Various patterns of coexisting attractors in a hyperchaotic map.

A hyperchaotic map with various patterns of coexisting attractors is found by introducing trigonometric functions. The periodicity of trigonometric functions, as a key factor of coexisting attractors, brings various possibilities for attractor self-producing. By introducing orthorhombic feedback of sinusoidal and cosine functions, the newly constructed multistability can be flexibly controlled, and consequently layered coexisting attractors, externally wrapped coexisting attractors, and scissor-type coexisting attractors are produced. As a result, the offset boosting of initial conditions may draw out chaotic signals with desired amplitudes and polarities. Furthermore, such coexisting attractors may connect and grow in the phase space. This new finding is further verified based on the platform STM32. [ABSTRACT FROM AUTHOR]