2013/07/28 by Valery A. Gaiko, Gaiko, Valery A.
Mathematics · Physics and Astronomy · #34C28 37D45 37G35 #Advanced Differential Equations and Dynamical Systems #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1307.8315
openalex publication_date 2013/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The classical Lorenz system is considered. For many years, this system has been the subject of study by numerous authors. However, until now the structure of the Lorenz attractor is not clear completely yet, and the most important question at present is to understand the bifurcation scenario of chaos transition in this system. Using some numerical results and our bifurcational geometric approach, we present a new scenario of chaos transition in the classical Lorenz system.