Chua foresaw the possibility of a fourth primitive circuit element based on possible current and voltage behavior, the axiomatic approach used by Aristotle to recognize air, water, earth and fire as combinations of heat and moisture.
Professor Leon Chua offers a peek into his life’s work, exploring distinct research areas that have all emerged from highly nonlinear dynamical phenomena including memristors, cellular nonlinear networks, the principle of local activity and the edge of chaos.
Chua was a member of the faculty at Purdue University from 1964 to 1970 before joining Berkeley in 1971. His current research interests include cellular neural/nonlinear networks, nonlinear circuits and systems, nonlinear dynamics, bifurcation theory and chaos theory. wikipedia 
I struggled with HP's onerous login-to-view these lectures and gave up after three. Now I find they are on YouTube and collected by the Chua Memristor Center. page
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Intel's takedown of HP's enthusiasm: The memory resistor abbreviated memristor was a harmless postulate in 1971. In the decade since 2008, a device claiming to be the missing memristor is on the prowl, seeking recognition as a fundamental circuit element, sometimes wanting electronics textbooks to be rewritten, always promising remarkable digital, analog and neuromorphic computing possibilities. pdf
The case for rejecting the memristor as a fundamental circuit element. nature