MARC Record from marc_columbia

LEADER: 04756cam a2200625Mi 4500
001 14762039
005 20220501002546.0
006 m o d
007 cr |n|||||||||
008 191110s2020 flu o 000 0 eng d
035 $a(OCoLC)on1126793361
035 $a(NNC)14762039
040 $aYDX$beng$epn$cYDX$dTYFRS$dYDX$dTYFRS$dN$T$dOCLCF$dOCLCQ$dOCLCO
019 $a1128889957
020 $a9780429028991$q(electronic bk.)
020 $a0429028997$q(electronic bk.)
020 $a9780429642784$q(electronic bk. ;$qPDF)
020 $a0429642784$q(electronic bk. ;$qPDF)
020 $a9780429639616$q(electronic bk. ;$qEPUB)
020 $a0429639619$q(electronic bk. ;$qEPUB)
020 $a9780429636448$q(electronic bk. ;$qMobipocket)
020 $a042963644X$q(electronic bk. ;$qMobipocket)
035 $a(OCoLC)1126793361$z(OCoLC)1128889957
037 $a9780429028991$bTaylor & Francis
050 4 $aQA372
072 7 $aMAT$x003000$2bisacsh
072 7 $aMAT$x007000$2bisacsh
072 7 $aMED$x000000$2bisacsh
072 7 $aTBJ$2bicssc
082 04 $a515/.355$223
049 $aZCUA
100 1 $aCampos, Luis Manuel Braga da Costa,$eauthor.
245 10 $aNonlinear Differential Equations and Dynamical Systems
260 $aBoca Raton, FL :$bCRC Press,$c2020.
300 $a1 online resource
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aMathematics and physics for science and technology ;$vbook 5
520 $aNon-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This second book consists of two chapters (chapters 3 and 4 of the set). The first chapter considers non-linear differential equations of first order, including variable coefficients. A first-order differential equation is equivalent to a first-order differential in two variables. The differentials of order higher than the first and with more than two variables are also considered. The applications include the representation of vector fields by potentials. The second chapter in the book starts with linear oscillators with coefficients varying with time, including parametric resonance. It proceeds to non-linear oscillators including non-linear resonance, amplitude jumps, and hysteresis. The non-linear restoring and friction forces also apply to electromechanical dynamos. These are examples of dynamical systems with bifurcations that may lead to chaotic motions. Presents general first-order differential equations including non-linear like the Ricatti equation Discusses differentials of the first or higher order in two or more variables Includes discretization of differential equations as finite difference equations Describes parametric resonance of linear time dependent oscillators specified by the Mathieu functions and other methods Examines non-linear oscillations and damping of dynamical systems including bifurcations and chaotic motions
545 0 $aLuis Manuel Braga da Costa Campos graduated in 1972 as a Mechanical Engineer from the Instituto Superior Tecnico (IST) of Lisbon Technical University. His tutorials as a student (1970) were followed by a career at the same institution (IST) through all levels: Assistant (1972), Assistant with tenure (1974), Assistant Professor (1978), Associate Professor (1982), Chair de Applied Mathematics and Mechanics (1985). He has been coordinator of undergraduate and post-graduate degrees in Aerospace Engineering since their creation in 1991. He is also coordinator of the Scientific Area of Applied and Aerospace Mechanics in the Department of Mechanical Engineering and director and founder of the Center for Aeronautical and Space Science and Technology.
650 0 $aDifferential equations, Nonlinear.
650 0 $aDifferentiable dynamical systems.
650 6 $aÉquations différentielles non linéaires.
650 6 $aDynamique différentiable.
650 7 $aMATHEMATICS$xApplied.$2bisacsh
650 7 $aMATHEMATICS$xDifferential Equations.$2bisacsh
650 7 $aMEDICAL$xGeneral.$2bisacsh
650 7 $aDifferentiable dynamical systems.$2fast$0(OCoLC)fst00893426
650 7 $aDifferential equations, Nonlinear.$2fast$0(OCoLC)fst00893474
655 4 $aElectronic books.
776 08 $iPrint version:$w(OCoLC)910167442
830 0 $aMathematics and physics for science and technology ;$vbk. 5.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio14762039$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS