Non-linear Mathematics

Cognitive Electronic Devices

G. L. Viviani, "Atomic Dynamics From Coupled Quantized Electronic Oscillators," in IEEE Access, vol. 10, pp. 134884-134898, 2022, doi: 10.1109/ACCESS.2022.3232459. https://ieeexplore.ieee.org/document/9999429

G. L. Viviani, "Multiple Potential Well Precision Oscillators," in IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 68, no. 8, pp. 2967-2971, Aug. 2021, doi: 10.1109/TCSII.2021.3063362. https://ieeexplore.ieee.org/document/9367305

G. L. Viviani, "Information Devices Based on Quantized Liénard-Hermite Oscillators," in IEEE Transactions on Molecular, Biological and Multi-Scale Communications, vol. 6, no. 2, pp. 81-92, Nov. 2020, doi: 10.1109/TMBMC.2020.3009959. https://ieeexplore.ieee.org/document/9143128

G. L. Viviani. Forced 2-D Energy Transitions Suitable for High Power Applications. IEEE Transactions on Plasma Science, 47(7):3228-3240, 2019.

Y. A. Saet and G. L. Viviani. Quasilinear and Relaxational Realms in Self-Oscillations. International Journal of Non-linear Mechanics, 26(5):701-709, 1991.

A. H. Noyola, W. M. Grady, and G. L. Viviani. An Optimized Procedure for Determining Incremental Heat Rate Characteristics. IEEE Transactions on Power Systems, 5(2):376-383, May 1990.

Y. A. Saet and G. L. Viviani. On the simulation of a paradigm of non-linear dynamics. Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits, SIAM, Editors: F.M.A. Salam and M.L. Levi, pages 150-155, 1988.

Y. Saet and G. Viviani. The stochastic process of transitions between limit cycles for a special class of self-oscillators under random perturbations. IEEE Transactions on Circuits and Systems, 34(6):691-695, 1987.

Y. A. Saet and G. L. Viviani. An Unorthodox Paradigm of a Relaxational Self-Oscillator and Some Classes of Nonlinear One-Ports. Journal of the Franklin Institute, Philadelphia, PA, 322(4):241-252, 1986.

Y. A. Saet and G. L. Viviani. A Practical Algorithm for Numerical Determination of Periodical Solutions in Nonlinear Oscillators. COMPEL, Boole Press, Dublin, Ireland, 5(3), 1986.

G. L. Viviani and Y. A. Saet. A new type of multi-state detector for adaptive control: an application to network switching. Taylor and Francis, London, 6(4):531-533, 1986.

Y. A. Saet and G. L. Viviani. On Lienard Oscillator Models with a Pregiven Set of Limit Cycles. Journal of Mathematical Modelling, 7:377-384, 1986.

G. L. Viviani. Complex Vector Load Flow. Electric Machines and Power Systems, 10:443-452, 1985.

Y. A. Saet and G. L. Viviani. Multi-stable Periodical Devices with Variations on the Theme of Van der Pol. Journal of the Franklin Institute, University of Pennsylvania, Philadelphia, PA, pages 373-382, December 1984.

G. L. Viviani. Generation Scheduling with Integral Constraints on Fuel Supplies. Electric Power Systems Research, 9:213-218, 1985.

Gary L. Viviani. Practical Optimization. IEEE Transactions on Power Apparatus and Systems, PAS-104(7):1691-1695, July 1985.

G. L. Viviani, C. E. Lin, and M. G. Webb. A Real Time Approach for Revising Generation Unit Performance Characteristics. IEEE Transactions on Power Apparatus and Systems, PAS-104(2):280-285, February 1985.

C. E. Lin and G. L. Viviani. Hierarchical Economic Dispatch for Piecewise Quadratic Cost Functions. IEEE Transactions on Power Apparatus and Systems, PAS-103(6):1170-1175, June 1984.

G. L. Viviani and G. T. Heydt. Stochastic Optimal Energy Dispatch. IEEE Transactions on Power Apparatus and Systems, PAS-100(7):3221-3228, July 1981.

G. L. Viviani and E. J. Delp. Foundational Metadata for Image Based Cognition. 2014 IEEE International Conference on Image Processing (ICIP), Paris, pages 2413-2417, October 2014.

G. L. Viviani, N. A. Parisi, W. G. Callahan, and L. M. Zimmermann. Achieving Next Generation Performance of Ion Implanters with the Varian Control System (VCS). Proceedings of the 2000 International Conference on Ion Implantation Technology, pages 419-422, September 2000.

G. L. Viviani and M. Falco. Optimal control of ion beam dynamics. Proceedings of 11th International Conference on Ion Implantation Technology, pages 241-244, 1996.

G. L. Viviani. Application of parafoils to microwave landing system siting. AIAA Conference, AIAA-93-1213:90-99, 1993.

G. L. Viviani. Hybrid MLS/GPS aircraft landing system. Institute of Navigation, 1993. withdrawn at the request of the Air Force due to GPS related sensitivities.

G. L. Viviani. Discrete Stochastic Process Monitoring for Large-scale Distributed Circuits. IEEE International Conference on Systems, Man and Cybernetics, pages 774-778, 1992.

Y. A. Saet and G. L. Viviani. On Transitions between Quasilinear and Relaxational Regimes in Self-oscillations. IEEE International Conference on CAS, Helsinki, June 1988. Session on Nonlinear and Neural Devices.

G. L. Viviani. On Synthesis and Design of Multi-stable Devices. IEEE International Conference on CAS, Helsinki, June 1988. Session on Nonlinear and Neural Devices.

G. L. Viviani, N. A. Parisi, and W. G. Callahan. Method and apparatus for controlling a system using hierarchical state machines, April 2002. United States Patent 6,374,144.

G. Viviani and C. Klingenschmitt. Hybrid Synthetic Aircraft Landing System, January 1995.

G. L. Viviani. Systems and methods for signal quantization, September 2017. United States Patent 9,753,068.