Memristive Dynamics

Memristor, the fourth basic circuit element proposed by Chua in 1971,  is a memory resistor with potential applications in science, engineering and technology.  It has already been realized on TiO2  thin film by HP labs in 2008 (though there are still disputes).  The relationship between current and magnetic induction, which is what defines  the memristor, plays a central role in memristor operation. The goal of the project is to understand the memristor operation from both the electrical and mechanical viewpoints, and determine what mechanical structure it implies. 
The phases of the project are as follows (each phase involves literature search):
1) Learning the memristor (reviewing basic circuit elements, reading the related literature)
2) Learning mechanical analogs of the circuit elements (reading the literature)
3) Constructing memristor circuits with mechanical analogs and determining their mechanical implications.
4) Forming dynamics with and without memeory (introduction to inverse pendulum problem).
This project might be useful for further research on basic physics as well as memory devices.
Important Note: In desiging this project, I have benefited from discussions with  Güleser K. Demir of Dokuz Eylül University, Electrical and Electronics Engineering Department.  In the implementation, I may contact professor Demir and she may have intellectual rights on the results of the project depending on her contribution.