650 1 4 _aPhysics.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aData Structures, Cryptology and Information Theory.
650 2 4 _aApplications of Mathematics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642040832
830 0 _aSpringer Series in Synergetics,
_x0172-7389
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-04084-9
912 _aZDB-2-PHA
999 _c111573
_d111573