| 000 | 02510nam a22003618i 4500 | ||
|---|---|---|---|
| 001 | CR9781108585804 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160156.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 180115s2019||||enk o ||1 0|eng|d | ||
| 020 | _a9781108585804 (ebook) | ||
| 020 | _z9781108499675 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aGA108.7 _b.K89 2019 |
| 082 | 0 | 0 |
_a526.01/515392 _223 |
| 100 | 1 |
_aKuznet͡sov, I͡U. A. _q(I͡Uriĭ Aleksandrovich), _eauthor. |
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| 245 | 1 | 0 |
_aNumerical bifurcation analysis of maps : _bfrom theory to software / _cYuri A. Kuznetsov, Hil G. E. Meijer. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2019. |
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| 300 |
_a1 online resource (xiv, 407 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aThe Cambridge monographs on applied and computational mathematics ; _v34 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 13 Mar 2019). | ||
| 520 | _aThis book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze more complicated models from modern engineering, ecology, and economics. | ||
| 650 | 0 |
_aCartography _xMathematical models. |
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| 650 | 0 | _aBifurcation theory. | |
| 700 | 1 |
_aMeijer, Hil G. E., _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9781108499675 |
| 830 | 0 |
_a Cambridge monographs on applied and computational mathematics ; _v34. |
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| 856 | 4 | 0 | _uhttps://www.cambridge.org/core/product/identifier/9781108585804/type/BOOK |
| 999 |
_c514479 _d514477 |
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