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THIS WEBPAGE HAS NOT BEEN UPDATED SINCE JUNE 14, 2010.  PLEASE VISIT MY UPDATED WEBPAGE: http://www.math.udel.edu/~rahman/

Current Research Projects:  Professor Denis Blackmore and I have created an algorithm that converts Boolean functions into algebraic equations.  This is particularly useful for circuits with feedbacks because the algorithm converts the functions into difference equations, which can exhibit interesting and sometimes chaotic dynamics.  Software will also be created to implement the algorithm.

Research Interest:   Dynamical Systems (with applications in electricity and magnetism, biology, fluids, economics, and heavenly bodies), Partial Differential Equations, and High Energy Physics.

Papers:

• D. Blackmore, A. Rahman, J. Shah, Discrete dynamical modeling and analysis of the R-S flip-flop circuit, Chaos, Solitons & Fractal, (2009), doi:10.1016/j.chaos.2009.02.032

• A. Rahman, N. Sereno, H. Shang, Benchmarking the Multipass Beam-Breakup Simulation Code BI, OAG-TN-2008-029, (2008).

Poster Presentations:

• Frontiers in Applied and Computational Mathematics 2010:  A Scheme for Analyzing the Dynamics of Logical Circuits.

• Dana Knox Student Research Showcase, NJIT:  Discrete Dynamical Modeling and Analysis of the R-S flip-flop circuit.

• GSUMC, Monmouth University:  Discrete Dynamical Modeling and Analysis of the R-S flip-flop circuit.

• Frontiers in Applied and Computational Mathematics 2008:  Chaos of the R-S flip-flop circuit.

• NJITED, NJIT:  Chaos of the R-S flip-flop circuit.

Research Internships:

• Lee Teng Particle Accelerator Internship 2008

Experiments:  http://web.njit.edu/~mathclub/DoublePendulum.htm

Podcasts:  http://learningspaces.njit.edu/student/category/topics/math-98