What are the prerequisites of Dynamical systems?

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I'm really interested in learning dynamical systems (to be more specific, I want to understand things like Lorentz Attractors, the Mandelbrot set, the logistic map and fractal geometry) I have no acquaintance with advanced mathematics (recently finished high school), and I want to know the list of prerequisites for learning the dynamical systems and if you know some books or websites that I can get help from please share them with me. Thank you.