000 03415nam a22005415i 4500
001 978-3-319-49247-6
003 DE-He213
005 20181204134229.0
007 cr nn 008mamaa
008 161228s2016 gw | s |||| 0|eng d
020 _a9783319492476
_9978-3-319-49247-6
024 7 _a10.1007/978-3-319-49247-6
_2doi
040 _aISI Library, Kolkata
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
_2thema
082 0 4 _a515.352
_223
100 1 _aCaraballo, Tomás.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aApplied Nonautonomous and Random Dynamical Systems
_h[electronic resource] :
_bApplied Dynamical Systems /
_cby Tomás Caraballo, Xiaoying Han.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aX, 108 p. 7 illus., 4 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Mathematics,
_x2191-8198
505 0 _a1 Introduction -- 2 Autonomous dynamical systems. - 3 Nonautonomous dynamical systems -- 4 Random dynamical - References .
520 _aThis book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.
650 0 _aDifferential Equations.
650 0 _aDistribution (Probability theory.
650 0 _aGenetics
_xMathematics.
650 0 _aMathematics.
650 1 4 _aOrdinary Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12147
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aGenetics and Population Dynamics.
_0http://scigraph.springernature.com/things/product-market-codes/M31010
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
700 1 _aHan, Xiaoying.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319492469
776 0 8 _iPrinted edition:
_z9783319492483
830 0 _aSpringerBriefs in Mathematics,
_x2191-8198
856 4 0 _uhttps://doi.org/10.1007/978-3-319-49247-6
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c426551
_d426551