This manuscript introduces two new chaotic oscillators based on autonomous Boolean\nnetworks (ABN), preserving asymmetrical logic functions. That means that the ABNs require\na combination of XOR-XNOR logic functions. We demonstrate analytically that the two ABNs\ndo not have fixed points, and therefore, can evolve to Boolean chaos. Using the Lyapunov\nexponentâ??s method, we also prove the chaotic behavior, generated by the proposed chaotic oscillators,\nis insensitive to incommensurate time-delays paths. As a result, they can be implemented using\ndistinct electronic circuits. More specifically, logic-gatesâ??, GALâ??, and FPGAâ??based implementations\nverify the theoretical findings. An integrated circuit using a CMOS 180nm fabrication technology is\nalso presented to get a compact chaos oscillator with relatively high-frequency. Dynamical behaviors\nof those implementations are analyzed using time-series, time-lag embedded attractors, frequency\nspectra, Poincare maps, and Lyapunov exponents.
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