Research Interests:
Dynamical Systems and Ergodic Theory
Publications:
N Agarwal, H Cheriyath and S N Tikekar, On the Perron root and eigenvectors of a non-negative integer matrix, Linear Algebra and its Applications, 698, 135-180 (2024)
S Tripathi and N Agarwal, Stability of bimodal planar linear switched systems, European Journal of Control, 70, 100767 (2023)
S Tripathi and N Agarwal, Stability of bimodal planar switched linear systems with both stable and unstable subsystems, International Journal of Systems Science, 53(15), 3254-3285 (2022)
H Cheriyath and N Agarwal, Subshifts of finite type with a hole, Journal of Australian Mathematical Society, 115(1), 73-98 (2022)
H Cheriyath and N Agarwal, On the Perron root and eigenvectors associated with a subshift of finite type, Linear Algebra and Its Applications, 633, 42-70 (2022)
N Agarwal, S Dey, N K Dhanwani and K Rajeevsarathy, Liftable mapping classes of regular cyclic covers, Houston Journal of Mathematics, 47(1), 223-243 (2021)
N Agarwal, The k-transformation on an interval with hole, Qualitative Theory of Dynamical Systems, 19(30) (2020)
H Cheriyath and N Agarwal, Product of expansive Markov maps with hole, Discrete and Continuous Dynamical Systems - Series A, 39(10), 5743-5774 (2019)
N Agarwal, Stabilizing Graph-dependent linear switched systems with unstable subsystems, European Journal of Control, 53, 20-28 (2019)
N Agarwal, A simple loop dwell time approach for stability of switched systems, SIAM Journal on Applied Dynamical Systems, 17(2), 1377-1394 (2018)
N Agarwal, 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, 1-24 (2017)
N Agarwal, A Rodrigues and M J Field, Dynamics near the product of planar heteroclinic attractors, Dynamical Systems, 26(4), 447-481 (2011)
N Agarwal, Inflation of strongly connected networks, Mathematical Proceedings of the Cambridge Philosophical Society, 150, 367-384 (2011)
N Agarwal and M J Field, Dynamical equivalence of network architecture for coupled dynamical systems II: general case, Nonlinearity, 23, 1269-1290 (2010)
N Agarwal and M J Field, Dynamical equivalence of network architecture for coupled dynamical systems I: asymmetric inputs, Nonlinearity, 23 1245-1268 (2010)
Publications under review:
S Tripathi and N Agarwal, Stability of reset and impulsive linear switched systems
N Agarwal, H Cheriyath and S N Tikekar, Escape rates in subshifts of finite type with a Markov measure
Other Publications:
(with Kaneenika Sinha) For the joy of doing mathematics -- Interview with Rajinder Jeet Hans-Gill, Bhāvanā - The mathematics magazine (July 2024)
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:
Ongoing
'Dynamical Properties of Countable Markov Shifts' funded by ANRF (DST) - 2024-27
Completed
‘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