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Georgia Tech

1. Marcotte, Christopher D. Understanding sustained spiral chaos using non-chaotic solutions of a simple model of atrial excitation.

Degree: PhD, Physics, 2016, Georgia Tech

URL: http://hdl.handle.net/1853/56309

► Coherent relaxation and contraction of the heart muscle is essential for efficiently pumping blood through the circulatory system. This coordinated behavior can be disrupted by…
(more)

Subjects/Keywords: Spiral waves; Spiral chaos; Exact coherent structures; Floquet eigenfunctions; Dynamical systems; Pattern formation

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APA (6^{th} Edition):

Marcotte, C. D. (2016). Understanding sustained spiral chaos using non-chaotic solutions of a simple model of atrial excitation. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/56309

Chicago Manual of Style (16^{th} Edition):

Marcotte, Christopher D. “Understanding sustained spiral chaos using non-chaotic solutions of a simple model of atrial excitation.” 2016. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/56309.

MLA Handbook (7^{th} Edition):

Marcotte, Christopher D. “Understanding sustained spiral chaos using non-chaotic solutions of a simple model of atrial excitation.” 2016. Web. 20 Oct 2019.

Vancouver:

Marcotte CD. Understanding sustained spiral chaos using non-chaotic solutions of a simple model of atrial excitation. [Internet] [Doctoral dissertation]. Georgia Tech; 2016. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/56309.

Council of Science Editors:

Marcotte CD. Understanding sustained spiral chaos using non-chaotic solutions of a simple model of atrial excitation. [Doctoral Dissertation]. Georgia Tech; 2016. Available from: http://hdl.handle.net/1853/56309

Georgia Tech

2. Mayorga Tatarin, Sergio. On a classical solution to the master equation of a first order mean field game.

Degree: PhD, Mathematics, 2019, Georgia Tech

URL: http://hdl.handle.net/1853/61760

► For a first order (deterministic) mean-field game with nonlocal couplings, a classical solution is constructed for the associated, so-called master equation, a partial differential equation…
(more)

Subjects/Keywords: Mean field games; Master equation; Hamilton-Jacobi equations; Fixed-point method; Characteristic equations; Wasserstein gradient

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APA (6^{th} Edition):

Mayorga Tatarin, S. (2019). On a classical solution to the master equation of a first order mean field game. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/61760

Chicago Manual of Style (16^{th} Edition):

Mayorga Tatarin, Sergio. “On a classical solution to the master equation of a first order mean field game.” 2019. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/61760.

MLA Handbook (7^{th} Edition):

Mayorga Tatarin, Sergio. “On a classical solution to the master equation of a first order mean field game.” 2019. Web. 20 Oct 2019.

Vancouver:

Mayorga Tatarin S. On a classical solution to the master equation of a first order mean field game. [Internet] [Doctoral dissertation]. Georgia Tech; 2019. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/61760.

Council of Science Editors:

Mayorga Tatarin S. On a classical solution to the master equation of a first order mean field game. [Doctoral Dissertation]. Georgia Tech; 2019. Available from: http://hdl.handle.net/1853/61760

Georgia Tech

3. Ghanta, Rohan. The polaron hydrogenic atom in a strong magnetic field.

Degree: PhD, Mathematics, 2019, Georgia Tech

URL: http://hdl.handle.net/1853/61780

► It is shown that: (1) The ground-state electron density of a polaron bound in a Coulomb potential and exposed to a homogeneous magnetic field of…
(more)

Subjects/Keywords: Polaron; Strong magnetic fields

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APA (6^{th} Edition):

Ghanta, R. (2019). The polaron hydrogenic atom in a strong magnetic field. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/61780

Chicago Manual of Style (16^{th} Edition):

Ghanta, Rohan. “The polaron hydrogenic atom in a strong magnetic field.” 2019. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/61780.

MLA Handbook (7^{th} Edition):

Ghanta, Rohan. “The polaron hydrogenic atom in a strong magnetic field.” 2019. Web. 20 Oct 2019.

Vancouver:

Ghanta R. The polaron hydrogenic atom in a strong magnetic field. [Internet] [Doctoral dissertation]. Georgia Tech; 2019. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/61780.

