Publications

Talks delivered
1. “Variational Calculus: A theoretical minimum”, IIT Hyderabad, May 2024
2. “Free Boundary Problems”, IIT Bombay, May 2026

Published

31. K. R. Jayaprakash, ‘Free vibrations of hanging strings in contact with contact point motion’, Journal of Vibrations and Acoustics, in press
30. V. Tandel, K. R. Jayaprakash, ‘Wave scattering at a breathing crack in an elastic bar: An analytical and computational study’, (under review)
29. K. R. Jayaprakash, ‘An analytical study of piecewise linear oscillator with Coulomb friction’, Journal of Computational and Nonlinear Dynamics, vol. 21(3), no. 031001 (2026)
28. Rik Chakraborty, A. Maiti, D. Paul, R. Borthakur, K. R. Jayaprakash, U. Ghosh and K. K. Dey, ‘Propagation of Enzyme-driven Active Fluctuations in Crowded Milieu’, Small, vol. 21, no. e02935 (2025)
27. A. Balaji, D. Paul, K. R. Jayaprakash and C. P. Vyasarayani, ‘A coefficient of restitution based approach to model spatial vibro-impact dynamics in continuous systems’, Meccanica, vol. 60, pp. 1323-1365 (2025)
26. V. Tandel and K. R. Jayaprakash, ‘Piecewise linear vibrations of a cracked beam’, Journal of Vibration and Acoustics, vol. 147(3), no. 031003 (2025)
25. Adireddi Balaji, Thani Ashwanth, K. R. Jayaprakash, C. P. Vysarayani, ‘Time Delayed Piecewise Linear Mathieu Equation: An Analytical and Numerical Study’, Nonlinear Dynamics, vol. 112, pp. 9245-9260 (2024)
24. D. Paul and K. R. Jayaprakash, ‘Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis’, Wave Motion, vol. 128, no. 103289 (2024)
23. Bidhayak Goswami, K. R. Jayaprakash and Anindya Chatterjee, ‘Short time angular impulse response of Rayleigh beams’, Journal of Engineering Mathematics, vol. 143, no. 6 (2023)
22. K. R. Jayaprakash and V. Tandel, ‘Dynamics of excited piecewise linear oscillators’, Nonlinear Dynamics, vol. 111, pp. 5513–5532 (2023)
21. A. Kumar, Y. Starosvetsky and K. R. Jayaprakash, ‘Analysis of transition regions of bi-linear, parametrically driven, two-oscillator model: Resonant excitation in the neighborhood of non-similar NNMs’, International Journal of Non-Linear Mechanics, vol. 145, no. 104074 (2022)
20. Nividha, A. K. Shukla, A. Maiti, B. Bharat, K. R. Jayaprakash, S. Khatua, P. Thareja, K. K. Dey, ‘Rapid estimation of ethanol concentration using acousto-optic diffraction’, Chemistry Select, vol. 8 (32), (2023)
19. K. R. Jayaprakash* and Y. Starosvetsky, ‘Analytical study of the transition curves in the bi-linear Mathieu equation’, Nonlinear Dynamics, vol. 101, no. 4, pp. 2615–2627 (2020)
18. K. R. Jayaprakash, Y. Starosvetsky, ‘Three-dimensional Energy Channeling in the Unit-cell Model Coupled to a Spherical Rotator II: Analytical Study of the Uni-directional Channeling’, Nonlinear Dynamics, 89(4), pp. 2311-2327 (2017)
17. K. R. Jayaprakash, Y. Starosvetsky, ‘Three-dimensional Energy Channeling in the Unit-cell Model Coupled to a Spherical Rotator I: Analytical Study of the Bi-directional Channeling’, Nonlinear Dynamics, 89(3), pp. 2013-2040 (2017)
16. Y. Starosvetsky, K. R. Jayaprakash, A. F. Vakakis ‘Traveling and Solitary Waves in Monodisperse and Dimer Granular Chains’, International Journal of Modern Physics B, 31(10), 1742001, pp. 1-18 (2017)
