| 000 | 03603nam a22005175i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-02403-0 | ||
| 003 | DE-He213 | ||
| 005 | 20240730163920.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 220601s2011 sz | s |||| 0|eng d | ||
| 020 |
_a9783031024030 _9978-3-031-02403-0 |
||
| 024 | 7 |
_a10.1007/978-3-031-02403-0 _2doi |
|
| 050 | 4 | _aQA1-939 | |
| 072 | 7 |
_aPB _2bicssc |
|
| 072 | 7 |
_aMAT000000 _2bisacsh |
|
| 072 | 7 |
_aPB _2thema |
|
| 082 | 0 | 4 |
_a510 _223 |
| 100 | 1 |
_aChen, Goong. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981200 |
|
| 245 | 1 | 0 |
_aChaotic Maps _h[electronic resource] : _bDynamics, Fractals, and Rapid Fluctuations / _cby Goong Chen, Yu Huang. |
| 250 | _a1st ed. 2011. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2011. |
|
| 300 |
_aXIII, 227 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 505 | 0 | _aSimple Interval Maps and Their Iterations -- Total Variations of Iterates of Maps -- Ordering among Periods: The Sharkovski Theorem -- Bifurcation Theorems for Maps -- Homoclinicity. Lyapunoff Exponents -- Symbolic Dynamics, Conjugacy and Shift Invariant Sets -- The Smale Horseshoe -- Fractals -- Rapid Fluctuations of Chaotic Maps on RN -- Infinite-dimensional Systems Induced by Continuous-Time Difference Equations. | |
| 520 | _aThis book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China. There are ten chapters in the main body of the book, covering an elementary theory of chaotic maps in finite-dimensional spaces. The topics include one-dimensional dynamical systems (interval maps), bifurcations, general topological, symbolic dynamical systems, fractals and a class of infinite-dimensional dynamical systems which are induced by interval maps, plus rapid fluctuations of chaotic maps as a new viewpoint developed by the authors in recent years. Two appendices are also provided in order to ease the transitions for the readership from discrete-time dynamical systems to continuous-time dynamical systems, governed by ordinary and partial differential equations. Table of Contents: Simple Interval Maps and Their Iterations / Total Variations of Iterates of Maps / Ordering among Periods: The Sharkovski Theorem / Bifurcation Theorems for Maps / Homoclinicity. Lyapunoff Exponents / Symbolic Dynamics, Conjugacy and Shift Invariant Sets / The Smale Horseshoe / Fractals / Rapid Fluctuations of Chaotic Maps on RN / Infinite-dimensional Systems Induced by Continuous-Time Difference Equations. | ||
| 650 | 0 |
_aMathematics. _911584 |
|
| 650 | 0 |
_aStatistics . _931616 |
|
| 650 | 0 |
_aEngineering mathematics. _93254 |
|
| 650 | 1 | 4 |
_aMathematics. _911584 |
| 650 | 2 | 4 |
_aStatistics. _914134 |
| 650 | 2 | 4 |
_aEngineering Mathematics. _93254 |
| 700 | 1 |
_aHuang, Yu. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981201 |
|
| 710 | 2 |
_aSpringerLink (Online service) _981202 |
|
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031012754 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031035319 |
| 830 | 0 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 _981203 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-02403-0 |
| 912 | _aZDB-2-SXSC | ||
| 942 | _cEBK | ||
| 999 |
_c85128 _d85128 |
||