Vamvaka, Vasiliki (2020) Synchronization in electrical circuits with memristive elements. Master's Thesis / Essay, Applied Mathematics.
|
Text
Msc_AppliedMath_2020_Vamvaka_Vasiliki.pdf Download (2MB) | Preview |
|
![[img]](https://fse.studenttheses.ub.rug.nl/style/images/fileicons/text.png) |
Text
toestemming.pdf Restricted to Registered users only Download (120kB) |
Abstract
This thesis presents and analyzes the dynamics of electrical circuits with memristive components. Memristive devices add a new dimension for modelling innovative circuits and systems in a wide range of applications, such as neural networks, storage devices and neuromorphic circuits- in which the memristive devices can act as artificial synapses. The main property of memristive devices is the non-volatile memory, which makes memristors ideal as potential building blocks for neuromorphic computer architectures. Neuromorphic computing is a new technology inspired by the human brain, with great potential to enable information processing at very low cost, using electronic devices that imitate the electrical behavior of biological neural networks. First, we study synchronization in networks consisting of memristors and capacitors. Subsequently, electrical circuit models of (biological) neurons coupled via memristors are considered. Accordingly, the system of differential equations that simulate the well-known FitzHugh-Nagumo (FHN) neuron model is adopted, in order to derive a sufficient condition on the coupling coefficient to guarantee synchronization of FHN neuron memristor network, by using Lyapunov stability theory. Finally, simulation results illustrate the synchronization phenomena of the proposed electrical circuits.
| Item Type: | Thesis (Master's Thesis / Essay) |
|---|---|
| Supervisor name: | Besselink, B. and Sterk, A.E. |
| Degree programme: | Applied Mathematics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 23 Nov 2020 09:32 |
| Last Modified: | 23 Nov 2020 09:32 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/23615 |
Actions (login required)
 |
View Item |