Dynamics of a Modified Sprott A System

Dynamics of a Modified Sprott A System

Blog Article

We examine a modified Sprott A system, one of Mug the 17 chaotic systems without equilibria introduced by Jafari, Sprott, and Golpayegani (2013).For specific parameter values, the modified system exhibits invariant spheres.Using a stereographic map, we analyze the stability of the equilibria Dishwasher Basket Plate Rack and demonstrate that all orbits, except for the unstable equilibrium, converge to the stable equilibrium.

For other parameter values, the system has neither invariant spheres nor equilibria.Instead, the state space is foliated by tori.