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Using bifurcation theory on a dynamical system simulating the interaction ofa particle with an obliquely propagating wave in relativistic regimes, wedemonstrate that uniform acceleration arises as a consequence of Hopfbifurcations of Landau resonant particles. The acceleration process arises as aform of surfatron established through the locking in pitch angle, gyrophase,and physical trapping along the wave-vector direction. Integrating thedynamical system for large amplitudes ($\delta B/B_0\sim0.1$) obliquelypropagating waves, we find that electrons with initial energies in the keVrange can be accelerated to MeV energies on timescales of the order ofmilliseconds. The Hopf condition of Landau resonant particles could underliesome of the most efficient energization of particles in space and astrophysicalplasmas.

Relativistic acceleration of Landau resonant particles as a consequence of Hopf bifurcations