Periodic signal detection with using chaotic system phase portrait processing in poincare section

У роботі проведено аналіз процесу виявлення періодичних радіосигналів за допомогою хаотичної системи Дуффінга. В результаті аналізу розроблено модель виявлення періодичних сигналів шляхом обробки перерізу Пуанкаре для фазового портрету системи Дуффінга, яка працює у хаотичному режимі, без переходу до періодичного режиму.The aim of this research is the development of periodic signal detection method on the base of Duffing system Poincare map processing. The chaosbased signal detection methods utilize the sensitivity of chaotic systems to weak periodic signals under strong noise. Mostly chaosbased detection methods are based on chaoticto periodic system state transition under the input signal periodic component influence. But such methods are not popular in practical applications because of the critical state control problem complexity. The method presented does not include the critical state control process. The Duffing system can work with different exciting signal amplitudes in chaotic state. The decision about the presence or absence of periodic signal is made on the base of Duffing system phase portrait processing in Poincare section. Thus the chaosbased signal detection method developed removes the restriction of the minimum input signaltonoise ratio, which is caused by the critical state control error