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We investigate the dynamics of an injection locked in-plane uniform spintorque oscillator for several forcing configurations at large drivingamplitudes. For the analysis, the spin wave amplitude equation is used toreduce the dynamics to a general oscillator equation in which the forcing is acomplex valued function $F(p,{\psi})\propto{\epsilon}_1(p)cos({\psi})+i{\epsilon}_2 (p)sin({\psi})$. Assuming that the oscillator isstrongly nonisochronous and/or forced by a power forcing$(|{\nu}{\epsilon}_1/{\epsilon}_2 |\gg 1)$, we show that the parameters${\epsilon}_{1,2} (p)$ govern the main bifurcation features of the Arnoldtongue diagram : (i) the locking range asymmetry is mainly controlled by$d{\epsilon}_1 (p)/dp$, (ii) the Taken-Bogdanov bifurcation occurs for a powerthreshold depending on ${\epsilon}_{1,2} (p)$ and (iii) the frequencyhysteretic range is related to the transient regime through the resonantfrequency at zero mismatch frequency. Then, the model is compared with themacrospin simulation for driving amplitudes as large as $10^0-10^3 A/m$ for themagnetic field and $10^{10}-10^{12} A/m^2$ for the current density. Aspredicted by the model, the forcing configuration (nature of the drivingsignal, applied direction, the harmonic orders) affects substantially theoscillator dynamic. However, some discrepancies are observed. In particular,the prediction of the frequency and power locking range boundaries may bemisestimated if the hysteretic boundaries are of same magnitude order.Moreover, the misestimation can be of two different types according if thebifurcation is Saddle node or Taken Bogdanov. These effects are a furthermanifestation of the complexity of the dynamics in nonisochronousauto-oscillators.

Bifurcation analysis of strongly nonlinear injection locked spin torque oscillators