All Published PaperS 

My scholar indices: w=4, h=19 (Hirsch), g=30, that is 4 papers - each with 40 or more citations (142,113,93,83); 19 papers - each with 19 or more citations; 30 papers with the combined 30^2=900 citations or more. Total number of citations: 1103 (as of Oct. 30, 2018). See 'Citations.'​
  1. W. Marszalek, J. Sadecki, Parallel computing of 2-D bifurcation diagrams in circuits with electric arcs, IEEE Trans. on Plasma Science, 2018, doi: 10.1109/TPS.2018.2871576.
  2. W. Marszalek, J. Sadecki, Complex two-parameter bifurcation diagrams of a simple oscillating circuit, IEEE Trans. Circuits & Systems - II: Express Briefs, 2018, doi: 10.1109/TCSII.2018.2871063.  
  3. W. Marszalek, Self-crossing memristive pinched hystereses in autonomous implicit models, Journal of Circuits, Systems and Computers, 2018, doi: 10.1142/S0218126619501391.
  4. W. Marszalek, Autonomous models of self-crossing pinched hystereses for mem-elements, Nonlinear Dynamics, vol. 92, no. 4, pp. 1975-1983, 2018, https://doi.org/10.1007/s11071-018-4175-4.
  5. W. Marszalek, Applied Differential-Algebraic Equations, Publisher: Opole Univ. of Technology, June 2018, ISBN: 978-83-66033-09-2.
  6. W. Marszalek, J. Sadecki, 2D bifurcations and chaos in nonlinear circuits: a parallel computational approach, 2018 15th Int. Conf. on Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design (SMACD), Prague, Czech Republic, 2-5 July 2018, doi: 10.1109/SMACD.2018.8434908.
  7. W. Marszalek, Autonomous implicit models of pinched hystereses with applications to memristors, Przeglad Elektrotechniczny, vol. 94, no. 4, pp. 13-16, 2018, doi:10.115199/48.2018.05.02. 
  8. M. Melosik, P. Sniatala, W. Marszalek, Hardware Trojan detection in chaos-based cryptography, Bulletin of the Polish Academy of Sciences, Technical Sciences, vol. 65 (5), pp. 725-732, 2017.
  9. W. Marszalek, Z. Trzaska, Memristive circuits and their Newtonian models $\phi''=F(t,\phi,\phi')/m$ with memory, arXiv:1703.03880 [cs.ET], March 2017.
  10. W. Marszalek, Z. Trzaska, Dynamical models of electric arcs and memristors: the common properties, IEEE Trans. on Plasma Science, 2017, DOI: 10.1109/TPS.2016.2645879.
  11. M. Melosik, W. Marszalek, On the 0/1 test for chaos in continuous systems, Bulletin of the Polish Academy of Sciences. Technical Sciences, vol. 64, no. 3, pp. 521-528, 2016.
  12. M. Melosik, W. Marszalek, Using the 0-1 test for chaos to detect hardware trojans in chaotic bit generators, Electronics Letters, vol. 52, no. 11, pp. 919-921, 2016, doi: 10.1049/el.2016.0861.
  13. W. Marszalek, H. Podhaisky, 2D bifurcations and Newtonian properties of memristive Chua's circuits, EPL (Europhysics Letters), vol.113, no. 1, 10005, 2016.
  14. W. Marszalek, Memristive fingerprints of electric arcs, arXiv:1601.01612 [cs.ET], 31 Dec. 2015.
  15. W. Marszalek, T. Amdeberhan, Memristive jounce (Newtonian) circuits, Applied Mathematical Modelling, vol. 40, no. 4, pp. 2619-2624, 2016, DOI: 10.1016/j.apm.2015.10.012.
  16. W. Marszalek, Bifurcations and Newtonian properties of Chua's circuits with memristors, DeVry Univ. J. of Scholarly Research, vol.2, no.2, pp.13-21, 2015.
  17. W. Marszalek, T. Amdeberhan, Least action principle for mem-elements, J. Circuits, Systems and Computers, vol. 24, no. 10 (2015), DOI: 10.1142/S0218126615501480.
  18. W. Marszalek, On the action parameter and one-period loops of oscillatory memristive circuits, Nonlinear Dynamics, vol. 82, issue 1, pp. 619-628 (2015) DOI: 10.1007/s11071-015-2182-2.
  19. W. Marszalek, Z. W. Trzaska, Properties of memristive circuits with mixed-mode oscillations, Electr. Lett., vol. 51, no.2, 2015, pp. 140-141, DOI: 10.1049/el.2014.3235. 
