000 02284nam a2200289Ia 4500
003 OSt
005 20250904091727.0
008 220909b |||||||| |||| 00| 0 eng d
020 _a8187169850
037 _cTextual
040 _aCSL
_beng
_cCSL
041 _aeng
084 _aB7:355 N4;P7;5
_qCSL
100 _aStrogatz, Steven H.
_eauthor
_9820038
245 0 _aNonlinear dynamics and chaos
_b: With applications to physics,biology, chemistry and engineering
260 _aKolkata:
_bLevant Books,
_c2007
300 _axi; 498p.
500 _aReferences 455-474p.; Index 475-498p.
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 the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.
650 _a Chaos
_9820039
650 _a Mathematics
_9820040
650 _a Nonlinear dynamics
_9820041
650 _aGeneral Science
_9391529
942 _hB7:355 N4;P7;5
_cTEXL
_2CC
_n0
999 _c8657
_d8657