  Environment-induced decoherence has long been recognised as being of crucial
importance in the study of chaos in quantum systems. In particular, the exact
form and strength of the system-environment interaction play a major role in
the quantum-to-classical transition of chaotic systems. In this work we focus
on the effect of varying monitoring strategies, i.e. for a given decoherence
model and a fixed environmental coupling, there is still freedom on how to
monitor a quantum system. We show here that there is a region between the deep
quantum regime and the classical limit where the choice of the monitoring
parameter allows one to control the complex behaviour of the system, leading to
either the emergence or suppression of chaos. Our work shows that this is a
result from the interplay between quantum interference effects induced by the
nonlinear dynamics and the effectiveness of the decoherence for different
measurement schemes.
