Dynamical System Approach to Nonlinear Magnetization Dynamics

Venue:  Seminar Room “-1” – Department of Mathematics
Time: 15:00 punctual

• Speaker: Giorgio Bertotti - INRIM (Istituto Nazionale di Ricerca Metrologica) di Torino

Abstract:
The application of methods of dynamical system theory and bifurcation theory to the study of the solutions of Landau-Lifshitz equation will be discussed. Particular attention will be devoted to the case of nanomagnets with spatially uniform magnetization, driven by time-harmonic external magnetic fields. An overview will be given of a number of strictly interrelated aspects:

• the interpretation of Landau-Lifshitz dynamics as a nonlinear dynamical system on the unit sphere;
• the role of symmetry in rotationally invariant systems;
• the existence of a generalized two-potential formulation of the dynamics;
• the onset of chaotic heteroclinic-entanglement phenomena when the rotational symmetry is broken;
• the role of thermal fluctuations in ac-field-assisted magnetization relaxation.

Contact person: Augusto Visintin