Memristor Based Chaotic System
This Demonstration illustrates a memristor based chaotic system that can also be built on a breadboard. For instructions on building this circuit, see the Details section. The memristor was postulated as the fourth circuit element by Leon O. Chua  (the other three circuit elements being the resistor, capacitor, and inductor). In 2008, HP labs  synthesized a physical memristor for potential applications in nano-memories, thereby cementing its place as the fourth fundamental circuit element.
For information on how to build this circuit on a breadboard, see B. Muthuswamy, "Implementing Memristor Based Chaotic Circuits" (PDF).
 L. O. Chua, "Memristor—The Missing Circuit Element," IEEE Transactions on Circuit Theory, CAT-18(5), 1971 pp. 507-519.
 D. B. Strukov, G. S. Snider, D. R. Stewart, and R. S. Williams, "The Missing Memristor Found," Nature, 453, 2008 pp. 80–83.