TY - JOUR

T1 - Centroidal trajectories and frames for chaotic dynamical systems

AU - Yamrom, Boris

AU - Kunin, Isaak A.

AU - Chernykh, German A.

PY - 2003/3/1

Y1 - 2003/3/1

N2 - The centroidal trajectories and frames for chaotic dynamical systems were presented. By discretization of time and space a new structure was added to the dynamical system. It allowed to describe the system without resorting to the concept of infinity thus reducing the gap between the pure mathematical dynamical systems and physical dynamical systems. The proposed algorithms reduced chaotic attractors to sets of cyclical orbits and the subsequent statistical analysis of these orbits revealed nobel system invariants.

AB - The centroidal trajectories and frames for chaotic dynamical systems were presented. By discretization of time and space a new structure was added to the dynamical system. It allowed to describe the system without resorting to the concept of infinity thus reducing the gap between the pure mathematical dynamical systems and physical dynamical systems. The proposed algorithms reduced chaotic attractors to sets of cyclical orbits and the subsequent statistical analysis of these orbits revealed nobel system invariants.

KW - Discrete chaos

KW - Kolmogorov complexity

KW - Lorenz system

UR - http://www.scopus.com/inward/record.url?scp=0037335456&partnerID=8YFLogxK

U2 - 10.1016/S0020-7225(02)00217-3

DO - 10.1016/S0020-7225(02)00217-3

M3 - Article

AN - SCOPUS:0037335456

VL - 41

SP - 465

EP - 473

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

SN - 0020-7225

IS - 3-5

ER -