15. Z. Ahsan, K. R. Jayaprakash, ‘Solitary Waves in Dimer Binary Collision Model’, Journal of Applied Physics, 121(4), 034902, pp. 1-10 (2017)
14. Z. Ahsan, K. R. Jayaprakash, ‘Evolution of Primary Pulse in Granular Dimers Mounted on Linear Elastic Foundation: An Analytical and Numerical Study’, Physical Review E, 94(4), 043001, pp. 1-15 (2016)
13. V. Kislovsky, M. Kovaleva, K. R. Jayaprakash, Y. Starosvetsky, ‘Consecutive Transitions from Localized to Delocalized Transport States in the Anharmonic Chain of Three Coupled Oscillators’, Chaos, 26(7), pp. 073102(1- 12) (2016)
12. A. Shiffer, K. R. Jayaprakash, Y. Starosvetsky, ‘Traveling Waves in Trimer Granular Lattice II: Asymptotic Prediction of Weakly Attenuated Pulses’, Communications in Nonlinear Science and Numerical Simulations, 43, pp. 62-77 (2017)
11. K. R. Jayaprakash, A. Shiffer, Y. Starosvetsky, ‘Traveling Waves in Trimer Granular Lattice I: Bifurcation Structure of Traveling Waves in the Unit-Cell Model’, Communications in Nonlinear Science and Numerical Simulations, 38, pp. 8-22 (2016)
10. K. R. Jayaprakash, Y. Starosvetsky, A. F. Vakakis, ‘Nonlinear Resonances in a General Class of Granular Dimers with no Pre-compression’, Granular Matter, 15(3), pp. 327-347 (2013)
9. J. Lydon, K. R. Jayaprakash, Y. Starosvetsky, D. Ngo, A. F. Vakakis, C. Daraio, ‘Frequency Bands of Strongly Nonlinear Finite Homogeneous Granular Crystals’, Physical Review E, 88(1), 012206, pp. 1-9 (2013)
8. K. R. Jayaprakash, Y. Starosvetsky, A. F. Vakakis, O. V. Gendelman, ‘Nonlinear Resonances Leading to Strong Pulse Attenuation in Granular Dimer Chains,’ Journal of Nonlinear Science, 23(3), pp. 363-392, (2013)
7. R. Potekin, K. R. Jayaprakash, D. M. McFarland, K. Remick, L. A. Bergman, A. F. Vakakis, ‘Experimental Study of Strongly Nonlinear Resonances and Anti-Resonances in Granular Dimer Chains’, Experimental Mechanics, 53(5), pp. 861-870, (2013)
6. K. R. Jayaprakash, A. F. Vakakis, Y. Starosvetsky, ‘Solitary Waves in a General Class of Granular Dimer Chains’, Journal of Applied Physics, 112(3), 034908, pp. 1-17 (2012)
5. K. R. Jayaprakash, A. F. Vakakis, Y. Starosvetsky, ‘Strongly Nonlinear Traveling Waves in Granular Dimer Chains’, Mechanical Systems and Signal Processing, 39(1-2), pp. 91-107, (2013)
4. Y. Starosvetsky, K. R. Jayaprakash, A. F. Vakakis, L. I. Manevitch, ‘Effective Particles and Classification of Periodic Orbits of Homogeneous Granular Chains with No Pre compression’, Physical Review E, 85(3), 036606, pp. 1-15 (2012)
3. Y. Starosvetsky, K. R. Jayaprakash, A. F. Vakakis, ‘Scattering of Solitary Waves and Excitation of Transient Breathers in Granular Media by Light Intruders and No Pre-compression’, Journal of Applied Mechanics, 79, 011001, pp. 1-11 (2012)
2. K. R. Jayaprakash, Y. Starosvetsky, A. F. Vakakis, ‘New Family of Solitary Waves in Granular Dimer Chains with No Precompression’, Physical Review E, 83(3), 036606, pp. 1-11 (2011)
1. K. R. Jayaprakash, Y. Starosvetsky, A. F. Vakakis, M. Peeters and G. Kerschen, ‘Nonlinear Normal Modes and Band Zones in Granular Chains with No Pre-compression’, Nonlinear Dynamics, 63(3), pp. 359-385 (2011)