Strange nonchaotic attractors for computation

Abstract

We investigate the response of quasiperiodically driven nonlinear systems exhibiting strange non- chaotic attractors (SNAs) to deterministic input signals. We show that if one uses two square waves in aperiodic manner as input to a quasiperiodically driven double-well Duffing oscillator system, the response of the system can produce logical output controlled by such a forcing. Changing the threshold or biasing of the system changes the output to another logic operation and memory latch. The interplay of nonlinearity and quasiperiodic forcing yields logic behaviour and the emergent out- come of such a system is a logic gate. It is further shown that the logical behaviours persist even for experimental noise floor. Thus the SNA turns out to be an efficient tool for computation.

arXiv comment10 pages, 12 figures, accepted in Physical Review E

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Cited by in corpus (3)

• Realization of all logic gates and memory latch in the SC-CNN cell of the simple nonlinear MLC circuit
• Emergent noise-aided logic through synchronization
• Route to logical strange nonchaotic attractors with single periodic force and noise