Bifurcation schemes of the Lorenz model

DOI10.1016/0167-2789(84)90441-XzbMath0593.58025OpenAlexW1990614122MaRDI QIDQ1076388

B. George

Publication date: 1984

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90441-x

zbMATH Keywords

Lorenz equationsfluid turbulenceintermittent turbulenceglobal study of the Lorenz equationtangent bifurcations

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

BASIC PROPERTIES AND CHAOTIC SYNCHRONIZATION OF COMPLEX LORENZ SYSTEM ⋮ On two-parameter bifurcation analysis of the periodic parameter-switching Lorenz oscillator ⋮ Bursting phenomena as well as the bifurcation mechanism in controlled Lorenz oscillator with two time scales ⋮ Impulsive control and synchronization of complex Lorenz systems ⋮ HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS

Cites Work

• Observation of a strange attractor
• A description of the Lorenz attractor at high Prandtl number
• Preturbulence: A regime observed in a fluid flow model of Lorenz
• The Lorenz equations: bifurcations, chaos, and strange attractors
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• The inverse scattering transform: Semi-infinite interval
• Periodic Solutions and Bifurcation Structure at High R in the Lorenz Model
• Deterministic Nonperiodic Flow
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