Sensitive detection schemes for small variations in the damping coefficient based on the Duffing-Holmes oscillator with a potential application in magnetic sensing

Abstract

In this work we proposed two detection schemes based on the non-linear properties of the Duffing-Holmes oscillator for the detection of small variations in the damping coefficient. Theoretically, variations in the damping coefficient up to 0.001% with the possibility to be pushed further can be detected based on our model. A potential on-off magnetic sensor suitable for biomedical applications is suggested by implementing these two schemes with Giant Magnetoresistance based magnetic sensors.

Parameter estimation method for a linear frequency modulation signal with a Duffing oscillator based on frequency periodicity

“…Then, with increasing F, the system will sequentially experience periodic oscillation, homoclinic orbit, period-doubling bifurcation, chaotic state, intermittent chaotic state and large-scale periodic state. [18,19] The traditional Duffing oscillator signal detection method mainly uses the phase state transition of the Duffing oscillator from a chaotic state to a large-scale periodic state. That is, take F = F c ; at this time, the system is in a critical chaotic state.…”

Dynamics of Duffing-Holmes oscillator with fractional order nonlinearity

“…It is well known that the Duffing-Holmes oscillator is a nonlinear dynamical system that can exhibit chaotic behavior at certain conditions. Due to this merit, it has been used in many applications especially in weak signal detection in strong noise environment [1][2][3][4]. This is in addition to the wide potential applications for chaotic systems in general in several fields such as communications [5][6][7], medicine and biology [8][9][10], mechanical and electrical engineering [7,11,12], and economy [13].…”