Three winged lateen shaped chaotic attractor

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.