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Generating a new strange attractor by mixing discret and continus TS fuzzy models

This paper introduces a method for generating new strange attractor by mixing continus and discret well known chaotic systems. This method is composed of three main stages: The first stage is a Takagi-Sugeno (TS) fuzzy modeling of the discret and continus chaotic systems, the second stage is the discretization of continuous-time TS fuzzy model and the third stage is the combination of the memberships functions of the obtained models. Simulation results are presented to show the effectiveness of the proposed method. The obtained global system exhibits an hyper-chaotic behavior and the strange attractor is designed in the phase plane.