  20. W. Marszalek, Z. W. Trzaska, Memristive circuits with steady-state mixed-mode oscillations, Electr. Lett., vol. 50, no. 18, 2014, pp.1275-1277,  DOI: 10.1049/el.2014.2213.
  21. M. Melosik, W. Marszalek, A Hybrid Chaos-Based Pseudo-Random Bit Generator in VHDL-AMS, 57th IEEE Midwest Symposium on Circuits and Systems, 3-6 August, College Station, TX, USA, http://www.mwcas-2014.org/. DOI: 10.1109/MWSCAS.2014.6908445
  22. W. Marszalek, Z. Trzaska, Mixed Numerical and Analytical Analysis of Nonlinear Circuits with Nonsmooth Inputs: a Hyperbolic Algebra Approach, 57th IEEE Midwest Symposium on Circuits and Systems, 3-6 August 2014, College Station, TX, USA, http://www.mwcas-2014.org/. DOI: 10.1109/MWSCAS.2014.6908443
  23. W. Marszalek, A DAE approach to similarity solutions of unsteady fluid flows: an application case study, 2014 American Control Conference, 4-6 June, 2014, Portland, Oregon, pp.5145-5149, DOI: 10.1109/ACC.2014.6858785.
  24. W. Marszalek, Z. Trzaska, Mixed-mode oscillations and chaotic solutions of jerk (Newtonian) equations, Int. J. Computational and Applied Mathematics, Vol. 262, pp. 373-383, 2014, http://dx.doi.org/10.1016/j.cam.2013.07.022
  25. W. Marszalek, Z. Trzaska,  Mixed-mode and chaotic oscillating systems: bifurcations and newtonian properties, 56th IEEE International Midwest Symposium on Circuits and Systems (MWSCAS), 4-7 Aug. 2013, Columbus (OH),http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6674759
  26. W. Marszalek, M. Melosik, Circuits with mixed-mode oscillations in VHDL-AMS,  56th IEEE International Midwest Symposium on Circuits and Systems (MWSCAS), 4-7 Aug. 2013, Columbus (OH),http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6674607
  27. R. Christie, W. Marszalek, An interdisciplinary approach to STEM education through reconsideration of a classic on education, 2013 ISEC, 9 March 2013, Princeton, NJ, pp. 1-5,http://dx.doi.org/10.1109/ISECon.2013.6525194
  28. W. Marszalek, Fold points and singularity induced bifurcation in inviscid transonic flow, Physics Letters A, vol. 376, issues 28-29, pp. 2032-2037, 2012,http://dx.doi.org/10.1016/j.physleta.2012.05.003 
  29. W. Marszalek, Circuits with oscillatory hierarchical Farey sequences and fractal properties,  Circuits, Systems, Signal Processing, vol. 31, no. 4, pp. 1279-1296, 2012, (DOI)10.1007/s00034-012-9392-3.
  30. H. Podhaisky, W. Marszalek,  Bifurcations and synchronization of singularly perturbed oscillators: an application case study,Nonlinear Dynamics, vol.69, no.3, pp. 949-959, 2012, (DOI)10.1007/s11071-011-0316-8
  31. W. Marszalek, Z. Trzaska, New jerk circuits with mixed-mode oscillations, 2012 Int. Conf. on Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design (SMACD), Seville (Spain), pp. 105-108, 10.1109/SMACD.2012.6339428  
  32. W. Marszalek, Singularity induced bifurcation and fold points in inviscid transonic flow, 2012 American Control Conference, 27-29 June, 2012, Montreal, Canada, pp. 1761-1766.
  33. W. Marszalek, Z. Trzaska, Bifurcations of nonlinear circuits with mixed-mode and chaotic oscillations, 34th IEEE Sarnoff Symposium, 3-4 May, 2011, Princeton, NJ (USA).
  34. W. Marszalek, Z. Trzaska, Singular Hopf bifurcations in DAEs models of power systems, Energy and Power Engineering, vol.3, no.1, pp.1-8, 2011.
  35. W. Marszalek, Z. Trzaska, Mixed-mode oscillations and chaos in nonlinear circuits, Acta Technica, vol.56, no.1, pp.73-87, 2011.
  36. W. Marszalek, Prototypical circuits with oscillatory hierarchical sequences, bifurcations and fractal properties, Int. J. Pure & Applied Math., vol. 71, no. 2, pp.309-328, 2011.
  37. W. Marszalek, Singularly perturbed ODE models in viscous magnetohydrodynamics (poster), 21st Intern. Conf. on Numerical Simulation of Plasmas, Lisbon (Portugal), 6-9 Oct. 2009.  
