Bifurcation-reconnection sequences in nonpendular resonance

In this paper, we show how a whole set of primary resonances can be generated by a definite sequence of bifurcation-reconnections in a nonlinear Hamiltonian system. The resonance generation is accomplished from a sequence of tangent inverse bifurcations followed by reconnection processes inside a nonpendular island nonmonotonic in the frequency. The stability of the nonpendular island is found to be unaffected by these processes except for the [2:1] resonance, where it presents a window of instability. In particular, we consider the problem of particle acceleration in a plasma media and discuss possible implications of the instability window on the acceleration process.