A high-precision numerical method to simulating the fractional-order EI Niño chaotic systems with Riemann–Liouville fractional derivative

Abstract

Chaotic systems arise everywhere in control theory and nonlinear vibration. This paper uses a high-precision numerical approach for capturing chaotic attractors of the fractional EI Ni ño chaotic systems. The numerical results indicate that some of the chaotic attractors of fractional-order systems are topologically equivalent to those discovered in the integer-order systems, and some unusual attractors of fractional EI Ni ño chaotic systems are found by using the present method.