Chaotic solutions of the feedback driven Bloch equations

DOI10.1016/S0375-9601(02)01079-4zbMath0997.82045OpenAlexW2021987648MaRDI QIDQ1615010

Daniel Abergel

Publication date: 10 September 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)01079-4

zbMATH Keywords

chaotic attractorsmagnetizationradiation-damping

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Statistical mechanics of magnetic materials (82D40)

Related Items

Invariant set, solution bounds, and linear synchronization control for Bloch chaotic systems ⋮ Feedback control of spin systems ⋮ Transient chaos in fractional Bloch equations ⋮ Solving the fractional nonlinear Bloch system using the multi-step generalized differential transform method ⋮ Feedback schemes for radiation damping suppression in NMR: a control-theoretical perspective ⋮ Synchronization of chaotic behavior in nonlinear Bloch equations ⋮ GENERALIZED FRACTIONAL ORDER BLOCH EQUATION WITH EXTENDED DELAY ⋮ Bifurcation continuation, chaos and chaos control in nonlinear Bloch system ⋮ Local and global bifurcations in magnetic resonance force microscopy ⋮ Chaos in the fractional order nonlinear Bloch equation with delay ⋮ Chaos synchronization of nonlinear Bloch equations

Cites Work

• Determining Lyapunov exponents from a time series
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