caa a22 4500 467910472 CHVBK 20180406152848.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s11232-006-0047-z doi (NATIONALLICENCE)springer-10.1007/s11232-006-0047-z The nature of the bufferness phenomenon in weakly dissipative systems [Elektronische Daten] [A. Kolesov, N. Rozov] We propose a mechanism for accumulating attractors in finite-dimensional weakly dissipative systems. The essence of this mechanism is that if a Hamiltonian or a conservative system with one and a half or more degrees of freedom is perturbed by small additional terms ensuring that it is dissipative, then under certain conditions, the number of its attractors appearing in small neighborhoods of different elliptic equilibriums or cycles of the nonperturbed system can increase without bound as the perturbations tend to zero. We consider meaningful examples from mechanics and radio physics: models of the bouncing ball dynamics, Fermi accelerations, the linear oscillator with impacts, and the self-excited oscillator with a discrete sequence of RLC circuits in the feedback circuit. Springer Science+Business Media, Inc., 2006 attractors nationallicence periodic motions nationallicence bufferness phenomenon nationallicence mappings nationallicence relay systems nationallicence Kolesov A. Yaroslavl State University, Yaroslavl, Russia aut Rozov N. Moscow State University, Moscow, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/3(2006-03-01), 376-392 0040-5779 146:3<376 2006 146 11232 https://doi.org/10.1007/s11232-006-0047-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0047-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kolesov A. Yaroslavl State University, Yaroslavl, Russia aut NATIONALLICENCE 700 1- Rozov N. Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/3(2006-03-01), 376-392 0040-5779 146:3<376 2006 146 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer