• L.-H. Yu, B. Nash
  BNL, Upton, Long Island, New York

We present a newly developed method to analyze some non-linear dynamics problems such as the Henon map using a linear matrix analysis method in linear algebra. Using the Henon map as an example, we analyze the spectral structure, the tune-amplitude dependence, the variation of tune and amplitude during the particle motion, etc., using the method of analysis of eigenvectors in Jordan spaces which is widely used in conventional linear algebra.