There are three classical attractors, a point which characterises a steady state system, a closed loop which characterises a periodic system, and a torus which combines several cycles. Smale discovered strange attractors which lead to chaotic dynamical systems. Strange attractors have detailed structure on all scales of magnification and were one of the early fractals to be studied.
May tatlong pangunahin attractors, isang point na characterises tibayan ng estado ng isang sistema, isang closed loop na characterises isang pana-panahon na sistema, at isang torus na pinagsasama ang ilang mga cycles. Smale natuklasan kakaibang attractors na humantong sa gulo dynamical system. Strange attractors may detalyadong istraktura sa lahat ng kaliskis ng mga parangal at ang isa sa mga unang bahagi ng fractals na aral.