17Dynamical Analysis of a Chaotic Model in Fractal-Fractional Operators

DOI: 10.1201/9781003359258-17

17.1 INTRODUCTION

Non-linear chaotic systems have complex dynamic behaviour and are sensitive to the beginning conditions. A chaotic attractor is further described as a chaotic set that a dynamic system likes to grow towards. Numerous engineering and non-engineering domains, including intelligent controls, power systems, secure communication, biology, and mathematics, use chaotic systems in a variety of ways [91, 191, 266]. In addition, Lorenz found chaotic attractors while researching atmospheric convection, and in 1963, he presented the first three-dimensional chaotic system. Rossler continued his study on the dissipative dynamical system ...

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