Research Interests:
Dynamical Systems and Ergodic Theory
Publications:
with Swapnil Tripathi, Stability of Bimodal Planar Linear Switched Systems, European Journal of Control, Available online 22 December 2022
with Swapnil Tripathi, Stability of Bimodal Planar Switched Linear Systems with Both Stable and Unstable Subsystems, International Journal of Systems Science, 53(15), 3254-3285 (2022)
with Haritha C, Subshifts of finite type with a Hole (2022) (accepted for publication in Journal of Australian Mathematical Society) First view available
with Haritha C, On the Perron root and eigenvectors associated with a subshift of finite type, Linear Algebra and Its Applications, 633, 42-70 (2022)
with S. Dey, N. K. Dhanwani and K. Rajeevsarathy, Liftable mapping classes of regular cyclic covers (2021) (accepted for publication in The Houston Journal of Mathematics)
The k-transformation on an interval with hole, Qualitative Theory of Dynamical Systems,19(30) (2020)
Stabilizing Graph-dependent Linear Switched Systems with Unstable Subsystems, European Journal of Control, 53, 20-28, 2019.
with Haritha C, Product of Expansive Markov Maps with Hole, Discrete and Continuous Dynamical Systems - Series A, Vol. 39, No. 10 (2019), 5743-5774
A Simple Loop Dwell Time Approach for Stability of Switched Systems, SIAM Journal on Applied Dynamical Systems, Vol. 17, No. 2 (2018), 1377-1394
with C Conca, I Mishra, Approximate controllability of a semilinear elliptic problem with Robin condition in a periodically perforated domain, Electronic Journal of Differential Equations, 186 (2017), 1–24
with A Rodrigues and M J Field, Dynamics near the Product of Planar Heteroclinic Attractors, Dynamical Systems, 26, Issue 4 (2011), 447-481
Inflation of strongly connected networks, Mathematical Proceedings of the Cambridge Philosophical Society, 150 (2011), 367-384
with M J Field, Dynamical equivalence of network architecture for coupled dynamical systems II: general case, Nonlinearity, 23 (2010), 1269-1290
with M J Field, Dynamical equivalence of network architecture for coupled dynamical systems I: asymmetric inputs, Nonlinearity, 23 (2010), 1245-1268
Publications under review:
with Haritha C and S Tikekar, A combinatorial approach to study subshifts associated with multigraphs
Other Publications:
Movie documentary review in Bhāvanā - The mathematics magazine (October 2021): Secrets of the Surface: The Mathematical Vision of Maryam Mirzakhani
Book review in Current Science (July 2021): Elements of Dynamical Systems: Texts and Readings in Mathematics, Vol. 79. Anima Nagar, Riddhi Shah and Shrihari Sridharan (eds). Hindustan Book Agency, New Delhi, 2020
with Amber Habib and Geetha Venkataraman, Indian Women and Mathematics, Association for Women in Mathematics: The First Fifty Years, an AWM-Springer book, Edited by Janet Beery, Sarah Greenwald, and Cathy Kessel (forthcoming)
with Carolina Araujo, Petra Bonfert-Taylor, Mojgan Mahmoudi, Marie Françoise Ouedraogo, Olga Paris-Romaskevich, Marie-Françoise Roy, Elisabetta Strickland, and Andrea Vera Gajardo, May 12: Celebrating Women in Mathematics From One Idea to One Hundred Events, Notices of the AMS (December 2019)
with R Shah and G Venkataraman, Maryam Mirzakhani: The Master Artist of Curved Surfaces, Resonance – Journal of Science Education, Volume 23, Issue 3 (2018), 253-262.
Research Projects:
‘Ergodic Properties of Open Dynamical Systems’ funded by SERB (DST) - 2020-23
‘Center for Research on Environment and Sustainable Technologies’ (CREST) - FAST programme funded by MHRD, Co-PI
‘Study of Switched Dynamical Systems using Spectral Properties of Network Topology’ funded by SERB (DST) - 2015-18