000			02338nam a22002177a 4500
003			CUTN
005			20231219114543.0
008			231219b |||||||| |||| 00| 0 eng d
020			_a9781138329454
041			_aEnglish
082			_223 _a501.185 _bSTR
100			_a Strogatz, Steven H.
245			_aNonlinear dynamics and Chaos: _bwith applications to physics, biology, chemistry, and engineering/ _cSteven H. Strogatz.
250			_a2nd ed.
260			_aBaca Raton ; _bCRC Press : _c2015.
300			_a xiii, 513 p. ; _bcol. ill. pbk.: _c24 cm.
505			_a1. Overview PART I. ONE-DIMENSIONAL FLOWS 2. Flows on the Line 3. Bifurcations 4. Flows on the Circle Part II. TWO-DIMENSIONAL FLOWS 5. Linear Systems 6. Phase Plane 7. Limit Cycles 8. Bifurcations Revisited Part III. CHAOS 9. Lorenz Equations 10. One-Dimensional Maps 11. Fractals 12. Strange Attractors
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 new fields as systems biology, evolutionary game theory, and sociophysics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as the curiosities of visual perception and the tumultuous love dynamics in Gone With the Wind
650			_a Nonlinear dynamics
942			_2ddc _cBOOKS
999			_c41044 _d41044