Yasmeen Neyaz Salwa - DR project

Dynamical Systems for Computation

Doctoral Researcher: Yasmeen Neyaz Salwa
Local ZEA-2 Supervisor: Stefan van Waasen
Academic Supervisor: Stefan van Waasen, University of Duisburg-Essen (UDE)
Topic: Neuromorphic Computing
Research Field: Information

Coupled oscillators provide a unique computational framework, where the interactions among individual oscillators impact their collective behaviour and produce emergent properties. This characteristic makes coupled oscillators an appealing avenue for advanced computing. In such systems, the primary representation of information is through the frequencies and phases of oscillatory signals, with the signal amplitude potentially playing a secondary role. Moreover, the introduction of time delay among the coupled oscillators makes the system high dimensional as they exhibit dependence on past values, and display rich behaviour.

The aim of the project is to develop scalable coupled oscillator circuits that incorporate adjustable coupling delay, enabling the realization of a variety of dynamical states suitable for computational purposes. The fundamental element used for this work will be a CMOD Ring Oscillator.

Verification of the dynamical states and a proof-of-concept will be demonstrated with a focus on a reduced tape-out process. This comprehensive approach will provide valuable insights into the feasibility and effectiveness of the proposed coupled oscillator circuits.

References

[1] Gyorgy Csaba, Wolfgang Porod, Coupled oscillators for computing: A review and perspective. Applied Physics Reviews, 1 March 2020, 7 (1): 011302. https://doi.org/10.1063/1.5120412
[2] Leon Chua , Memristor, Hodgkin–Huxley, and Edge of Chaos, 2013 Nanotechnology 24 383001. DOI: 10.1088/0957-4484/24/38/383001
[3] Mondal, H., Pathak, A., Banerjee, T., & Mandal, M. K. (2023). Ring Oscillators Under Nonlinear Coupling: Bifurcation and Chaos. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 21(1), 248668. https://doi.org/10.37936/ecti-eec.2023211.248668
[4] Ebrahimzadeh, P., Schiek, M., Jaros, P. et al. Minimal chimera states in phase-lag coupled mechanical oscillators. Eur. Phys. J. Spec. Top. 229, 2205–2214 (2020). https://doi.org/10.1140/epjst/e2020-900270-4
[5] Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, Dynamics of Nonlinear Time-Delay Systems, Springer, 04 January 2011 .https://doi.org/10.1007/978-3-642-14938-2

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