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LEADER: 02947nam a22004695a 4500
001 013835752-8
005 20131206200718.0
008 130125s1997 ne | s ||0| 0|eng d
020 $a9789401724425
020 $a9789401724425
020 $a9789048149261
024 7 $a10.1007/978-94-017-2442-5$2doi
035 $a(Springer)9789401724425
040 $aSpringer
050 4 $aQC120-168.85
050 4 $aQA808.2
072 7 $aPHD$2bicssc
072 7 $aSCI041000$2bisacsh
082 04 $a531$223
100 1 $aShivamoggi, Bhimsen K.,$eauthor.
245 10 $aNonlinear Dynamics and Chaotic Phenomena :$bAn Introduction /$cby Bhimsen K. Shivamoggi.
264 1 $aDordrecht :$bSpringer Netherlands :$bImprint: Springer,$c1997.
300 $aXIII, 410 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aFluid Mechanics and Its Applications,$x0926-5112 ;$v42
520 $aThis book has grown out of the author's lecture notes for an interdisciplinary graduate-level course on nonlinear dynamics. The author describes in a clear and coherent way the basic concepts, language and results of nonlinear dynamical systems. In order to allow for an interdisciplinary readership, an informal style has been adopted and the mathematical formalism kept to a minimum. The book starts with a discussion of nonlinear differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics - integrable systems, Poincaré maps, chaos, fractals and strange attractors. Baker's transformation, the logistic map and the Lorenz system are discussed in detail. Finally, there are systematic discussions of the application of fractals to turbulence in fluids, and the Painlevé property of nonlinear differential equations. Exercises are given at the end of each chapter. This book is accessible to first-year graduate students in applied mathematics, physics and engineering, and is useful to any theoretically inclined researcher in physical sciences and engineering. Among the unique features of this book are: a strong middle ground between elementary undergraduate texts on the one hand, and advanced level monographs on the other the presentation of some original developments a thorough discussion of the application of fractals to turbulence in fluids. £/LIST£
650 20 $aMechanics.
650 10 $aPhysics.
650 0 $aPhysics.
650 0 $aMechanics.
650 0 $aNuclear physics.
650 0 $aVibration.
650 24 $aVibration, Dynamical Systems, Control.
650 24 $aClassical Continuum Physics.
650 24 $aNuclear Physics, Heavy Ions, Hadrons.
776 08 $iPrinted edition:$z9789048149261
830 0 $aFluid Mechanics and Its Applications ;$v42.
988 $a20131114
906 $0VEN