BOUNDING A DOMAIN THAT CONTAINS ALL COMPACT INVARIANT SETS OF THE BLOCH SYSTEM

DOI10.1142/S0218127409023457zbMath1167.34354OpenAlexW1997522250MaRDI QIDQ3391952

Konstantin E. Starkov

Publication date: 13 August 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127409023457

zbMATH Keywords

invariant setnonlinear systemcompact setlocalizationthe Bloch system

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Applications of statistical mechanics to specific types of physical systems (82D99)

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Cites Work

• Bifurcation continuation, chaos and chaos control in nonlinear Bloch system
• Estimations of domains with cycles
• Synchronization of chaotic behavior in nonlinear Bloch equations
• Localization of compact invariant sets of the Lorenz system
• ESTIMATION OF THE DOMAIN CONTAINING ALL COMPACT INVARIANT SETS OF THE OPTICALLY INJECTED LASER SYSTEM
• BOUNDS FOR THE SET CONTAINING ALL COMPACT INVARIANT SETS OF THE LINEARLY COUPLED LASER SYSTEM
• LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS WITH APPLICATIONS TO THE LANFORD SYSTEM

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