Method for the dynamic management of at least a verbosity level (N Cp) of at least one component (C p) defined in a data network, said data network having a control centre (SUPERV), each component ((C p) pe[1;m]) permitting the execution of a set of tasks and comprising a security management configuration associating a status message, called a log, with the execution of a task (Tp k) by said component, each log (LOG pk) associated with a task indicating at least one event and having a local level (N Lk), a log (LOG pk) being sent to the control centre (SUPERV) when its local level (N Lk) is superior to the verbosity level (N Cp) of the component, the control centre (SUPERV) collecting a set of logs for the supervision of the said network, the control centre (SUPERV) comprising a memory in which are stored: • a set of components ( Pe[1;m]) of the network and for each component (Cp) a first verbosity level (NCp) associated with it and • a set of investigation scenarios including predefined stimuli, each predefined stimulus being associated with a recommended verbosity level. said method including: • a detection of a stimulus by the control centre (SUPERV), the stimulus corresponding to at least one event identified by a received log; • a determination of at least one component (C p) associated with the stimulus detected by the control centre (SUPERV); • a first change of said verbosity level of said component from the first verbosity level (N Cp) to a second verbosity level (N Cp) during a first given period (T 1), said change being engaged by the generation of a supervision command (MODIF(Nc)) by the control centre (SUPERV), said second verbosity level (N Cp) being defined according to the detected stimulus, the second verbosity level (N Cp) of the component (C p) being comprised between the first verbosity level (N Cp) and a maximum verbosity level of said component (N Cp (Max)), the value of the second verbosity level (N Cp) being generated as a function of an identified investigation scenario as a function of a determined stimulus comprising at least one event identified by a received log a of a performance data of said component associated to said log taken into account in the determination of the stimulus. • a set of components ( Pe[1;m]) of the network and for each component (Cp) a first verbosity level (NCp) associated with it and • a set of investigation scenarios including predefined stimuli, each predefined stimulus being associated with a recommended verbosity level. • a detection of a stimulus by the control centre (SUPERV), the stimulus corresponding to at least one event identified by a received log; • a determination of at least one component (C p) associated with the stimulus detected by the control centre (SUPERV); • a first change of said verbosity level of said component from the first verbosity level (N Cp) to a second verbosity level (N Cp) during a first given period (T 1), said change being engaged by the generation of a supervision command (MODIF(Nc)) by the control centre (SUPERV), said second verbosity level (N Cp) being defined according to the detected stimulus, the second verbosity level (N Cp) of the component (C p) being comprised between the first verbosity level (N Cp) and a maximum verbosity level of said component (N Cp (Max)), the value of the second verbosity level (N Cp) being generated as a function of an identified investigation scenario as a function of a determined stimulus comprising at least one event identified by a received log a of a performance data of said component associated to said log taken into account in the determination of the stimulus.