@article {15377,
	title = {Analytical Description of Quasi-Random Magnetization Relaxation to Equilibrium},
	journal = {Magnetics, IEEE Transactions on},
	volume = {45},
	year = {2009},
	month = {2009/11//},
	pages = {5224 - 5227},
	abstract = {The Landau-Lifshitz (LL) dynamics of a uniformly magnetized particle is considered. The LL equation is written in the form of a Hamiltonian perturbed dynamical system. By using suitable averaging technique, the equation for the slow dynamics of the energy is derived. The averaging technique breaks up in the case of separatrix crossing. It is shown that, in the limit of small damping, the separatrix crossing can be described by using a probabilistic approach.},
	keywords = {approach;quasirandom, crossing;uniformly, dynamical, dynamics;averaging, Hamiltonian, magnetization, magnetized, particle;magnetic, particles;magnetic, perturbed, relaxation;magnetisation;probability;, relaxation;separatrix, system;Landau-Lifshitz, technique;damping;probabilistic},
	isbn = {0018-9464},
	doi = {10.1109/TMAG.2009.2031067},
	author = {Serpico,C. and d{\textquoteright}Aquino,M. and Bertotti,G. and Mayergoyz, Issak D}
}
@article {15380,
	title = {Critical fields and pulse durations for precessional switching of thin magnetic films},
	journal = {Magnetics, IEEE Transactions on},
	volume = {39},
	year = {2003},
	month = {2003/09//},
	pages = {2504 - 2506},
	abstract = {The precessional switching process of a uniformly magnetized thin film with in-plane anisotropy subject to pulsed magnetic fields applied in the film plane is analyzed. Critical fields required to achieve switching are studied for the case when the applied field is constant during the pulse duration and forms arbitrary angles with the hard axis. By using two integrals of magnetization motion, the explicit expressions for the critical field are derived. The formulas for durations of rectangular magnetic field pulses that guarantee the precessional switching of magnetization are presented as well.},
	keywords = {anisotropy;, axis;, critical, durations;, field;, fields;, film;, films;, hard, in-plane, integrals;, magnetic, magnetisation, magnetization, magnetization;, magnetized, motion;, precessional, pulse, pulsed, rectangular, reversal;, switching;, thin, uniformly},
	isbn = {0018-9464},
	doi = {10.1109/TMAG.2003.816454},
	author = {Bertotti,G. and Mayergoyz, Issak D and Serpico,C.}
}
@article {15387,
	title = {Geometrical analysis of precessional switching and relaxation in uniformly magnetized bodies},
	journal = {Magnetics, IEEE Transactions on},
	volume = {39},
	year = {2003},
	month = {2003/09//},
	pages = {2501 - 2503},
	abstract = {Precessional switching and relaxation in a single-domain particle or film is studied by using the Landau-Lifshitz-Gilbert equation. The analysis of the switching process is based on the explicit knowledge of two integrals of motion for the magnetization dynamics in the conservative case. The knowledge of these integrals of motions enables one to carry out the geometrical analysis of the system and give the complete phase portrait. The relaxation process which occurs after the magnetization is reversed is analyzed by using geometrical methods and it is showed that the dynamical system exhibits entanglement of separatrices and riddled basins of attraction.},
	keywords = {analysis;, attraction;, basins, bodies;, dynamical, dynamics;, entanglement;, equation;, film;, films;, geometrical, integrals, Landau-Lifshitz-Gilbert, magnetic, magnetisation, magnetization, magnetized, motion;, of, particle;, particles;, phase, portrait;, precessional, relaxation;, reversal;, riddled, separatrices;, single-domain, spin, switching;, system;, thin, uniformly},
	isbn = {0018-9464},
	doi = {10.1109/TMAG.2003.816453},
	author = {Bertotti,G. and Mayergoyz, Issak D and Serpico,C. and d{\textquoteright}Aquino,M.}
}
@article {15399,
	title = {Perturbation technique for LLG dynamics in uniformly magnetized bodies subject to RF fields},
	journal = {Magnetics, IEEE Transactions on},
	volume = {38},
	year = {2002},
	month = {2002/09//},
	pages = {2403 - 2405},
	abstract = {The problem of magnetization dynamics of a uniformly magnetized uniaxial particle or film, under elliptically polarized applied field, is considered. In the special case of circularly polarized applied field and particles (films) with a symmetry axis, pure time-harmonic magnetization modes exist that can be computed analytically. Deviations from these highly symmetric conditions are treated as perturbation of the symmetric case. The perturbation technique leads to the exactly solvable system of linear differential equations for the perturbations which enables one to compute higher order magnetization harmonic. The analytical solutions are obtained and then compared with numerical results.},
	keywords = {analytical, anisotropy, anisotropy;, applied, bodies;, circularly, component;, constant-in-time, constant;, damping, demagnetisation;, demagnetizing, differential, dynamics;, effective, elliptically, equation;, equations;, exactly, factors;, field;, film;, films;, Frequency, gyromagnetic, harmonic;, higher, Landau-Lifshitz-Gilbert, large, linear, magnetic, magnetisation;, magnetization, magnetization;, magnetized, modes;, MOTION, order, partial, particle;, particles;, perturbation, polarized, radio, ratio;, RF, saturation, solution;, solvable, system;, technique;, techniques;, thin, time-harmonic, uniaxial, uniformly},
	isbn = {0018-9464},
	doi = {10.1109/TMAG.2002.803596},
	author = {Bertotti,G. and Mayergoyz, Issak D and Serpico,C.}
}
