Sepsis is one of the leading causes of death in intensive care. About 50% of patients with septic shock die after 1 year; and 50% of survivors suffer from cognitive decline. The pathophysiological mechanisms of serious complications of sepsis are now well known. In fact, the systemic inflammation related to sepsis amplifies the release of pro-inflammatory cytokines and neurotoxic mediators, hence an increase in deleterious phenomena such as oxidative stress, mitochondrial dysfunction, endothelial activation, disruption of the blood-brain barrier, neuroinflammation (astrocytic and microglial activation) leading to multi-organ failure which compromises the patient's vital and functional prognosis. Although there has been progress in the understanding of its pathophysiology, the management of sepsis and septic shock in intensive care relies mainly on anti-infective treatments and the restoration of cardiovascular and respiratory functions. There is virtually no adjuvant therapy for the management of sepsis, apart from a few hormonal therapies such as insulin to maintain blood glucose levels below 180 mg / dL and low doses of corticosteroids and vasopressin. There is therefore a pressing need to develop innovative treatments targeting inflammatory and immunological processes in order to reduce the complications of sepsis and improve patient prognosis. Some recent work has shown that electrical vagus nerve stimulation (SNV), a technique used for the treatment of drug-resistant epilepsy, can modulate inflammatory and immune responses and control inflammation syndrome in animal models of sepsis, arthritis and rheumatism in humans. In this pilot study the investigators plan to evaluate the efficacy of transcutaneous (non-invasive) SNV as an adjuvant treatment in patients with sepsis in intensive care.