Council of Science Editors:

Ghanta R. The polaron hydrogenic atom in a strong magnetic field. [Doctoral Dissertation]. Georgia Tech; 2019. Available from: http://hdl.handle.net/1853/61780

4. Vaidyanathan, Ranjini. Thermostated Kac models.

Degree: PhD, Mathematics, 2015, Georgia Tech

URL: http://hdl.handle.net/1853/54446

► We consider a model of N particles interacting through a Kac-style collision process, with m particles among them interacting, in addition, with a thermostat. When…
(more)

Subjects/Keywords: Kinetic theory; Spectral gap; Heat bath

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APA (6^{th} Edition):

Vaidyanathan, R. (2015). Thermostated Kac models. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/54446

Chicago Manual of Style (16^{th} Edition):

Vaidyanathan, Ranjini. “Thermostated Kac models.” 2015. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/54446.

MLA Handbook (7^{th} Edition):

Vaidyanathan, Ranjini. “Thermostated Kac models.” 2015. Web. 20 Oct 2019.

Vancouver:

Vaidyanathan R. Thermostated Kac models. [Internet] [Doctoral dissertation]. Georgia Tech; 2015. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/54446.

Council of Science Editors:

Vaidyanathan R. Thermostated Kac models. [Doctoral Dissertation]. Georgia Tech; 2015. Available from: http://hdl.handle.net/1853/54446

5. Awi, Romeo Olivier. Minimization problems involving polyconvex integrands.

Degree: PhD, Mathematics, 2015, Georgia Tech

URL: http://hdl.handle.net/1853/53901

► This thesis is mainly concerned with problems in the areas of the Calculus of Variations and Partial Differential Equations (PDEs). The properties of the functional…
(more)

Subjects/Keywords: Relaxation; Duality; Lack of compactness; Euler-lagrange equations and polar factorization

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APA (6^{th} Edition):

Awi, R. O. (2015). Minimization problems involving polyconvex integrands. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/53901

Chicago Manual of Style (16^{th} Edition):

Awi, Romeo Olivier. “Minimization problems involving polyconvex integrands.” 2015. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/53901.

MLA Handbook (7^{th} Edition):

Awi, Romeo Olivier. “Minimization problems involving polyconvex integrands.” 2015. Web. 20 Oct 2019.

Vancouver:

Awi RO. Minimization problems involving polyconvex integrands. [Internet] [Doctoral dissertation]. Georgia Tech; 2015. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/53901.

Council of Science Editors:

Awi RO. Minimization problems involving polyconvex integrands. [Doctoral Dissertation]. Georgia Tech; 2015. Available from: http://hdl.handle.net/1853/53901

6. Ahmed, Aftab. Infinite dimensional nonlinear systems with state-dependent delays and state suprema: Analysis, observer design and applications.

Degree: PhD, Electrical and Computer Engineering, 2017, Georgia Tech

URL: http://hdl.handle.net/1853/58302

► The prime objective of this research is to investigate systems with state-dependent delays in a unified, well rounded, global and coherent framework from first principles.…
(more)

Subjects/Keywords: Time delay systems; State-dependent delays; Stability; Observer design; Controller synthesis; State suprema; Nonlinear systems; Infinite dimensional; Functional differential equations; Spectrum

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APA (6^{th} Edition):

Ahmed, A. (2017). Infinite dimensional nonlinear systems with state-dependent delays and state suprema: Analysis, observer design and applications. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/58302

Chicago Manual of Style (16^{th} Edition):

Ahmed, Aftab. “Infinite dimensional nonlinear systems with state-dependent delays and state suprema: Analysis, observer design and applications.” 2017. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/58302.

MLA Handbook (7^{th} Edition):

Ahmed, Aftab. “Infinite dimensional nonlinear systems with state-dependent delays and state suprema: Analysis, observer design and applications.” 2017. Web. 20 Oct 2019.

Vancouver:

Ahmed A. Infinite dimensional nonlinear systems with state-dependent delays and state suprema: Analysis, observer design and applications. [Internet] [Doctoral dissertation]. Georgia Tech; 2017. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/58302.

