Bounds for compact invariant sets of the system describing dynamics of the nuclear spin generator

DOI10.1016/J.CNSNS.2008.08.005zbMath1221.34091OpenAlexW2033197219MaRDI QIDQ716775

Konstantin E. Starkov

Publication date: 2 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.08.005

zbMATH Keywords

localizationcompact invariant setnuclear spin generator equations

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Symmetries, invariants of ordinary differential equations (34C14) Stability of solutions to ordinary differential equations (34D20)

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Cites Work

• Generalized synchronization of nuclear SPIN generator system
• Periodic and chaotic solutions for a nonlinear system arising from a nuclear spin generator
• Estimations of domains with cycles
• Controlling chaotic behaviour for spin generator and Rössler dynamical systems with feedback control
• The Rikitake two-disk dynamo system and domains with periodic orbits
• Localization of compact invariant sets of the Lorenz system
• ESTIMATION OF THE DOMAIN CONTAINING ALL COMPACT INVARIANT SETS OF THE OPTICALLY INJECTED LASER SYSTEM
• A Negative Bendixson-Like Criterion for a Class of Hybrid Systems
• LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS WITH APPLICATIONS TO THE LANFORD SYSTEM
• STABILITY AND BIFURCATIONS OF PHASE-LOCKED LOOPS FOR DIGITAL SIGNAL PROCESSORS
• Unnamed Item

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