The discovery that chaos and order are specially connected is now a mathematical foundation. Chaotic behavior occurs in deterministic systems; statistical analyses of chaotic systems yield definite predictions. This discovery affects mathematical applications of probabilistic and deterministic evolution equations in issues such as planetary motion, ocean currents and population dynamics.
Mathematician Yakov G. Sinai contributed these important discoveries to the scientific field of mathematics. The Norwegian Academy of Science and Letters awarded Sinai the Abel Prize for his foundational work in the theory of dynamical systems, in ergodic theory, in mathematical physics and in probability theory. The Abel Prize is considered the Nobel Prize of the mathematical world, since the Nobel does not award in the field of mathematics.