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You searched for +publisher:"Georgia Tech" +contributor:("Feodor Vainstein"). One record found.

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Georgia Tech

1. Sanchez, Jose Luis Hernandez. A Study of Dynamics of Coupled Nonlinear Circuits.

Degree: PhD, Mathematics, 2005, Georgia Tech

We consider a type of forced "Van Der Pol" oscillator where the forced function is periodic and oscillatory around the t-axis. This problem derived from an electrical model. The important issues here is that this circuits presents the spiking phenomena over a one time period and it has important applications in signal processing and digital communication. The three most important problems that we addressed here in this thesis are to compute the number of spikes a solution completes in one time period (it can be used to transform the analog signal into digital information), how the dynamics of the number of spikes change with respect to the parameters amplitude (k) and frequency (w), and when the coupled circuits synchronize (i.e., the driver and the respond are on synchronous). Sophisticated mathematical and numerical analysis has been developed that enable us to give a complete study of the problems above described. Advisors/Committee Members: Shui-Nee, Chow (Committee Chair), Dieci Luca (Committee Member), Feodor Vainstein (Committee Member), Wang Yang (Committee Member), Yi Yingfei (Committee Member).

Subjects/Keywords: Spikes solutions; Synchronization; Coupled nonlinear circuits; Van der Pol oscillators (Physics); Numerical analysis

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Sanchez, J. L. H. (2005). A Study of Dynamics of Coupled Nonlinear Circuits. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/6984

Chicago Manual of Style (16th Edition):

Sanchez, Jose Luis Hernandez. “A Study of Dynamics of Coupled Nonlinear Circuits.” 2005. Doctoral Dissertation, Georgia Tech. Accessed July 23, 2019. http://hdl.handle.net/1853/6984.

MLA Handbook (7th Edition):

Sanchez, Jose Luis Hernandez. “A Study of Dynamics of Coupled Nonlinear Circuits.” 2005. Web. 23 Jul 2019.

Vancouver:

Sanchez JLH. A Study of Dynamics of Coupled Nonlinear Circuits. [Internet] [Doctoral dissertation]. Georgia Tech; 2005. [cited 2019 Jul 23]. Available from: http://hdl.handle.net/1853/6984.

Council of Science Editors:

Sanchez JLH. A Study of Dynamics of Coupled Nonlinear Circuits. [Doctoral Dissertation]. Georgia Tech; 2005. Available from: http://hdl.handle.net/1853/6984

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