Synchronization of chaotic behavior in nonlinear Bloch equations

DOI10.1016/S0375-9601(03)00864-8zbMath1035.34037OpenAlexW1985568255MaRDI QIDQ1396603

Ahmet Uçar, Karl E. Lonngren, Er-wei Bai

Publication date: 6 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00864-8

zbMATH Keywords

chaotic solutionsnonlinear control theorynonlinear Bloch equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Control problems involving ordinary differential equations (34H05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Statistical mechanics of magnetic materials (82D40)

Related Items (11)

Invariant set, solution bounds, and linear synchronization control for Bloch chaotic systems ⋮ Solving the fractional nonlinear Bloch system using the multi-step generalized differential transform method ⋮ Initial rectified attractors for perfect synchronization of chaotic systems ⋮ Synchronizing different chaotic systems using active sliding mode control ⋮ Bifurcation continuation, chaos and chaos control in nonlinear Bloch system ⋮ Chaos in the fractional order nonlinear Bloch equation with delay ⋮ Comparative study of various methods for synchronizing two different chaotic systems ⋮ BOUNDING A DOMAIN THAT CONTAINS ALL COMPACT INVARIANT SETS OF THE BLOCH SYSTEM ⋮ Synchronization and antisynchronization of a planar oscillation of satellite in an elliptic orbit via active control ⋮ Synchronization of the unified chaotic systems via active control ⋮ Chaos synchronization of nonlinear Bloch equations

Cites Work

• On the Uçar prototype model
• A prototype model for chaos studies
• Synchronization of two Lorenz systems using active control.
• Chaotic solutions of the feedback driven Bloch equations
• Synchronization in chaotic systems
• Unnamed Item

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