A family of periodic motions to chaos with infinite homoclinic orbits in the Lorenz system

DOI10.1134/S1995080222020093zbMath1496.37022OpenAlexW4226247819MaRDI QIDQ2121925

Siyu Guo, Albert C. J. Luo

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222020093

zbMATH Keywords

Lorenz systemhomoclinic orbitsperiodic motionsLorenz attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of attractors and their bifurcations (37G35) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Uses Software

• periodic_sols

Cites Work

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