  38. W. Marszalek, Z. Trzaska, Nonlinear electrical circuits with mixed-mode oscillations, Elektronika, no. 9, pp.128-131, 2009.
  39. W. Marszalek, Z. Trzaska, Mixed-mode oscillations in a modified Chua's circuit, Circuits, Systems, and Signal Processing, vol. 29, no.6, pp.1075-1087, Dec. 2010.
  40. W. Marszalek, Analysis of differential-algebraic models in resistive Hall magnetohydrodynamics, Electrical Engineering Review, vol.85, no. 3, pp.65-70, May 2009.
  41. W. Marszalek, Fold points and singularities in Hall MHD differential-algebraic equations, IEEE Trans. on Plasma Science, vol. 37, no. 1, pp.254-260, 2009.
  42. W. Marszalek, Z. Trzaska, Mixed mode oscillations in a modified Chua's circuit, NUMDIFF-12 Conference (Numerical treatment of differential equations), Halle (Germany), 14-18 Sept. 2009.
  43. W. Marszalek, Z. Trzaska, New solutions of resistive MHD systems with singularity induced bifurcations, IEEE Trans. on Plasma Science, vol.35, no.2, pp.509-515, 2007.
  44. W. Marszalek, Z. Trzaska, Bifurcations of MHD DAEs at singularities, 2007 European Control Conference, Kos (Greece), 2-5 July 2007.
  45. W. Marszalek, Z. Trzaska, Singularity induced bifurcations of dissipative MHD systems, The 15th Mediterranean Conf. on Control and Automation (MED'07), Athens (Greece), 27-29 June, 2007.
  46. W. Marszalek, Z. Trzaska, On the Hopf and singularity induced bifurcations in power systems, 2007 American Control Conference, New York, 11-13 July 2007.
  47. Z. Trzaska, W. Marszalek, Computing periodic solutions of linear differential-algebraic systems with nonsingular excitations, Archiv of Electrical Engineering, vol. LI, no.3-4, pp.255-271, 2006.
  48. W. Marszalek, Z. Trzaska, DAE models of electrical power systems and their bifurcations around singularities, 43rd IEEE CDC'04, 14-17 Dec. 2004, Paradise Island, Bahamas.
  49. W. Marszalek, Z. Trzaska, Singularity induced bifurcations in power systems, IEEE Trans. on Power Systems, vol.20, no.1, pp.312-320, Feb. 2005.
  50. Z. Trzaska, W. Marszalek, Optimal transformations of asymmetric elements in three-phase networks, European Transactions on Electrical Power (ETEP), vol.15, no.2, pp. 144-155, 2005.
  51. W. Marszalek, Z. Trzaska, A boundary value problem for linear PDAEs, Int. J. Applied Math. and Computer Sci., 2002, vol.12, no.4, pp.101-105
  52. W. Marszalek, T. Amdeberhan, and R. Riaza, Singularity crossing phenomena in DAEs: a two-phase fluid flow application case study, Computers and Mathematics with Appl., 2005, vol.49, nos.1-2, pp.303-319.
  53. R. Riaza, S. L. Campbell, W. Marszalek, On singular equilibria of index-1 DAEs, Circuits, Systems, and Signal Processing, vol19, no.2, pp.1-27, 2000
  54. W. Marszalek, A boundary value problem for linear PDAEs (Invited paper),NUMDIFF-9 Conference, Halle (Germany), 4-8 Sept. 2000
  55. W. Marszalek, S.L. Campbell, DAEs arising from traveling wave solutions of PDEs II, Comp. Math. Appl., vol.37, no.1, pp.15-34, 1999
  56. S.L. Campbell, W. Marszalek, Index of infinite dimensional differential algebraic equations, Mathematical and Computer Modeling of Dynamical Systems, vol.5, no.1, pp.18-42, 1999
  57. S.L. Campbell, W. Marszalek, Mixed symbolic-numerical computations with general DAEs: an applications case study, Numerical Algorithms, vol.19, pp.85-94, 1998
  58. S.L. Campbell, W. Marszalek, The interaction between simulation and modeling in infinite dimensional systems, in: Theory and Practice of Control Systems, A. Tornambe, G. Conte, A.M. Perdon (eds.), World, Scientific, 1998.
