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100   $a20140522d2014      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aStrongly Nonlinear Oscillators $eAnalytical Solutions /$fby Livija Cveticanin
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (IX, 239 p. 74 illus., 12 illus. in color.) 
225 1 $aUndergraduate Lecture Notes in Physics,$x2192-4791
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-05271-3 
327   $aIntroduction -- Nonlinear Oscillators -- Pure Nonlinear Oscillator -- Free Vibrations -- Oscillators with Time-Variable Parameters -- Forced Vibrations -- Two-Degree-Of-Freedom Oscillator -- Chaos in Oscillators.
330   $aThis book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author?s method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations.
410  0$aUndergraduate Lecture Notes in Physics,$x2192-4791
606   $aStatistical physics
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aMathematical physics
606   $aPhysics
606   $aVibration
606   $aDynamics
606   $aDynamics
606   $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020
606   $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036
615  0$aStatistical physics.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aMathematical physics.
615  0$aPhysics.
615  0$aVibration.
615  0$aDynamics.
615  0$aDynamics.
615 14$aApplications of Nonlinear Dynamics and Chaos Theory.
615 24$aMathematical and Computational Engineering.
615 24$aMathematical Applications in the Physical Sciences.
615 24$aMathematical Methods in Physics.
615 24$aVibration, Dynamical Systems, Control.
676   $a621.381533
700   $aCveticanin$b Livija$4aut$4http://id.loc.gov/vocabulary/relators/aut$0788086
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300388403321
996   $aStrongly Nonlinear Oscillators$91770423
997   $aUNINA