03918nam a22005775i 4500 978-981-97-6779-3 DE-He213 20251030114937.0 cr nn 008mamaa 250201s2024 si | s |||| 0|eng d 9789819767793 978-981-97-6779-3 10.1007/978-981-97-6779-3 doi QC19.2-20.85 PHU bicssc SCI040000 bisacsh PHU thema Metrikin, Vladimir. author. aut http://id.loc.gov/vocabulary/relators/aut 90633 Forced Oscillations of Multidimensional Highly Nonlinear Systems [electronic resource] : Deterministic Chaos and Random Changes in Parameters / by Vladimir Metrikin, Igumnov Leonid. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. VIII, 167 p. 87 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Advanced Structured Materials, 1869-8441 ; 222 1. 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. This 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. Mathematical physics. Multibody systems. 66046 Vibration. 66047 Mechanics, Applied. Dynamical systems. Mathematical Physics. Multibody Systems and Mechanical Vibrations. 66048 Dynamical Systems. Leonid, Igumnov. author. aut http://id.loc.gov/vocabulary/relators/aut 90634 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819767786 Printed edition: 9789819767809 Printed edition: 9789819767816 Advanced Structured Materials, 1869-8441 ; 222 68737 https://doi.org/10.1007/978-981-97-6779-3 ZDB-2-PHA ZDB-2-SXP 66616 66616