- Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systemsP Kumar, S NarayananSadhana 31, 445-461 2006Citations: 161
- Numerical solutions of Fokker–Planck equation of nonlinear systems subjected to random and harmonic excitationsS Narayanan, P KumarProbabilistic Engineering Mechanics 27 (1), 35-46 2012Citations: 70
- Fokker–Planck equation analysis of randomly excited nonlinear energy harvesterP Kumar, S Narayanan, S Adhikari, MI FriswellJournal of Sound and Vibration 333 (7), 2040-2053 2014Citations: 64
- Stochastic bifurcations in a vibro-impact Duffing–Van der Pol oscillatorP Kumar, S Narayanan, S GuptaNonlinear Dynamics 85, 439-452 2016Citations: 55
- Bifurcation analysis of a stochastically excited vibro-impact Duffing-Van der Pol oscillator with bilateral rigid barriersP Kumar, S Narayanan, S GuptaInternational Journal of Mechanical Sciences 127, 103-117 2017Citations: 52
- Investigations on the bifurcation of a noisy Duffing–van der Pol oscillatorP Kumar, S Narayanan, S GuptaProbabilistic Engineering Mechanics 45, 70-86 2016Citations: 42
- Finite element solution of Fokker–Planck equation of nonlinear oscillators subjected to colored non-Gaussian noiseP Kumar, S Narayanan, S GuptaProbabilistic Engineering Mechanics 38, 143-155 2014Citations: 35
- Modified path integral solution of Fokker–Planck equation: Response and bifurcation of nonlinear systemsP Kumar, S Narayanan 2010Citations: 27
- Nonlinear stochastic dynamics, chaos, and reliability analysis for a single degree of freedom model of a rotor bladeP Kumar, S Narayanan 2009Citations: 20
- Chaos and bifurcation analysis of stochastically excited discontinuous nonlinear oscillatorsP Kumar, S NarayananNonlinear Dynamics 102, 927-950 2020Citations: 18
- Stochastic bifurcation analysis of a duffing oscillator with coulomb friction excited by poisson white noiseP Kumar, S Narayanan, S GuptaProcedia Engineering 144, 998-1006 2016Citations: 14
- Response statistics and reliability analysis of a mistuned and frictionally damped bladed disk assembly subjected to white noise excitationP Kumar, S NarayananTurbo Expo: Power for Land, Sea, and Air 44014, 649-658 2010Citations: 11
- Targeted energy transfer in stochastically excited system with nonlinear energy sinkP Kumar, S Narayanan, S GuptaEuropean Journal of Applied Mathematics 30 (5), 869-886 2019Citations: 10
- Dynamics of stochastic vibro-impact oscillator with compliant contact force modelsP Kumar, S Narayanan, S GuptaInternational Journal of Non-Linear Mechanics 144, 104086 2022Citations: 6
- Nonlinear dynamics of dry friction oscillator subjected to combined harmonic and random excitationsP Kumar, S NarayananNonlinear Dynamics 109 (2), 755-778 2022Citations: 6
- Numerical solution of multidimensional Fokker-Planck equation for nonlinear stochastic dynamical systemsP Kumar, S NarayananAdvances in Vibration Engineering 8 (2), 153-163 2009Citations: 6
- Dynamics of nonlinear oscillators with discontinuous nonlinearities subjected to harmonic and stochastic excitationsS Narayanan, P KumarJournal of The Institution of Engineers (India): Series C 102, 1321-1363 2021Citations: 4
- Efficient path integral solution of Fokker–Planck equation: response, bifurcation and periodicity of nonlinear systemsP Kumar, S NarayananInternational Journal of Advances in Engineering Sciences and Applied 2011Citations: 3
- Probabilistic response analysis of nonlinear tristable energy harvester under gaussian colored noiseP Kumar, S NarayananJournal of Vibration Engineering & Technologies 11 (6), 2865-2879 2023Citations: 2
- Dynamics of Discontinuous Nonlinear Oscillators with Compliant Contacts subjected to Combined Harmonic and Random LoadingsSG Pankaj Kumar, S.NarayananNODYCON 2021 2021Citations: 2