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Observation of chimera patterns in a network of symmetric chaotic finance systems
Authors:Biqun Chen  Karthikeyan Rajagopal  Fatemeh Parastesh  Hamed Azarnoush  Sajad Jafari  Iqtadar Hussain
Abstract:The economic and financial systems consist of many nonlinear factors that make them behave as the complex systems. Recently many chaotic finance systems have been proposed to study the complex dynamics of finance as a noticeable problem in economics. In fact, the intricate structure between financial institutions can be obtained by using a network of financial systems. Therefore, in this paper, we consider a ring network of coupled symmetric chaotic finance systems, and investigate its behavior by varying the coupling parameters. The results show that the coupling strength and range have significant effects on the behavior of the coupled systems, and various patterns such as the chimera and multi-chimera states are observed. Furthermore, changing the parameters' values, remarkably influences on the oscillators attractors. When several synchronous clusters are formed, the attractors of the synchronized oscillators are symmetric, but different from the single oscillator attractor.
Keywords:finance system  symmetric attractors  chimera state  synchronization transitions  non-locally coupled network  
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