Council of Science Editors:

Ahmed A. Infinite dimensional nonlinear systems with state-dependent delays and state suprema: Analysis, observer design and applications. [Doctoral Dissertation]. Georgia Tech; 2017. Available from: http://hdl.handle.net/1853/58302

7. Difonzo, Fabio Vito. The Filippov moments solution on the intersection of two and three manifolds.

Degree: PhD, Mathematics, 2015, Georgia Tech

URL: http://hdl.handle.net/1853/54388

► In this thesis, we study the Filippov moments solution for differential equations with discontinuous right-hand side. In particular, our aim is to define a suitable…
(more)

Subjects/Keywords: Filippov systems; Moments solution; Co-dimension 2; Co-dimension 3; Minimum variation solutions; Nonsmooth differential systems; Discontinuous differential equations; Regularization

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APA (6^{th} Edition):

Difonzo, F. V. (2015). The Filippov moments solution on the intersection of two and three manifolds. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/54388

Chicago Manual of Style (16^{th} Edition):

Difonzo, Fabio Vito. “The Filippov moments solution on the intersection of two and three manifolds.” 2015. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/54388.

MLA Handbook (7^{th} Edition):

Difonzo, Fabio Vito. “The Filippov moments solution on the intersection of two and three manifolds.” 2015. Web. 20 Oct 2019.

Vancouver:

Difonzo FV. The Filippov moments solution on the intersection of two and three manifolds. [Internet] [Doctoral dissertation]. Georgia Tech; 2015. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/54388.

Council of Science Editors:

Difonzo FV. The Filippov moments solution on the intersection of two and three manifolds. [Doctoral Dissertation]. Georgia Tech; 2015. Available from: http://hdl.handle.net/1853/54388

8. Mitchell, Radford. Transition to turbulence and mixing in a quasi-two-dimensional Lorentz force-driven Kolmogorov flow.

Degree: PhD, Physics, 2013, Georgia Tech

URL: http://hdl.handle.net/1853/49045

► The research in this thesis was motivated by a desire to understand the mixing properties of quasi-two-dimensional flows whose time-dependence arises naturally as a result…
(more)

Subjects/Keywords: Fluids; Mixing; Dynamical systems; Fluid dynamics; Turbulence; Laminar flow

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APA (6^{th} Edition):

Mitchell, R. (2013). Transition to turbulence and mixing in a quasi-two-dimensional Lorentz force-driven Kolmogorov flow. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/49045

Chicago Manual of Style (16^{th} Edition):

Mitchell, Radford. “Transition to turbulence and mixing in a quasi-two-dimensional Lorentz force-driven Kolmogorov flow.” 2013. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/49045.

MLA Handbook (7^{th} Edition):

Mitchell, Radford. “Transition to turbulence and mixing in a quasi-two-dimensional Lorentz force-driven Kolmogorov flow.” 2013. Web. 20 Oct 2019.

Vancouver:

Mitchell R. Transition to turbulence and mixing in a quasi-two-dimensional Lorentz force-driven Kolmogorov flow. [Internet] [Doctoral dissertation]. Georgia Tech; 2013. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/49045.

Council of Science Editors:

Mitchell R. Transition to turbulence and mixing in a quasi-two-dimensional Lorentz force-driven Kolmogorov flow. [Doctoral Dissertation]. Georgia Tech; 2013. Available from: http://hdl.handle.net/1853/49045

9. Walter, Miguel. A stochastic expansion-based approach for design under uncertainty.

Degree: PhD, Aerospace Engineering, 2013, Georgia Tech

URL: http://hdl.handle.net/1853/47562

► An approach for robust design based on stochastic expansions is investigated. The research consists of two parts : 1) stochastic expansions for uncertainty propagation and…
(more)

Subjects/Keywords: Robust design; Uncertainty; Decision making; Reliability (Engineering); System safety

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APA (6^{th} Edition):

Walter, M. (2013). A stochastic expansion-based approach for design under uncertainty. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/47562

Chicago Manual of Style (16^{th} Edition):

Walter, Miguel. “A stochastic expansion-based approach for design under uncertainty.” 2013. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/47562.

