Compound structures of new chaotic attractors in a commonly-distributed-coefficient jerk model with arcsine and arc-hyperbolic sine nonlinearity

摘要

Two new chaotic attractors in a commonly-distributed-coefficient jerk model are proposed with new coefficients and new nonlinearity. The latter is based on arcsine and arc-hyperbolic sine nonlinearity. In particular, compound structures of both attractors are demonstrated through a half-image isolation using a control parameter C. The positive value of an appropriate C isolates the right half-image attractors whilst the negative value of an appropriate C isolates the left half-image attractor. Both images can then be merged together as a compound structure. Forming mechanism of compound structures has been concluded. Examples of gradual development of the compound structures have also been demonstrated.