| 000 | 02292nam a22002177a 4500 | ||
|---|---|---|---|
| 999 |
_c1198 _d1198 |
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| 005 | 20211026121131.0 | ||
| 008 | 211026b ||||| |||| 00| 0 eng d | ||
| 020 | _a9781138329454 | ||
| 082 |
_a501.185 _bSTR |
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| 100 | _aStrogatz, Steven H. | ||
| 245 |
_aNonlinear dynamics and Chaos : _bwith applications to physics, biology, chemistry and engineering _cSteven H. Strogatz |
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| 250 | _a2nd ed. | ||
| 260 |
_aNew York : _bCRC Press., _cc2015 |
||
| 300 |
_axi, 498 p. : _bill. ; _c24 cm |
||
| 505 |
_t1. Overview _t2. Flows on the Line _t3. Bifurcations _t4. Flows on the Circle _t5. Linear Systems _t6. Phase Plane _t7. Limit Cycles _t8. Bifurcations Revisited _t9. Lorenz Equations _t10. One-Dimensional Maps _t11. Fractals _t12. Strange Attractors |
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| 520 | _aThis textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory. In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting fields as systems biology, evolutionary game theory, and socio-physics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as curiosities of visual perception and the tumultuous love dynamics in Gone with the Wind. | ||
| 650 | _aChaotic behavior in systems | ||
| 650 | _aDynamics | ||
| 650 | _aNonlinear theories | ||
| 942 |
_2ddc _cBK |
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