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- W3100211151 startingPage "267" @default.
- W3100211151 abstract "The Rabinovich system, describing the process of interaction between waves in plasma, is considered. It is shown that the Rabinovich system can exhibit a {hidden attractor} in the case of multistability as well as a classical {self-excited attractor}. The hidden attractor in this system can be localized by analytical-numerical methods based on the {continuation} and {perpetual points}. For numerical study of the attractors' dimension the concept of {finite-time Lyapunov dimension} is developed. A conjecture on the Lyapunov dimension of self-excited attractors and the notion of {exact Lyapunov dimension} are discussed. A comparative survey on the computation of the finite-time Lyapunov exponents by different algorithms is presented and an approach for a reliable numerical estimation of the finite-time Lyapunov dimension is suggested. Various estimates of the finite-time Lyapunov dimension for the hidden attractor and hidden transient chaotic set in the case of multistability are given." @default.
- W3100211151 created "2020-11-23" @default.
- W3100211151 creator A5013387777 @default.
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- W3100211151 creator A5029760527 @default.
- W3100211151 creator A5043889089 @default.
- W3100211151 creator A5083808886 @default.
- W3100211151 date "2018-01-31" @default.
- W3100211151 modified "2023-10-12" @default.
- W3100211151 title "Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system" @default.
- W3100211151 cites W1464403884 @default.
- W3100211151 cites W1501770280 @default.
- W3100211151 cites W1628431942 @default.
- W3100211151 cites W1863658077 @default.
- W3100211151 cites W1961750730 @default.
- W3100211151 cites W1965360955 @default.
- W3100211151 cites W1970650503 @default.
- W3100211151 cites W1973889959 @default.
- W3100211151 cites W1980003568 @default.
- W3100211151 cites W1981573819 @default.
- W3100211151 cites W1983342228 @default.
- W3100211151 cites W1986751706 @default.
- W3100211151 cites W1988258244 @default.
- W3100211151 cites W1990907571 @default.
- W3100211151 cites W1998630995 @default.
- W3100211151 cites W1998727969 @default.
- W3100211151 cites W2007420622 @default.
- W3100211151 cites W2012578401 @default.
- W3100211151 cites W2015843782 @default.
- W3100211151 cites W2017926248 @default.
- W3100211151 cites W2018522871 @default.
- W3100211151 cites W2029401646 @default.
- W3100211151 cites W2033268435 @default.
- W3100211151 cites W2033331144 @default.
- W3100211151 cites W2040069863 @default.
- W3100211151 cites W2044257293 @default.
- W3100211151 cites W2045207061 @default.
- W3100211151 cites W2052456444 @default.
- W3100211151 cites W2055701364 @default.
- W3100211151 cites W2065622633 @default.
- W3100211151 cites W2067951364 @default.
- W3100211151 cites W2072902748 @default.
- W3100211151 cites W2075591840 @default.
- W3100211151 cites W2075848215 @default.
- W3100211151 cites W2078907149 @default.
- W3100211151 cites W2081592158 @default.
- W3100211151 cites W2082782487 @default.
- W3100211151 cites W2097293438 @default.
- W3100211151 cites W2101221046 @default.
- W3100211151 cites W2103748903 @default.
- W3100211151 cites W2115918172 @default.
- W3100211151 cites W2122582957 @default.
- W3100211151 cites W2127445253 @default.
- W3100211151 cites W2141394518 @default.
- W3100211151 cites W2152254020 @default.
- W3100211151 cites W2158371623 @default.
- W3100211151 cites W2161168724 @default.
- W3100211151 cites W2168627751 @default.
- W3100211151 cites W2169982364 @default.
- W3100211151 cites W2240265672 @default.
- W3100211151 cites W2270121658 @default.
- W3100211151 cites W2284157877 @default.
- W3100211151 cites W2337891072 @default.
- W3100211151 cites W2338295330 @default.
- W3100211151 cites W2343554908 @default.
- W3100211151 cites W2343832164 @default.
- W3100211151 cites W2408502140 @default.
- W3100211151 cites W2410021215 @default.
- W3100211151 cites W2410213771 @default.
- W3100211151 cites W2413336514 @default.
- W3100211151 cites W242476103 @default.
- W3100211151 cites W2504915244 @default.
- W3100211151 cites W2512463448 @default.
- W3100211151 cites W2538796901 @default.
- W3100211151 cites W2565482338 @default.
- W3100211151 cites W2567639473 @default.
- W3100211151 cites W2579350199 @default.
- W3100211151 cites W2586914824 @default.
- W3100211151 cites W2588440525 @default.
- W3100211151 cites W2591915866 @default.
- W3100211151 cites W2594650004 @default.
- W3100211151 cites W2602311610 @default.
- W3100211151 cites W2602686929 @default.
- W3100211151 cites W2606149044 @default.
- W3100211151 cites W2614027008 @default.
- W3100211151 cites W2614214403 @default.
- W3100211151 cites W2615132965 @default.
- W3100211151 cites W2615923084 @default.
- W3100211151 cites W2619543101 @default.
- W3100211151 cites W2624618313 @default.
- W3100211151 cites W2664973513 @default.
- W3100211151 cites W2736074082 @default.
- W3100211151 cites W2761348234 @default.
- W3100211151 cites W2963175336 @default.
- W3100211151 cites W297325920 @default.
- W3100211151 cites W3100318885 @default.
- W3100211151 cites W3105982509 @default.
- W3100211151 cites W327886041 @default.