''But, said Alice, if the world has absolutely no sense, who's stopping us from inventing one?''

Lewis Carroll, Alice in Wonderland.

Welcome to my website. I am a Postdoc in the School of Mathematics at Georgia Tech, under the mentorship of Professor Rachel Kuske.

I received my PhD degree in Probability Theory and Mathematical Statistic from Huazhong University Science and Technology in 2017 under the direction of Professor Jinqiao Duan and Professor Juergen Kurths. The theme of my dissertation was “Geometric approaches for metastability in stochastic dynamical systems with applications”, (pdf).

My primary Research Interests lie in non-smooth dynamical systems, stochastic differential equations, stochastic dynamics, stochastic stability, metastable phenomenon, dynamical systems driven by non-Gaussian Lévy motion. My Research Statement



Publications and Preprints

7. D. Tesfay, L. Serdukova, Y. Zheng, P. Wei, J. Duan, J. Kurths, Influence of extreme events modeled by Lévy flight on global thermohaline circulation stability, (in progress).

6. L. Serdukova, R. Kuske, D. Yurchenko, Stochastic response analysis for vibro-impacting energy generator under random excitation, (in progress).

5. L. Serdukova, R. Kuske, D. Yurchenko, Post-grazing dynamics of a vibro-impacting energy generator, submitted to Journal of Sound and Vibration, (arXiv).

4. L. Serdukova, R. Kuske, D. Yurchenko, Stability and bifurcation analysis of the period-T motion of a vibro-impacting energy harvester, Nonlinear Dynamics, October 2019, DOI: 10.1007/s11071-019-05289-8, (pdf).

3. L. Serdukova, Y. Zheng, J. Duan, J. Kurths, Metastability for discontinuous dynamical systems under Lévy noise: Case study on Amazonian Vegetation, Scientific Reports, 7:9336, August 2017, DOI: 10.1038/s41598-017-07686-8, (pdf).

2. Y. Zheng, L. Serdukova, J. Duan, J. Kurths, Transitions in a genetic transcriptional regulatory system under Lévy motion, Scientific Reports, 6:29274, July 2016, DOI: 10.1038/srep29274, (pdf).

1. L. Serdukova, Y. Zheng, J. Duan, J. Kurths, Stochastic basins of attraction for metastable states, Chaos 26 (7):073117, July 2016, DOI: 10.1063/1.4959146, (pdf).



Teaching

''If you can't explain it to a six year old, you don't understand it yourself.''

Albert Einstein.

==> 2017 - now, Georgia Tech, USA:

My Teaching Statement

MATH 2550
- Multivariable Calculus (Fall 2019),

MATH 1552
- Integral Calculus (Summer 2019, Challenge program; Spring 2019, Fall 2018),

MATH 3670
- Probability and Statistics (Spring 2018, Spring 2020),

MATH 1551
- Differential Calculus (Fall 2017).

==> 2015 - 2017, Wuhan University, China: Calculus I, Calculus II, Calculus III, Linear Algebra, Applied Statistics, Differential Equations.

==> 2003 - 2013, UNICV and UniPiaget, Cape Verde: Probability Theory, Inferential Statistics, Topology, Descriptive Statistics, Mathematical Analysis, Methods of Sampling.



Selected Talks

==> May 19-23, 2019. SIAM Conference on Applications of Dynamical Systems, Snowbird Ski and Summer Resort, Snowbird, Utah, USA. Title of presentation “Stability and bifurcation analysis of the period-T motion of a vibro-impacting energy generator”, (pdf).

==> May 21-25, 2017. SIAM Conference on Applications of Dynamical Systems, Snowbird Ski and Summer Resort, Snowbird, Utah, USA. Title of presentation “Metastable phenomena in a dynamical system with a discontinuous vector field: Case study on Amazonian Vegetation”, (pdf).

==> November 13-15, 2015. International Workshop on Stochastic Differential Equations and Numerical Methods, Shanghai Normal University, Shanghai, China. Title of presentation “Stochastic basins of attraction for metastable states”, (pdf).