Applied symbolic dynamics for the Lorenz-like map

1 August 1990

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 42 (4) , 2076-2080
https://doi.org/10.1103/physreva.42.2076

Abstract

By means of the kneading theory, the Lorenz-like map is studied based on admissibility conditions. A criterion for the existence of chaos is derived. The Farey transformation and a subzone of the nonchaotic region are discussed.

Keywords

This publication has 7 references indexed in Scilit:

First-return maps as a unified renormalization scheme for dynamical systems
Physical Review A, 1987
New Universal Scenarios for the Onset of Chaos in Lorenz-Type Flows
Physical Review Letters, 1986
Renormalization of Quasiperiodic Mappings
Physica Scripta, 1985
A possible new mechanism for the onset of turbulence
Physics Letters A, 1981
Structural stability of Lorenz attractors
Publications mathématiques de l'IHÉS, 1979
THE BIFURCATION SPACE OF THE LORENZ ATTRACTOR
Annals of the New York Academy of Sciences, 1979
A Strange, Strange Attractor
Published by Springer Nature ,1976