2019/07/05 by M. N. Ovchinnikov, М. Н. Овчинников, Ovchinnikov, M. N.
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1907.03599
7 pages,3 figures
arxiv created 2019/07/05 · openalex publication_date 2019/07/05 · arxiv updated 2019/07/09 · openalex created_date 2019/07/12 · openalex updated_date 2026/07/28
The dynamics of the system is investigated when one part of the system initially behaves in a regular manner and the other in a chaotic one. The propagation of the chaos is considered as the motion of a region with the maximal Lyapunov exponent greater than zero. The time dependencies of the chaos propagation parameters were calculated for the classical and non-local models of non-stationary heat transfer. The system responses were considered to disturbances in the form of the Dirac delta function and the Heaviside step function.