MLA Handbook (7^{th} Edition):

Walter, Miguel. “A stochastic expansion-based approach for design under uncertainty.” 2013. Web. 20 Oct 2019.

Vancouver:

Walter M. A stochastic expansion-based approach for design under uncertainty. [Internet] [Doctoral dissertation]. Georgia Tech; 2013. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/47562.

Council of Science Editors:

Walter M. A stochastic expansion-based approach for design under uncertainty. [Doctoral Dissertation]. Georgia Tech; 2013. Available from: http://hdl.handle.net/1853/47562

10. Tossounian, Hagop B. Mathematical problems concerning the Kac model.

Degree: PhD, Mathematics, 2017, Georgia Tech

URL: http://hdl.handle.net/1853/58657

► This thesis deals with the Kac model in kinetic theory. Kac’s model is a linear, space homogeneous, n-particle model created by Mark Kac in 1956…
(more)

Subjects/Keywords: Kinetic theory; Kac model; Partially thermostated Kac model; Non-equilibrium statistical mechanics; Equilibration; GTW metric

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APA (6^{th} Edition):

Tossounian, H. B. (2017). Mathematical problems concerning the Kac model. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/58657

Chicago Manual of Style (16^{th} Edition):

Tossounian, Hagop B. “Mathematical problems concerning the Kac model.” 2017. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/58657.

MLA Handbook (7^{th} Edition):

Tossounian, Hagop B. “Mathematical problems concerning the Kac model.” 2017. Web. 20 Oct 2019.

Vancouver:

Tossounian HB. Mathematical problems concerning the Kac model. [Internet] [Doctoral dissertation]. Georgia Tech; 2017. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/58657.

Council of Science Editors:

Tossounian HB. Mathematical problems concerning the Kac model. [Doctoral Dissertation]. Georgia Tech; 2017. Available from: http://hdl.handle.net/1853/58657

11. Zhang, Lei. Analysis and numerical methods in solid state physics and chemistry.

Degree: PhD, Mathematics, 2017, Georgia Tech

URL: http://hdl.handle.net/1853/58675

► In the first part of the paper, we consider an atomic model of deposition over a quasi-periodic medium, that is, a quasi-periodic version of the…
(more)

Subjects/Keywords: Mathematical physics; Dynamical system; Frennkel-Kontorova model; Normally hyperbolic invariant manifolds; Parameterization method

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APA (6^{th} Edition):

Zhang, L. (2017). Analysis and numerical methods in solid state physics and chemistry. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/58675

Chicago Manual of Style (16^{th} Edition):

Zhang, Lei. “Analysis and numerical methods in solid state physics and chemistry.” 2017. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/58675.

MLA Handbook (7^{th} Edition):

Zhang, Lei. “Analysis and numerical methods in solid state physics and chemistry.” 2017. Web. 20 Oct 2019.

Vancouver:

Zhang L. Analysis and numerical methods in solid state physics and chemistry. [Internet] [Doctoral dissertation]. Georgia Tech; 2017. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/58675.

Council of Science Editors:

Zhang L. Analysis and numerical methods in solid state physics and chemistry. [Doctoral Dissertation]. Georgia Tech; 2017. Available from: http://hdl.handle.net/1853/58675

Georgia Tech

12. Mou, Chenchen. Uniqueness, existence and regularity of solutions of integro-PDE in domains of R^n.

Degree: PhD, Mathematics, 2016, Georgia Tech

URL: http://hdl.handle.net/1853/58562

► The main goal of the thesis is to study integro-differential equations. Integro-differential equations arise naturally in the study of stochastic processes with jumps. These types…
(more)

Subjects/Keywords: Uniqueness; Existence; Regularity; Viscosity solution Integro-PDE; Integro-PDE; Hamilton-Jacobi-Bellman-Isaacs equation

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APA (6^{th} Edition):

Mou, C. (2016). Uniqueness, existence and regularity of solutions of integro-PDE in domains of R^n. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/58562

Chicago Manual of Style (16^{th} Edition):

Mou, Chenchen. “Uniqueness, existence and regularity of solutions of integro-PDE in domains of R^n.” 2016. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/58562.

