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Three winged lateen shaped chaotic attractor

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Abstract

Strange attractors are one of the most fascinating fields in chaos theory and nonlinear dynamics. Even though non-chaotic strange attractors may exist, what we introduce is a three winged lateen shaped attractor with fractal structure emerged by a new two-dimensional chaotic map. The initiation and also the majority of the analysis proposed in this paper consist of linear stability analysis to identify chaotic dynamics of the map and the attractor. Furthermore, bifurcations and corresponding Lyapunov exponents are investigated prior to the fractal dimension analysis. As an extension of the attractor we focused on and as a possible future research topic, various attractors out which the map brings with different chaotic parameters are also presented. Finally, we presented further possible analysis consisting of power spectra, basin of attraction, correlation dimension, and bounded regions.

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Acknowledgments

The work and the contribution were supported by the project “Smart Solutions in Ubiquitous Computing Environments”, Grant Agency of Excellence, University of Hradec Kralove, Faculty of Informatics and Management.

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  1. Center for Basic and Applied Research, Faculty of Informatics and Management, University of Hradec Kralove, Rokitanskeho 62, 50003, Hradec Kralove, Czech Republic

    Orcan Alpar

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  1. Orcan Alpar
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Correspondence to Orcan Alpar.

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Alpar, O. Three winged lateen shaped chaotic attractor. Nonlinear Dyn 82, 435–449 (2015). https://doi.org/10.1007/s11071-015-2166-2

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