Matches in SemOpenAlex for { <https://semopenalex.org/work/W2594280514> ?p ?o ?g. }
- W2594280514 endingPage "470" @default.
- W2594280514 startingPage "449" @default.
- W2594280514 abstract "Recently, a new classification of nonlinear dynamics has been introduced by Leonov and Kuznetsov, in which two kinds of attractors are concentrated, i.e. self-excited and hidden ones. Self-excited attractor has a basin of attraction excited from unstable equilibria. So, from that point of view, most known systems, like Lorenz’s system, Rössler’s system, Chen’s system, or Sprott’s system, belong to chaotic systems with self-excited attractors. In contrast, a few unusual systems such as those with a line equilibrium, with stable equilibria, or without equilibrium, are classified into chaotic systems with hidden attractor. Studying chaotic system with hidden attractors has become an attractive research direction because hidden attractors play an important role in theoretical problems and engineering applications. This chapter presents a three-dimensional autonomous system without any equilibrium point which can generate hidden chaotic attractor. The fundamental dynamics properties of such no-equilibrium system are discovered by using phase portraits, Lyapunov exponents, bifurcation diagram, and Kaplan–Yorke dimension. Chaos synchronization of proposed systems is achieved and confirmed by numerical simulation. In addition, an electronic circuit is implemented to evaluate the theoretical model. Finally, fractional-order form of the system with no equilibrium is also investigated." @default.
- W2594280514 created "2017-03-16" @default.
- W2594280514 creator A5012297748 @default.
- W2594280514 creator A5026775898 @default.
- W2594280514 creator A5029973339 @default.
- W2594280514 creator A5034196986 @default.
- W2594280514 creator A5051386391 @default.
- W2594280514 creator A5061639181 @default.
- W2594280514 date "2017-01-01" @default.
- W2594280514 modified "2023-10-12" @default.
- W2594280514 title "A Three-Dimensional No-Equilibrium Chaotic System: Analysis, Synchronization and Its Fractional Order Form" @default.
- W2594280514 cites W1421858863 @default.
- W2594280514 cites W1427684937 @default.
- W2594280514 cites W1448742899 @default.
- W2594280514 cites W1464403884 @default.
- W2594280514 cites W1966342131 @default.
- W2594280514 cites W1967008192 @default.
- W2594280514 cites W1967158542 @default.
- W2594280514 cites W1972634840 @default.
- W2594280514 cites W1973208268 @default.
- W2594280514 cites W1975785413 @default.
- W2594280514 cites W1990907571 @default.
- W2594280514 cites W1990987436 @default.
- W2594280514 cites W1994219680 @default.
- W2594280514 cites W1997309647 @default.
- W2594280514 cites W1998630995 @default.
- W2594280514 cites W2000674278 @default.
- W2594280514 cites W2001032007 @default.
- W2594280514 cites W2001944982 @default.
- W2594280514 cites W2005047408 @default.
- W2594280514 cites W2008052025 @default.
- W2594280514 cites W2010835136 @default.
- W2594280514 cites W2011304180 @default.
- W2594280514 cites W2013440826 @default.
- W2594280514 cites W2015687261 @default.
- W2594280514 cites W2018522871 @default.
- W2594280514 cites W2021554636 @default.
- W2594280514 cites W2023600694 @default.
- W2594280514 cites W2028482099 @default.
- W2594280514 cites W2029194539 @default.
- W2594280514 cites W2030308994 @default.
- W2594280514 cites W2032347897 @default.
- W2594280514 cites W2036870441 @default.
- W2594280514 cites W2040069863 @default.
- W2594280514 cites W2040481271 @default.
- W2594280514 cites W2043260105 @default.
- W2594280514 cites W2046463111 @default.
- W2594280514 cites W2048765588 @default.
- W2594280514 cites W2055759311 @default.
- W2594280514 cites W2065462054 @default.
- W2594280514 cites W2066931334 @default.
- W2594280514 cites W2069436097 @default.
- W2594280514 cites W2077543457 @default.
- W2594280514 cites W2079257011 @default.
- W2594280514 cites W2084833892 @default.
- W2594280514 cites W2090238903 @default.
- W2594280514 cites W2093856783 @default.
- W2594280514 cites W2107361071 @default.
- W2594280514 cites W2118698203 @default.
- W2594280514 cites W2138990845 @default.
- W2594280514 cites W2141394518 @default.
- W2594280514 cites W2141662965 @default.
- W2594280514 cites W2152254020 @default.
- W2594280514 cites W2156367245 @default.
- W2594280514 cites W2169982364 @default.
- W2594280514 cites W2221749942 @default.
- W2594280514 cites W2224848586 @default.
- W2594280514 cites W2261633607 @default.
- W2594280514 cites W2266042337 @default.
- W2594280514 cites W2268180075 @default.
- W2594280514 cites W2284325902 @default.
- W2594280514 cites W2294239831 @default.
- W2594280514 cites W2301947605 @default.
- W2594280514 cites W2303324995 @default.
- W2594280514 cites W2318192473 @default.
- W2594280514 cites W2338295330 @default.
- W2594280514 cites W2338342175 @default.
- W2594280514 cites W2403590993 @default.
- W2594280514 cites W2419264128 @default.
- W2594280514 cites W2460162024 @default.
- W2594280514 cites W2466873868 @default.
- W2594280514 cites W2470886189 @default.
- W2594280514 cites W2472130826 @default.
- W2594280514 cites W2472753074 @default.
- W2594280514 cites W2476121101 @default.
- W2594280514 cites W2483948497 @default.
- W2594280514 cites W2486971680 @default.
- W2594280514 cites W2496600137 @default.
- W2594280514 cites W2497008666 @default.
- W2594280514 cites W2503005566 @default.
- W2594280514 cites W259286310 @default.
- W2594280514 cites W2897256236 @default.
- W2594280514 cites W2964079314 @default.
- W2594280514 cites W39942951 @default.
- W2594280514 cites W4206744643 @default.
- W2594280514 cites W4229865216 @default.
- W2594280514 cites W4247794243 @default.
- W2594280514 cites W4252959020 @default.