MLA Handbook (7^{th} Edition):

Mou, Chenchen. “Uniqueness, existence and regularity of solutions of integro-PDE in domains of R^n.” 2016. Web. 20 Oct 2019.

Vancouver:

Mou C. Uniqueness, existence and regularity of solutions of integro-PDE in domains of R^n. [Internet] [Doctoral dissertation]. Georgia Tech; 2016. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/58562.

Council of Science Editors:

Mou C. Uniqueness, existence and regularity of solutions of integro-PDE in domains of R^n. [Doctoral Dissertation]. Georgia Tech; 2016. Available from: http://hdl.handle.net/1853/58562

Georgia Tech

13. Hurth, Tobias. Invariant densities for dynamical systems with random switching.

Degree: PhD, Mathematics, 2014, Georgia Tech

URL: http://hdl.handle.net/1853/52274

► We studied invariant measures and invariant densities for dynamical systems with random switching (switching systems, in short). These switching systems can be described by a…
(more)

Subjects/Keywords: Randomly switched ODEs; Piecewise deterministic Markov processes; Invariant densities; Hypoellipticity

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APA (6^{th} Edition):

Hurth, T. (2014). Invariant densities for dynamical systems with random switching. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/52274

Chicago Manual of Style (16^{th} Edition):

Hurth, Tobias. “Invariant densities for dynamical systems with random switching.” 2014. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/52274.

MLA Handbook (7^{th} Edition):

Hurth, Tobias. “Invariant densities for dynamical systems with random switching.” 2014. Web. 20 Oct 2019.

Vancouver:

Hurth T. Invariant densities for dynamical systems with random switching. [Internet] [Doctoral dissertation]. Georgia Tech; 2014. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/52274.

Council of Science Editors:

Hurth T. Invariant densities for dynamical systems with random switching. [Doctoral Dissertation]. Georgia Tech; 2014. Available from: http://hdl.handle.net/1853/52274

Georgia Tech

14. Dykes, John William. TEMPUS: A methodology for model-based robust-optimal design of time-dynamic system identification experiments using variational asymptotic expansions.

Degree: PhD, Aerospace Engineering, 2016, Georgia Tech

URL: http://hdl.handle.net/1853/59120

► The development of appropriate flight tests has proven to be a critical element in the development process of many revolutionary next-generation aerospace vehicles. For example,…
(more)

Subjects/Keywords: Variational asymptotic expansions; System identification; Information experiments; Robust-optimal dynamic experiment design; Model-based; Hypersonic flight testing; SCRAMjet; Generic hypersonic vehicle model

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APA (6^{th} Edition):

Dykes, J. W. (2016). TEMPUS: A methodology for model-based robust-optimal design of time-dynamic system identification experiments using variational asymptotic expansions. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/59120

Chicago Manual of Style (16^{th} Edition):

Dykes, John William. “TEMPUS: A methodology for model-based robust-optimal design of time-dynamic system identification experiments using variational asymptotic expansions.” 2016. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/59120.

MLA Handbook (7^{th} Edition):

Dykes, John William. “TEMPUS: A methodology for model-based robust-optimal design of time-dynamic system identification experiments using variational asymptotic expansions.” 2016. Web. 20 Oct 2019.

Vancouver:

Dykes JW. TEMPUS: A methodology for model-based robust-optimal design of time-dynamic system identification experiments using variational asymptotic expansions. [Internet] [Doctoral dissertation]. Georgia Tech; 2016. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/59120.

