LEADER 03805nam  22006615  450 
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010   $a9789819767793
010   $a9819767792
024 7 $a10.1007/978-981-97-6779-3
035   $a(CKB)37447413800041
035   $a(MiAaPQ)EBC31897052
035   $a(Au-PeEL)EBL31897052
035   $a(OCoLC)1496393754
035   $a(DE-He213)978-981-97-6779-3
035   $a(EXLCZ)9937447413800041
100   $a20250201d2024      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aForced Oscillations of Multidimensional Highly Nonlinear Systems $eDeterministic Chaos and Random Changes in Parameters /$fby Vladimir Metrikin, Igumnov Leonid
205   $a1st ed. 2024.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024.
215   $a1 online resource (228 pages)
225 1 $aAdvanced Structured Materials,$x1869-8441 ;$v222
311 08$a9789819767786 
311 08$a9819767784 
327   $a1. Introduction -- 2. Dynamics of two-mass vibro-impact mechanisms with a fixed limiter -- 3. Research into multi-mass vibro-impact system -- 4. Investigating the effect of viscous friction forces on stability of vibro-impact systems -- 5. Dynamics of vibro-impact systems with randomly changing parameters.
330   $aThis book highlights the presentation of methods for studying oscillations under external periodic influence and random changes in parameters in dynamic systems with nonlinearities that have discontinuities and kinks. The analysis of dynamic systems is based on effective approaches and algorithms of the method of point mappings of Poincaré surfaces, developed by the Nizhny Novgorod Scientific School of academician A.A. Andronov. Considerable attention is paid to the study of the general picture of the possible behavior of systems and their use in solving various applied problems. Using specific examples, it is found that this research approach allows not only to advance in the study of known nonlinear features but also to discover new effects and applications. The presentation is illustrated by numerous specific examples of oscillatory strongly nonlinear systems with discontinuous nonlinearities or piecewise-continuous nonlinearities. A separate chapter is devoted to the development and use of the point mapping method for random changes in the parameters of dynamic systems, as well as in dynamic systems subject to external seismic loads. The book is intended for scientists and engineers who are engaged in research and practice activities related to the theory of nonlinear oscillations and its applications, as well as graduate students and senior undergraduate students in relevant majors.
410  0$aAdvanced Structured Materials,$x1869-8441 ;$v222
606   $aMathematical physics
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aDynamics
606   $aMathematical Physics
606   $aMultibody Systems and Mechanical Vibrations
606   $aDynamical Systems
615  0$aMathematical physics.
615  0$aMultibody systems.
615  0$aVibration.
615  0$aMechanics, Applied.
615  0$aDynamics.
615 14$aMathematical Physics.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aDynamical Systems.
676   $a530.15
700   $aMetrikin$b Vladimir$01788982
701   $aLeonid$b Igumnov$01788983
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910977981203321
996   $aForced Oscillations of Multidimensional Highly Nonlinear Systems$94324337
997   $aUNINA