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040 _aOCoLC-P
_beng
_cOCoLC-P
020 _a9780429028991
_q(electronic bk.)
020 _a0429028997
_q(electronic bk.)
020 _a9780429642784
_q(electronic bk. : PDF)
020 _a0429642784
_q(electronic bk. : PDF)
020 _a9780429639616
_q(electronic bk. : EPUB)
020 _a0429639619
_q(electronic bk. : EPUB)
020 _a9780429636448
_q(electronic bk. : Mobipocket)
020 _a042963644X
_q(electronic bk. : Mobipocket)
035 _a(OCoLC)1126793361
035 _a(OCoLC-P)1126793361
050 4 _aQA372
072 7 _aMAT
_x003000
_2bisacsh
072 7 _aMAT
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_2bisacsh
072 7 _aMED
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_2bisacsh
072 7 _aTBJ
_2bicssc
082 0 4 _a515/.355
_223
100 1 _aCampos, Luis Manuel Braga da Costa,
_eauthor.
245 1 0 _aNonlinear Differential Equations and Dynamical Systems
_h[electronic resource].
260 _aBoca Raton, FL :
_bCRC Press,
_c2020.
300 _a1 online resource
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
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aDifferential equations, Nonlinear.
650 0 _aDifferentiable dynamical systems.
650 7 _aMATHEMATICS / Applied
_2bisacsh
650 7 _aMATHEMATICS / Differential Equations
_2bisacsh
650 7 _aMEDICAL / General
_2bisacsh
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9780429028991
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c129234
_d129234