A plethora of coexisting strange attractors in a simple jerk system with hyperbolic tangent nonlinearity

摘要

Highlights?The dynamics of a simple jerk system with hyperbolic tangent nonlinearity is considered.?The bifurcation analysis yields period doubling bifurcations, periodic windows, antimonotonicity, chaos, and a plethora of coexisting (strange) attractors.?PSpice based simulations are carried out to verify the theoretical results.AbstractIn the present contribution, the dynamics of a simple autonomous jerk system with hyperbolic tangent nonlinearity is considered. The system consists of a linear transformation of Model MO13 previously introduced in [Sprott, 2010]. The form of nonlinearity is interesting in the sense that with the variation of a control parameter, saturation may be approached gradually obeying hyperbolic tangent function, as in the case of magnetization in ferromagnetic system, non ideal op. amplifier, solar-wind-driven magnetosphere-ionosphere system, and activation function in neural network. The fundamental properties of the model are discussed inclu