New chaotic system with bounded attractor predicts unpredictable behavior in nature.
A new chaotic system with a specific attractor bounded in a sphere was discovered. The system is described in spherical coordinates and shows multistability, with all attractors inside or on the sphere's surface. The system's bifurcation diagram reveals a route to chaos through inverse period-doubling. Lyapunov exponents were used to study chaotic attractors and predict bifurcation points.