{"id":12494,"date":"2025-11-13T11:59:09","date_gmt":"2025-11-13T16:59:09","guid":{"rendered":"https:\/\/home.hamptonu.edu\/science\/?page_id=12494"},"modified":"2025-11-24T08:04:56","modified_gmt":"2025-11-24T13:04:56","slug":"shibabrat-naik","status":"publish","type":"page","link":"https:\/\/home.hamptonu.edu\/science\/shibabrat-naik\/","title":{"rendered":"Dr. Shibabrat Naik"},"content":{"rendered":"\t\t
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E-mail:\u00a0<\/b>
shibabrat.naik@hamptonu.edu<\/a><\/h6>

Location:
<\/b>Science and Technology Building 246B\u00a0<\/p>

Phone:
<\/b>757-637-3646<\/p>

\u00abMath Faculty List<\/a><\/div>
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Dr. Shibabrat Naik<\/b><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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  • Position: <\/strong>Assistant Professor

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  • Educational background:
    <\/strong><\/strong>B.E. in Civil Engineering from Jadavpur University (Kolkata, India)
    Ph.D. in Engineering Mechanics from Virginia Tech (Blacksburg, USA)
    Postdoctoral researcher in engineering at Drexel University and University of Pennsylvania, and in mathematics at University of Bristol (UK) and University of Warwick (UK).

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  • Research interests: <\/strong>Dr.\u00a0Naik\u00a0research interests are in theory and applications of dynamical systems, chaos, computational science and engineering including magnetic confinement of plasma, fusion energy, and theoretical chemistry. His interdisciplinary research articles on nonlinear dynamics and computational science have appeared in Physical Review E, Nonlinearity, Chaos, Communication in Nonlinear Science and Numerical Simulation, Royal Society\u2019s Physical Chemistry and Chemical Physics.

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  • Selected publications
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    • Pandey, S. Naik, and S. Keshavamurthy. Influence of low frequency modes on dynamical concertedness in double proton transfer dynamics. Communications in Nonlinear Science and Numerical Simulation, 109:106326, 2022. DOI: https:\/\/doi.org\/10.1016\/j.cnsns.2022.106326<\/li>
    • Kraj\u0148\u00e1k, S. Naik, and S. Wiggins. Predicting trajectory behaviour via machine-learned invariant manifolds. Chemical Physics Letters, page 139290, 2021. DOI: https:\/\/doi.org\/10.1016\/j.cplett.2021.139290<\/li>
    • Naik, V. Kraj\u0148\u00e1k, and S. Wiggins. Support vector machines for learning reactive islands. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(10):103101, October 2021. DOI: https:\/\/doi.org\/10.1063\/5.0062437<\/li>
    • Lyu, S. Naik, and S. Wiggins. Hamiltonian pitchfork bifurcation in transition across index-1 saddles. Communications in Nonlinear Science and Numerical Simulation, 103:105949, 2021. DOI: https:\/\/doi.org\/10.1016\/j.cnsns.2021.105949<\/li>
    • Pandey, S. Naik, and S. Keshavamurthy. Classical and Quantum Dynamical Manifestations of Index-2 Saddles: Concerted Versus Sequential Reaction Mechanisms. Regular and Chaotic Dynamics, 26(2):165\u2013182, March 2021. DOI: https:\/\/link.springer.com\/article\/10.1134\/S1560354721020052<\/li>
    • Lyu, S. Naik, and S. Wiggins. The Role of Depth and Flatness of a Potential Energy Surface in Chemical Reaction Dynamics. Regular and Chaotic Dynamics, 25(5):453\u2013475, September 2020. DOI: https:\/\/link.springer.com\/article\/10.1134\/S1560354720050044<\/li>
    • Naik and S. Wiggins. Detecting reactive islands in a system-bath model of isomerization. Physical Chemistry Chemical Physics, 22(32):17890\u201317912, 2020. DOI: https:\/\/pubs.rsc.org\/en\/content\/articlelanding\/2020\/cp\/d0cp01362e<\/li>
    • Lyu, S. Naik, and S. Wiggins. UPOsHam: A Python package for computing unstable periodic orbits in two-degree-of-freedom Hamiltonian systems. Journal of Open Source Software, 5(45):1684, January 2020. DOI: https:\/\/joss.theoj.org\/papers\/10.21105\/joss.01684<\/li>
    • J. Garc\u00eda-Garrido, S. Naik, and S. Wiggins. Tilting and Squeezing: Phase Space Geometry of Hamiltonian Saddle-Node Bifurcation and its Influence on Chemical Reaction Dynamics. International Journal of Bifurcation and Chaos, 30(04):2030008, March 2020 DOI: https:\/\/doi.org\/10.1142\/S0218127420300086<\/li>
    • Naik and S. Wiggins. Finding normally hyperbolic invariant manifolds in two and three degrees of freedom with H\u00e9non-Heiles-type potential. Physical Review E, 100(2):022204, August 2019. DOI: https:\/\/doi.org\/10.1103\/PhysRevE.100.022204<\/li>
    • Naik, V. J. Garc\u00eda-Garrido, and S. Wiggins. Finding NHIM: Identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors. Communications in Nonlinear Science and Numerical Simulation, 79:104907, December 2019. DOI<\/li>
    • D. Ross, A. E. BozorgMagham, S. Naik, and L. N. Virgin. Experimental validation of phase space conduits of transition between potential wells. Physical Review E, 98(5):052214, 2018. DOI: https:\/\/doi.org\/10.1016\/j.cnsns.2019.104907 \u00a0<\/li><\/ul><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

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