General Objective of this Research Line With the advent of the memristor as a real device, several topics of research have been tackled by scholars in recent years. Our work at INAOE is mainly focussed on the development of a comprehensive theory for the modelling and simulation of memristor and mem-devices that can be applied to the design, simulation and characterisation of memristive circuits. Topics of research Development of Memristor Models. By resorting to different types of mathematical methodologies, novel models of the memristor are generated. The models should be thoroughly analysed in order to guarantee that they fulfil the fingerprints of the device. The models are used in the design of specific memristive circuits. Development of a Simulation Technique for Memristive Circuits. A new paradigm of circuit simulation must be developed with the aim of permitting the simulation of circuits containing memeristors and mem-elements. Design Methodology for Memristive Circuits. The systematic design for certain classes of memristive circuits is developed.  Recent publications in this Research Line Arturo Sarmiento-Reyes, Luis Hernández-Martínez, Carlos Hernández Mejía, Gerardo Ulises Díaz Arango, Héctor Vázquez-Leal, “A fully symbolic homotopy-based memristor model for applications to circuit simulation”, 2014 IEEE 5th Latin American Symposium on Circuits and Systems LASCAS’2014, February, 2014. doi:10.1109/LASCAS.2014.6820269 — this work has been selected to be submitted as an extended version to the Springer Journal on Analog Integrated Circuits and Signal Processing (currently in press). Carlos Hernández Mejía, Arturo Sarmiento-Reyes, Héctor Vázquez Leal, “A Family of Memristive-Transfer Functions of Negative-Feedback Nullor.Based Amplifiers”, SPRINGER Circuits, Systems and Signal Processing, pp. 1—17, March 2015, doi: 10.1007/s00034-015-0013-9. G. Diaz-Arango, A. Sarmiento-Reyes, L. Hernandez-Martinez, H. Vazquez-Leal, D. D. Lopez-Hernandez, A. Marin-Hernandez, “Path optimization for terrestrial robots using Homotopy Path Planning Method”, IEEE International Symposium on Circuits and Systems, ISCAS’2015, May, 2015. Carlos Hernández Mejía, “Development of a modeling methodology for circuits with memristors”, PhD. Thesis, INAOE, 2015. Advisers: Arturo Sarmiento-Reyes and Héctor Vázquez Leal, INAOE. Types of collaborations Collaborations are mainly oriented, but not restricted, to the development of projects pursuing a Doctorate degree or a Master Science degree. Other types of collaborative projects are: Bachelor’s degree thesis (Tesis de Licenciatura). Residencias profesionales. Estancias de Servicio Social. Contact Further information can be obtained at jarocho@inaoep.mx or asarmiento@me.com

Dr. Arturo Sarmiento-Reyes, INAOE, Electronics Department.          jarocho@inaoep.mx      asarmiento@me.com