  59. S.L. Campbell, W. Marszalek, DAEs arising from traveling wave solutions of PDEs I, J. Comp. Appl. Math., vol.82, pp.41-58, 1997
  60. W. Marszalek, Analysis of Partial Differential Algebraic Equations, PhD Thesis, 1996, North Carolina State University, Raleigh, NC, USA
  61. S.L. Campbell, W. Marszalek, ODE/DAE integrators and MOL problems,Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM),pp.251-254, 1996
  62. W. Marszalek, Z. W. Trzaska, Analysis of implicit hyperbolic multivariable systems, Appl. Math. Modeling, vol.19, pp.400-410, 1995
  63. W. Marszalek, H. Unbehauen, A simple method of recursive parameter identification of a class of distributed parameter systems, Int. J. Syst. Sci., vol.23, 1993
  64. Z.W. Trzaska, W. Marszalek, Inversion of matrix pencils for generalized systems, J. Franklin Inst., vol.330, pp.479-490, 1993
  65. Z.W. Trzaska, W. Marszalek, Singular distributed parameter systems, IEE Proceedings, Pt.D, Control Theory and Appl., vol.140, pp.305-308, 1993
  66. W. Marszalek, H. Unbehauen, Second order generalized linear systems arising in analysis of flexible beams, Proc. 31st IEEE CDC, Tucson, AZ (USA), 1992
  67. F.L. Lewis, B.G. Mertzios, and W. Marszalek, Analysis of singular bilinear systems using Walsh functions, IEE Proceedings, Pt.D, Control Theory and Appl., vol.138, pp.3-10, 1991.
  68. W. Marszalek, Structure analysis of purely singular systems with orthogonal functions, Proc. IMACS-IFAC Symp. MCTS'91, Lille (France), pp.170-175, 1991.
  69. W. Marszalek, Orthogonal functions analysis of singular systems with impulsive responses, IEE Proceedings, Pt.D, Control Theory and Appl., vol.137, pp.84-86, 1990
  70. F.L. Lewis, W. Marszalek, and B.G. Mertzios, Walsh function analysis of 2-D generalized continuous systems, IEEE Trans. Automatic Control, vol.AC-35, pp.1140-1144, 1990
  71. G.T. Kekkeris, W. Marszalek, Recursive analysis of two-dimensional discrete systems: an operational approach, J. Franklin Inst., vol.327, pp.457-464, 1990
  72. W. Marszalek, Remarks on applications of 2D singular models, in: R. Hanus, P. Kool, S. Tzafestas (eds) Mathematical and Intelligent Models in System Simulation, Baltzer AG, IMACS'91, pp.163-167, 1991
  73. W. Marszalek, Structure analysis of singular systems with orthogonal functions, WSI Press, Opole (Poland), 1990 (Monograph in Polish)
  74. W. Marszalek, J. Sadecki, Dynamic programming for 2-D discrete linear systems, IEEE Trans. Automatic Control, vol. AC-34, pp.181-184, 1989
  75. W. Marszalek, G.T. Kekkeris, Sensitivity analysis of systems involving $\lambda$-variation via block-pulse functions, Int. J. Syst. Science, vol.20, pp.2003-2009, 1989
  76. W. Marszalek, G.T. Kekkeris, A note on the error analysis of the orthogonal series solution of linear time invariant systems, Int.J. Syst. Science, vol.20, pp.2351-2353, 1989
  77. W. Marszalek, G.T. Kekkeris, Heat exchangers and linear image processing theory, Int. J. Heat and Mass Transfer, vol.32,pp.2363-2375, 1989
  78. W. Marszalek, J. Sadecki, Parallel dynamic programing for 2D discrete linear systems, Arch. Autom. and Telemech., vol.XXXIV, no.4, 1989
  79. Z.W. Trzaska, W. Marszalek, Theory of Electrical Engineering, Pt. I and II, WSI Press, Opole (Poland), 1988 (Monograph in Polish)
  80. W. Marszalek, Optimal estimation in two-dimesional discrete systems, Bull. Polish Acad. Sciences, Techn. Series, vol.36, no.5-6, 1988
  81. W. Marszalek, On solving of some heat exchangers problems via image processing equations, Arch. Termodynamiki, vol.8, pp.55-72, 1987
  82. W. Marszalek, On modeling of distributed parameter processes with two-dimensional discrete state-space equations, Rozprawy Elektrotechniczne, vol.XXXIII, no.3, 1987
  83. W. Marszalek, Two-dimensional discrete Roesser's model for the Poisson equation, Rozprawy Elektrotechniczne, vol.XXXIII, no.1, pp.3-10, 1987 (in Polish)
  84. Z.W. Trzaska, W. Marszalek, Theory of Electrical Circuits and Systems,WSI Press, Opole (Poland), 1987 (Monograph in Polish)
