References
[1] Van Bragt DDB, Rizwan-uddin, van Der Hagen THJJ. Effect of void distribution parameter and axial power profile on BWR bifurcation characteristics. Nucl Sci Eng. 2000;134:227-35.
[2] Dokhane A, Hennig D, Rizwan-uddin, Chawla R. Bifurcation analysis of density wave oscillations using a drift flux model. In: Proceedings of the PHYSOR-2002 International Conference on the New Frontiers of Nuclear Technology: Reactor Physics, Safety and High-performance Computing; 2002 Oct 7-10; Seoul, Korea. LaGrange Park, IL: American Nuclear Society; 2002.
[3] Zhou Q, Rizwan-uddin. Bifurcation analysis of nuclear coupled dynamics of BWRs using BIFDD. In: Proceedings of the PHYSOR-2002 International Conference on the New Frontiers of Nuclear Technology: Reactor Physics, Safety and High Performance Computing; 2002 Oct 7-10; Seoul, Korea. LaGrange Park, IL: American Nuclear Society; 2002.
[4] Dokhane A, Hennig D, Chawla R, Rizwan-uddin. Nuclear-coupled thermal-hydraulic nonlinear stability analysis using a novel BWR reduced order model. Part 1. The effects of using drift flux versus homogeneous equilibrium models. In: Proceedings of the International Conference on Nuclear Engineering (ICONE-11); 2003 Apr 20-23; Tokyo, Japan.
[5] Dokhane A, Hennig D, Chawla R, Rizwan-uddin. Nuclear-coupled thermal-hydraulic nonlinear stability analysis using a novel BWR reduced order model. Part 2. Stability limits of in-phase and out-of-phase modes. In: Proceedings of the International Conference on Nuclear Engineering (ICONE-11); 2003 Apr 20-23; Tokyo, Japan.
[6] Zhou Q, Rizwan-uddin. Dynamics of a reduced order natural circulation BWR model. In: Proceedings of the PHYSOR 2004 -The Physics of Fuel Cycles and Advanced Nuclear Systems: Global Developments; 2004 Apr 25-29; Chicago, IL. LaGrange Park, IL: American Nuclear Society; 2004.
[7] Zhou Q, Rizwan-uddin. In-phase and out-of-phase oscillations in BWRs: impact of azimuthal asymmetry and second pair of ei-genvalues. Nucl Sci Eng. 2005;151:95-113.
[8] Merk BR, Cacuci DG. Multiple timescale expansions for neutron kinetics-II: illustrative application to P1 and P3 equations. Nucl Sci Eng. 2005;151:184-93.
[9] Merk BR, Cacuci DG. Multiple timescale expansions for neutron kinetics-II: illustrative application to P1 and P3 equations. Nucl Sci Eng. 2005;151:194-211.
[10] Rizwan-uddin. Turning points and sub- and supercritical bifurcations in a simple BWR model. Nucl Eng Des. 2006;236(3):267-83.
[11] Gabor A, Fazekas C, Szederkényi G, Hangos K. Modeling and identification of a nuclear reactor with temperature effects and xenon poisoning. In: 2009 35th Annual Conference of IEEE Industrial Electronics (IECON); 2009 Nov 3-5; Porto, Portugal. IEEE; 2009.
[12] Wahi P, Kumawat V. Nonlinear stability analysis of a reduced order model of nuclear reactors: a parametric study relevant to the advanced heavy water reactor. Nucl Eng Des. 2011;241(1):134-43.
[13] Pirayesh B, Pazirandeh A, Akbari M. Local bifurcation analysis in nuclear reactor dynamics by Sotomayor’s theorem. Ann Nucl Energy. 2016;94:716-31.
[14] Dhooge A, Govaerts W, Kuznetsov YA. MATCONT: a MATLAB package for numerical bifurcation analysis of ODEs. ACM Trans Math Softw. 2003;29(2):141-64.
[15] Dhooge A, Govaerts W, Kuznetsov YA, Mestrom W, Riet AM. CL_MATCONT: a continuation toolbox in MATLAB. In: Pro-ceedings of the 2004 ACM Symposium on Applied Computing; 2004 Mar 14-17; Nicosia, Cyprus. New York: ACM; 2004. p. 1614-8.
[16] Kuznetsov YA. Elements of applied bifurcation theory. 2nd ed. New York: Springer-Verlag; 1998.
[17] Kuznetsov YA. Five lectures on numerical bifurcation analysis. Utrecht, Netherlands: Utrecht University; 2009.
[18] Govaerts WJF. Numerical methods for bifurcations of dynamical equilibria. Philadelphia: Society for Industrial and Applied Mathematics; 2000.
[19] Dubey SR, Singh SK, Chaudhuri BB. Activation functions in deep learning: a comprehensive survey and benchmark. Neuro-computing. 2022;503:92-108.
[20] Kamalov AF, Nazir M, Safaraliev A, Cherukuri R, Zgheib R. Comparative analysis of activation functions in neural networks. In: 2021 28th IEEE International Conference on Electronics, Circuits, and Systems (ICECS); 2021 Nov 28-Dec 1; Dubai, United Arab Emirates. IEEE; 2021. p. 1-6.
[21] Szandała T. Review and comparison of commonly used activation functions for deep neural networks. In: Biologically inspired cognitive architectures 2019. Singapore: Springer; 2020. p. 203-24.
[22] Sridhar LN. Bifurcation analysis and optimal control of the tumor macrophage interactions. Biomed J Sci Tech Res. 2023;53(5):45123-8.
[23] Sridhar LN. Elimination of oscillation causing Hopf bifurcations in engineering problems. J Appl Math. 2024;2(4):1826.
[24] Flores-Tlacuahuac A, Morales P, Rivera-Toledo M. Multiobjective nonlinear model predictive control of a class of chemical reactors. Ind Eng Chem Res. 2012;51(17):5891-9.
[25] Hart WE, Laird CD, Watson JP, Woodruff DL, Hackebeil GA, Nicholson BL, et al. Pyomo - optimization modeling in Python. 2nd ed. New York: Springer; 2017.
[26] Wächter A, Biegler LT. On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Math Program. 2006;106(1):25-57.
[27] Tawarmalani M, Sahinidis NV. A polyhedral branch-and-cut approach to global optimization. Math Program. 2005;103(2):225-49.
[28] Sridhar LN. Coupling bifurcation analysis and multiobjective nonlinear model predictive control. Austin Chem Eng. 2024;10(3):1107.
[29] Upreti SR. Optimal control for chemical engineers. Boca Raton: CRC Press; 2013.