Nonlinear Dynamics of the Colpitts Chaotic Oscillator Under Bias Voltage Tuning

This article investigates the nonlinear dynamics of the Colpitts chaotic oscillator influenced by a DC bias source, proposing a novel method for controlling and stabilizing chaos. Chaotic oscillators are widely utilized in secure communication and random number generation applications, where maintaining robust chaotic behavior is crucial. Traditionally, adjusting the dynamics of analog chaotic oscillators requires modifying hardware components, making transitions between different operating modes complex and impractical. Furthermore, long-term component degradation and variations in nominal values can lead to an unintended transition from chaos to periodicity, compromising system security and performance. In this study, we demonstrate that bias voltage tuning provides a flexible and effective means to control and stabilize the chaotic dynamics of the Colpitts oscillator. The findings establish bias voltage control as a practical and reliable solution for sustaining chaos, ensuring long-term stability and adaptability of chaotic behavior. This method enhances chaotic oscillators’ reliability and practical applicability in security and signal processing applications, reducing dependency on hardware modifications.