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