A Novel Mega-stable System with Attractors in Real-life Object Shapes

This paper introduces a two-dimensional autonomous mega-stable dynamical system with trigonometric nonlinearities. The nonlinearity of this is induced by tangent hyperbolic and cosine functions. A remarkable feature the ability to generate very rich patterns coexisting attractors via variation its parameters. Interestingly shapes resemble some real-life objects, such as Persian rugs, nuts (mainly chestnut), fruits (especially pear), vegetables (pumpkin onion). Simulations demonstrate attractors, basins attractions, object shapes. Moreover, fixed points proposed system, their stability, energy dissipation for various pairs parameters are investigated. Finally, feasibility approved analog circuit simulations. Regarding high flexibility producing broad range attractor patterns, it could be applied in fields.