Multiscroll chaotic system with sigmoid nonlinearity and its fractional order form with synchronization application
| Autor: | Akif Akgul, Sajad Jafari, Karthikeyan Rajagopal, Anitha Karthikeyan, Yılmaz Uyaroğlu, Ali Durdu |
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| Přispěvatelé: | Rajagopal, KRKY, Durdu, AL, Jafari, SA, Uyaroglu, YM, Karthikeyan, ANH, Akgul, A, Sakarya Üniversitesi/Bilgisayar Araştırma Ve Uygulama Merkezi, Durdu, Ali, Uyaroğlu, Yılmaz, Akgül, Akif |
| Rok vydání: | 2019 |
| Předmět: |
Random number generation
Computer science Applied Mathematics Mechanical Engineering MathematicsofComputing_NUMERICALANALYSIS Chaotic 02 engineering and technology Lyapunov exponent Sigmoid function Mechanics 021001 nanoscience & nanotechnology Topology Synchronization Image (mathematics) symbols.namesake Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials symbols Multiscroll attractor 0210 nano-technology |
| Zdroj: | International Journal of Non-Linear Mechanics. 116:262-272 |
| ISSN: | 0020-7462 |
| DOI: | 10.1016/j.ijnonlinmec.2019.07.013 |
| Popis: | In this paper, a multiscroll snap oscillator with hyperbolic tangent function is proposed. There is no limitation in the number of scrolls and it can be increased by proper choice of a specific function. The Lyapunov exponents of the proposed system are obtained to testify the chaotic behavior of the system. Fractional order multiscroll system is derived from its integer order model by using the Adams–Bashforth–Moulton algorithm. A new scheme is applied in order to investigate the synchronization of the multiscroll systems. The main objective of the paper is to propose a multiscroll attractor and show that the number of scrolls can be controlled by the only nonlinear function. Such systems are less investigated in the literatures and has many real time applications like image and voice encryption, random number generators, chaos based communication systems and so on. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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