Council of Science Editors:

Dykes JW. TEMPUS: A methodology for model-based robust-optimal design of time-dynamic system identification experiments using variational asymptotic expansions. [Doctoral Dissertation]. Georgia Tech; 2016. Available from: http://hdl.handle.net/1853/59120

Georgia Tech

15. Shirani, Farshad. Mathematical analysis of a mean field model of electroencephalographic activity in the neocortex.

Degree: PhD, Aerospace Engineering, 2018, Georgia Tech

URL: http://hdl.handle.net/1853/59884

► Electroencephalographic recordings from the scalp provide essential measures of mesoscopic electrical activity in the neocortex. The rhythmic patterns of variations observed in the electroencephalogram result…
(more)

Subjects/Keywords: Mathematical neuroscience; Neocortical dynamics; Mean field model; Evolution equations; Global attractors

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APA (6^{th} Edition):

Shirani, F. (2018). Mathematical analysis of a mean field model of electroencephalographic activity in the neocortex. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/59884

Chicago Manual of Style (16^{th} Edition):

Shirani, Farshad. “Mathematical analysis of a mean field model of electroencephalographic activity in the neocortex.” 2018. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/59884.

MLA Handbook (7^{th} Edition):

Shirani, Farshad. “Mathematical analysis of a mean field model of electroencephalographic activity in the neocortex.” 2018. Web. 20 Oct 2019.

Vancouver:

Shirani F. Mathematical analysis of a mean field model of electroencephalographic activity in the neocortex. [Internet] [Doctoral dissertation]. Georgia Tech; 2018. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/59884.

Council of Science Editors:

Shirani F. Mathematical analysis of a mean field model of electroencephalographic activity in the neocortex. [Doctoral Dissertation]. Georgia Tech; 2018. Available from: http://hdl.handle.net/1853/59884

Georgia Tech

16. Berman, Simon Abraham. Classical Mechanisms of Recollision and High Harmonic Generation.

Degree: PhD, Physics, 2019, Georgia Tech

URL: http://hdl.handle.net/1853/61214

► Thirty years after the demonstration of the production of high laser harmonics through nonlinear laser-gas interaction, high harmonic generation (HHG) is being used to probe…
(more)

Subjects/Keywords: Attosecond physics; Hamiltonian systems; Nonlinear dynamics

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APA (6^{th} Edition):

Berman, S. A. (2019). Classical Mechanisms of Recollision and High Harmonic Generation. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/61214

Chicago Manual of Style (16^{th} Edition):

Berman, Simon Abraham. “Classical Mechanisms of Recollision and High Harmonic Generation.” 2019. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/61214.

MLA Handbook (7^{th} Edition):

Berman, Simon Abraham. “Classical Mechanisms of Recollision and High Harmonic Generation.” 2019. Web. 20 Oct 2019.

Vancouver:

Berman SA. Classical Mechanisms of Recollision and High Harmonic Generation. [Internet] [Doctoral dissertation]. Georgia Tech; 2019. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/61214.

Council of Science Editors:

Berman SA. Classical Mechanisms of Recollision and High Harmonic Generation. [Doctoral Dissertation]. Georgia Tech; 2019. Available from: http://hdl.handle.net/1853/61214

Georgia Tech

17. Shu, Longmei. Topics in Dynamical Systems.

Degree: PhD, Mathematics, 2019, Georgia Tech

URL: http://hdl.handle.net/1853/61746

► The thesis consists of two parts. the first one is dealing with isosspectral transformations and the second one with the phenomenon of local immunodeficiency. Isospectral…
(more)

Subjects/Keywords: Isospectral transformations; Generalized eigenvectors; Spectral equivalence; Attractors; Cross-immunoreactivity network; Local immunodeficiency; Minimal stable network

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APA (6^{th} Edition):

Shu, L. (2019). Topics in Dynamical Systems. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/61746

Chicago Manual of Style (16^{th} Edition):

Shu, Longmei. “Topics in Dynamical Systems.” 2019. Doctoral Dissertation, Georgia Tech. Accessed October 20, 2019. http://hdl.handle.net/1853/61746.

MLA Handbook (7^{th} Edition):

Shu, Longmei. “Topics in Dynamical Systems.” 2019. Web. 20 Oct 2019.

Vancouver:

Shu L. Topics in Dynamical Systems. [Internet] [Doctoral dissertation]. Georgia Tech; 2019. [cited 2019 Oct 20]. Available from: http://hdl.handle.net/1853/61746.

Council of Science Editors:

Shu L. Topics in Dynamical Systems. [Doctoral Dissertation]. Georgia Tech; 2019. Available from: http://hdl.handle.net/1853/61746