  85. W. Marszalek, Two-dimensional discrete model with varying coefficients,IEE Proceedings, Pt.D, Control Theory and Appl., vol.133, pp.177-183, 1986
  86. W. Marszalek, Piecewise-constant analysis of bilinear systems, Arch. Elektrotech., vol.XXXV, pp.541-552, 1986 (in Polish)
  87. T. Kaczorek, W. Marszalek, Output dead-beat control problem for Roesser's model with variable coefficents, Bull. Polish Acad. Sciences, Techn. Series, vol.33, pp.513-518, 1985
  88. W. Marszalek, Analysis of bilinear systems with Picard's method and block-pulse operational matrices, J. Franklin Inst., vol.320, pp.105-109, 1985
  89. W. Marszalek, On using orthogonal functions for the analysis of singular systems, IEE Proceedings, Pt.D, Control Theory and Appl., vol.132, pp.131-132, 1985
  90. W. Marszalek, On the nature of block-pulse operational matrices: some further results, Int. J. Syst. Science, vol.16, pp.727-743, 1985
  91. W Marszalek, Remarks on 'Minimum energy control of time-delay systems via Walsh functions', Optimal Control, Appl. and Methods, vol.6, pp.65-68, 1985
  92. W. Marszalek, Two-dimensional state-space models for hyperbolic PDEs,Appl. Math. Modeling, vol.8, pp.11-14, 1984
  93. W. Marszalek, On the nature of block-pulse operational matrices, Int. J. Syst. Science, vol.15, pp.983-989, 1984
  94. W. Marszalek, Block-pulse functions method of the inverse Laplace transform for irrational and transcendental transfer functions, J. Franklin Inst., vol.318, pp.193-200, 1984
  95. W. Marszalek, Discrete-time approximation via bilinear transformation,Found. Control Engineering, vol.9, pp.167-176, 1984
  96. W. Marszalek, Two-dimensional inverse Laplace transform via block-pulse functions method, Int. J. Syst. Sci., vol.14, pp.1311-1317, 1983
  97. W. Marszalek, Solution of matrix differential equations via Walsh functions,Alta Frequenza, vol. LI, pp.50-52, 1982
  98. W. Marszalek, Singularly perturbed resistive-viscous models in magnetohydrodynamics, 35th Int. Conf. on Plasma Science, May 31 - June 5, 2009, San Diego, CA.
  99. W. Marszalek, Z. Trzaska, Mixed mode oscillations in a modified Chua's circuit, NUMDIFF-12 Conference (Numerical treatment of differential equations), Halle (Germany), 14-18 Sept. 2009
  100. W. Marszalek, Teaching mathematics to engineering students, AMS-MAA Joint Meetings, Baltimore, 15-18 January 2003.
  101. W. Marszalek, T. Amdeberhan, Traveling wave DAEs in spray dynamics,Invited minisymposium talk at SciCADE'01, Vancouver (Canada), July 29 - Aug. 3, 2001.
  102. W. Marszalek, A boundary value problem for linear PDAEs (Invited paper),NUMDIFF-9 Conference, Halle (Germany), 4-8 Sept. 2000
  103. W. Marszalek, Traveling waves and differential algebraic equations,EUROMECH 3rd European Nonlinear Oscillation Conference, Copenhagen (Denmark), 8-12 Aug. 1999
  104. W. Marszalek, Singularity induced bifurcations in differential algebraic equations Fourth SIAM Conference on Control and Its Applications, Sect. CP16, Jacksonville, FL, May 7-9, 1998
  105. S.L. Campbell, R. Hollenbeck, and W. Marszalek, Mixed symbolic-numerical computations with general DAEs, Proc. Symp. Differential-Algebraic Equations: Algebraic and Numerical Aspects, Grenoble (France), May 26-29, pp.23-34, 1997
  106. W. Marszalek, H. Unbehauen, Second order generalized linear systems arising in analysis of flexible beams, Proc. 31st IEEE CDC, Tucson, AZ (USA), 1992
  107. W. Marszalek, Structure analysis of purely singular systems with orthogonal functions, Proc. IMACS-IFAC Symp. MCTS'91, Lille (France), pp.170-175, 1991
  108. W. Marszalek, An example of a 3D singular system, Proc. II Int. Symp. Implicit and Robust Systems, Warsaw (Poland), pp.30-33, 1991
  109. W. Marszalek, J. Sadecki, A dynamic programming succesive approximation technique for 2D discrete linear systems, Proc. IFAC Workshop System Structure and Control: State-Space and Polynomial Methods, Prague (Czech Republic), pp.265-268, 1989