The origin the concept of LZ compexity is in information science. Here we use this notion to characterize chaotic dynamical systems. We make contact with the usual characteristics of chaos, such as Lyapunov exponent and K-entropy. It is shown that for a two-dimensional system LZ complexity is as powerful as other characteristics. We also apply LZ complexity to the study of the quasiperiodic Fibonacci sequence. We prove a theorem about its LZ complexity and based upon it conclude its long range order.
D. Arasteh, and M. R. Kolahchi, (2020). LZ complexity in chaotic dynamical systems and the quasiperiodic Fibonacci sequence. Iranian Journal of Physics Research, 1(4), 207-221.
MLA
D. Arasteh, , and M. R. Kolahchi, . "LZ complexity in chaotic dynamical systems and the quasiperiodic Fibonacci sequence", Iranian Journal of Physics Research, 1, 4, 2020, 207-221.
HARVARD
D. Arasteh , M. R. Kolahchi (2020). 'LZ complexity in chaotic dynamical systems and the quasiperiodic Fibonacci sequence', Iranian Journal of Physics Research, 1(4), pp. 207-221.
CHICAGO
D. Arasteh and M. R. Kolahchi, "LZ complexity in chaotic dynamical systems and the quasiperiodic Fibonacci sequence," Iranian Journal of Physics Research, 1 4 (2020): 207-221,
VANCOUVER
D. Arasteh , M. R. Kolahchi LZ complexity in chaotic dynamical systems and the quasiperiodic Fibonacci sequence. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2020; 1(4): 207-221.
