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Mathematical derivations have unveiled a chaotic, memristor-based circuit in which different oscillating phases can co-exist along six possible lines.

Unlike ordinary electronic circuits, chaotic circuits can produce oscillating that never repeat over time—but nonetheless, display underlying mathematical patterns. To expand the potential applications of these circuits, previous studies have designed systems in which multiple oscillating phases can co-exist along mathematically-defined "lines of ." In new research published in The European Physical Journal Special Topics, a team led by Janarthanan Ramadoss at the Chennai Institute of Technology, India, designed a chaotic circuit with six distinct lines of equilibrium—more than have ever been demonstrated previously.

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