Chaos at Nonlinear NMR
A.Ugulava, S.Chkhaidze, L.Chotorlishvili, Z.Rostomashvili
TL;DR
This paper investigates the complex behavior of magnetization in nonlinear NMR, revealing how different parameters lead to distinct topological hodographs separated by separatrices.
Contribution
It introduces a topological analysis of hodographs in nonlinear NMR, highlighting the dependence on amplitude and frequency shift.
Findings
Different hodograph topologies are identified.
Separation of hodographs by separatrices is demonstrated.
Dependence on amplitude and frequency shift is established.
Abstract
The hodographs of magnetization of nonlinear nuclear magnetic resonance are investigated in the conditions of resonance on the unshifted frequency. It is shown that, depending on the value of amplitude of the variable field and value of frequency shift, topologically different hodographs separated from each other by separatrix are obtained.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Molecular spectroscopy and chirality · Nonlinear Dynamics and Pattern Formation