IJANSER-International Journal of Advanced Natural Sciences and Engineering Researches, cilt.10, sa.2, ss.20-26, 2026 (Hakemli Dergi)
Nonlinear signals have been extensively utilized in encryption and decryption applications,
representing a significant area of research within chaos theory. Such signals are highly sensitive to initial
conditions and system parameters; consequently, even minor variations in the underlying mathematical
formulation can produce substantially different nonlinear waveforms, a phenomenon commonly referred to
as the butterfly effect. Electrocardiographic (ECG) signals, which reflect the fundamental physiological
activity of the human heart, and electroencephalographic (EEG) signals, which are closely related to
cerebral activity and influenced by blood flow dynamics, also exhibit nonlinear characteristics due to their
intrinsic nonlinear and complex structures. In this study, a novel bio-inspired nonlinear oscillator with two
outputs is proposed, incorporating ECG and EEG signals. Unlike classical nonlinear oscillators reported in
the literature, such as the Chua, Sprott, and Lorenz systems, which are primarily based on idealized
mathematical models, the proposed oscillator integrates physiological signal dynamics. This integration
enables the generation of distinct nonlinear signals corresponding to different heart rhythms for use in
encryption and decryption processes, thereby enhancing the robustness and security of data transmission.