Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems P Kumar, S Narayanan Sadhana 31, 445-461, 2006 | 163 | 2006 |
Numerical solutions of Fokker–Planck equation of nonlinear systems subjected to random and harmonic excitations S Narayanan, P Kumar Probabilistic Engineering Mechanics 27 (1), 35-46, 2012 | 70 | 2012 |
Fokker–Planck equation analysis of randomly excited nonlinear energy harvester P Kumar, S Narayanan, S Adhikari, MI Friswell Journal of Sound and Vibration 333 (7), 2040-2053, 2014 | 65 | 2014 |
Stochastic bifurcations in a vibro-impact Duffing–Van der Pol oscillator P Kumar, S Narayanan, S Gupta Nonlinear Dynamics 85, 439-452, 2016 | 55 | 2016 |
Bifurcation analysis of a stochastically excited vibro-impact Duffing-Van der Pol oscillator with bilateral rigid barriers P Kumar, S Narayanan, S Gupta International Journal of Mechanical Sciences 127, 103-117, 2017 | 52 | 2017 |
Investigations on the bifurcation of a noisy Duffing–van der Pol oscillator P Kumar, S Narayanan, S Gupta Probabilistic Engineering Mechanics 45, 70-86, 2016 | 43 | 2016 |
Finite element solution of Fokker–Planck equation of nonlinear oscillators subjected to colored non-Gaussian noise P Kumar, S Narayanan, S Gupta Probabilistic Engineering Mechanics 38, 143-155, 2014 | 35 | 2014 |
Modified path integral solution of Fokker–Planck equation: Response and bifurcation of nonlinear systems P Kumar, S Narayanan | 27 | 2010 |
Nonlinear stochastic dynamics, chaos, and reliability analysis for a single degree of freedom model of a rotor blade P Kumar, S Narayanan | 20 | 2009 |
Chaos and bifurcation analysis of stochastically excited discontinuous nonlinear oscillators P Kumar, S Narayanan Nonlinear Dynamics 102, 927-950, 2020 | 18 | 2020 |
Stochastic bifurcation analysis of a duffing oscillator with coulomb friction excited by poisson white noise P Kumar, S Narayanan, S Gupta Procedia Engineering 144, 998-1006, 2016 | 15 | 2016 |
Response statistics and reliability analysis of a mistuned and frictionally damped bladed disk assembly subjected to white noise excitation P Kumar, S Narayanan Turbo Expo: Power for Land, Sea, and Air 44014, 649-658, 2010 | 11 | 2010 |
Targeted energy transfer in stochastically excited system with nonlinear energy sink P Kumar, S Narayanan, S Gupta European Journal of Applied Mathematics 30 (5), 869-886, 2019 | 10 | 2019 |
Dynamics of stochastic vibro-impact oscillator with compliant contact force models P Kumar, S Narayanan, S Gupta International Journal of Non-Linear Mechanics 144, 104086, 2022 | 6 | 2022 |
Nonlinear dynamics of dry friction oscillator subjected to combined harmonic and random excitations P Kumar, S Narayanan Nonlinear Dynamics 109 (2), 755-778, 2022 | 6 | 2022 |
Numerical solution of multidimensional Fokker-Planck equation for nonlinear stochastic dynamical systems P Kumar, S Narayanan Advances in Vibration Engineering 8 (2), 153-163, 2009 | 6 | 2009 |
Dynamics of nonlinear oscillators with discontinuous nonlinearities subjected to harmonic and stochastic excitations S Narayanan, P Kumar Journal of The Institution of Engineers (India): Series C 102, 1321-1363, 2021 | 4 | 2021 |
Efficient path integral solution of Fokker–Planck equation: response, bifurcation and periodicity of nonlinear systems P Kumar, S Narayanan International Journal of Advances in Engineering Sciences and Applied …, 2011 | 3 | 2011 |
Probabilistic response analysis of nonlinear tristable energy harvester under gaussian colored noise P Kumar, S Narayanan Journal of Vibration Engineering & Technologies 11 (6), 2865-2879, 2023 | 2 | 2023 |
Dynamics of Discontinuous Nonlinear Oscillators with Compliant Contacts subjected to Combined Harmonic and Random Loadings SG Pankaj Kumar, S.Narayanan NODYCON 2021, 2021 | 2* | 2021 |