The Hopf bifurcation in the Lorenz model by the 2-timing method

DOI10.1016/0378-4371(86)90030-0zbMath0667.58046OpenAlexW2000367117MaRDI QIDQ1117538

S. H. Smith

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0378-4371(86)90030-0

zbMATH Keywords

bifurcationHopf radiusLorenz parameters

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Dynamical transition and chaos for a five‐dimensional Lorenz model ⋮ Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems ⋮ Comments on ``Dynamics of the general Lorenz family by Y. Liu and W. Pang

Cites Work

• Perturbation methods in applied mathematics
• Applications of centre manifold theory
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Integral averaging and bifurcation
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Deterministic Nonperiodic Flow

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