Generating novel multi-scroll chaotic attractors via fractal transformation

The fractal and chaos are bound tightly, their relevant researches well-established. Few of them, however, concentrate on the research possibility combining chaotic systems for generating multi-scroll attractors. This paper presents a novel non-equilibrium point system, exhibiting extremely rich complex hidden behaviors including chaos, hyper-chaos, attractors, extreme multi-stability, initial offset-boosting behavior. proposed system is combined with transformation to observe new class attractors such as multi-ring separated-scroll nested Particularly, first swallow-like found. Moreover, another efficient method generate different applies parabola triangle transformation. Additionally, spectrum entropy (SE) complexity also employed discuss before after fractal, resulting in sequences that has higher complexity. Finally, we develop hardware platform implement presented way confirm accuracy numerical simulations, providing theoretical basis next application image encryption.