Lagrangian formulation of the linear autonomous magnetization dynamics in spin-torque auto-oscillators - Consolo, G.; Gubbiotti, G.; Giovannini, L.; Zivieri, R. (Applied mathematics and computation, 2011)
Keywords: Auto-oscillators; Autonomous; Autonomous dynamics; Complex generalized non-Hermitian Eigenproblem; Dissipation; Dynamical systems; Dynamics; Exact sciences and technology; Excitation; Global analysis, analysis on manifolds; Lagrange equations; Landau–Lifshitz–Gilbert equation; Magnetization; Mathematical analysis; Mathematical models; Mathematics; Micromagnetics; Numerical analysis; Numerical analysis. Scientific computation; Rayleigh dissipation function; Sciences and techniques of general use; Spin-transfer torque; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Lagrange equations; Complex generalized non-Hermitian Eigenproblem; Spin-transfer torque; Landau–Lifshitz–Gilbert equation; Autonomous dynamics; Auto-oscillators; Rayleigh dissipation function; Micromagnetics; Lagrangian; Complex generalized non-Hermitian; Lagrange equation; Numerical analysis; Landau―Lifshitz―Gilbert equation; Applied mathematics; Dissipative system; Eigenvalue problem; Eigenproblem; Steady state solution; Landau Lifshitz equation