Research Papers

[31] Zhang, Yan; Friend, A. J.; Traud, Amanda L.; Porter, Mason A.; Fowler, James H.; and Mucha, Peter J. [2007]. Community Structure in Congrssional Cosponsorship Networks. Submitted to Physica A.

[30] Porter, Mason A.; Daraio, Chiara; Herbold, Eric B.; Szelengowicz, Ivan; and Kevrekidis, P. G. [2007]. Highly Nonlinear Solitary Waves in Phononic Crystal Dimers. Submitted to Physical Review Letters.

[29] Barnett, Ryan; Refael, Gil; Porter, Mason A.; and Hans Peter Buchler [2007]. Vortex Lattice Locking in Rotating Two-Component Bose-Einstein Condensates. Submitted to Physical Review Letters.

[28] Mainiero, Thomas and Porter, Mason A. [2007]. Quantization of a Free Particle Interacting Linearly with a Harmonic Oscillator. Submitted to Chaos.

[27] Centurion, Martin; Porter, Mason A.; Pu, Ye; Kevrekidis, P. G.; Frantzeskakis, D. J.; & Psaltis, Demetri [2007]. Modulational Instability in Nonlinearity-Managed Optical Media. Physical Review A, Vol. 75, No. 063804.

[26] Centurion, Martin; Porter, Mason A.; Pu, Ye; Kevrekidis, P. G.; Frantzeskakis, D. J.; & Psaltis, Demetri [2006]. Modulational Instability in a Layered Kerr Medium: Theory and Experiment. Physical Review Letters, Vol. 97, No. 23: 234101.

[25] Porter, Mason A.; Kevrekidis, P. G.; Malomed, Boris A.; and Frantzeskakis, D. J. [2007]. Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates. Physica D, Vol. 229, No. 1: 104-115.

[24] Centurion, Martin; Porter, Mason A.; Kevrekidis, P. G.; and Psaltis, Demetri [2006]. Nonlinearity Management in Optics: Experiment, Theory, and Simulation. Physical Review Letters, Vol. 97, No. 3: 033903.

[23] Porter, Mason A.; Mucha, Peter J.; Newman, M. E. J.; and Friend, A. J. [2007]. Community Structure in the United States House of Representatives. To appear in Physica A.

[22] Nistazakis, H. E.; and Porter, Mason A.; and Kevrekidis, P. G.; and Frantzeskakis, D. J.; and Nicolin, A.; and Chin, J. K. [2006] Fractional-Period Excitations in Continuum Periodic Systems. Physical Review A, Vol. 74, No. 063617.

[21] Porter, Mason A; Chugunova, Marina; and Pelinovsky, Dmitry E. [2006]. Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices. Physical Review E, Vol. 74, No. 036610.

[20] Callaghan, Thomas; Mucha, Peter J.; and Porter, Mason A. [2007]. Random Walker Ranking for NCAA Division I-A Football. American Mathematical Monthly, Vol. 114, No. 9: 761-777.

[19] van Noort, Martijn; Porter, Mason A.; Yi, Yingfei; and Chow, Shui-Nee [2007]. Quasiperiodic and Chaotic Dynamics in Bose-Einstein Condensates in Periodic Lattices and Superlattices. Journal of Nonlinear Science, Vol. 17, No. 1: 59-83.

[18] Chua, Vivien P. and Porter, Mason A. [2006]. Spatial Resonance Overlap in Bose-Einstein Condensates in Superlattice Potentials. International Journal of Bifurcation and Chaos, Vol. 16, No. 4: 945-959.

[17] Lansel, Steven; Porter, Mason A.; and Bunimovich, Leonid A. [2006]. One-Particle and Few-Particle Billiards, Chaos, Vol. 16, No. 1: 013129.

[16] Porter, Mason A; Kevrekidis, P. G.; Carretero-Gonza\'alez, R.; and Frantzeskakis, D. J. [2006]. Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices, Physics Letters A, Vol. 352: 210-215.

[15] Porter, Mason A. and Kevrekidis, P. G. [2005]. Bose-Einstein Condensates in Superlattices. SIAM Journal on Applied Dynamical Systems, Vol. 4, No. 4: 783-807.

[14] Porter, Mason A; Mucha, Peter J.; Newman, M. E. J.; and Warmbrand, Casey M [2005]. A Network Analysis of Committees in the United States House of Representatives. Proceedings of the National Academy of Sciences, Vol. 102, No. 20: 7057-7062.

[13] Porter, Mason A.; Carretero-Gonzalez, R.; Kevrekidis, P. G.; and Malomed, Boris A. [2005]. Nonlinear Lattice Dynamics of Bose-Einstein Condensates. Chaos, Vol. 15, No. 1: 015115.

[12] Porter, Mason A. and Cvitanovic, Predrag [2004]. A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates. Chaos, Vol. 14, No. 3: 739-755.

[11] Porter, Mason A; Kevrekidis, P. G.; and Malomed, Boris A. [2004]. Resonant and Non-Resonant Modulated Amplitude Waves for Binary Bose-Einstein Condensates in Optical Lattices. Physica D, Vol. 196, No. 1-2: 106-123.

[10] Liboff, Richard L. and Porter, Mason A. [2004]. Energy absorption and dissipation in quantum systems. Physica D, Vol. 195, No. 3-4: 398-402.

[9] Porter, Mason A. and Cvitanovic, Predrag [2004]. Modulated Amplitude Waves in Bose-Einstein Condensates. Physical Review E, Vol. 69, No. 047201.

[8] Porter, Mason A. and Liboff, Richard L. [2002]. A Galerkin Approach to Electronic Near-Degeneracies in Molecular Systems. Physica D, Vol. 167, No. 3-4: 218-247.

[7] Liboff, Richard L., Weimann, Nils, and Porter, Mason A. [2002]. Prime Quasientropy and Quasichaos. International Journal of Theoretical Physics, Vol. 41, No. 7: 1389-1395.

[6] Porter, Mason A. [2001]. Nonadiabatic Dynamics in Semiquantal Physics. Reports on Progress in Physics, Vol. 64, No. 9: 1165-1189.

[5] Porter, Mason A. and Liboff, Richard L. [2001]. Quantum Chaos for the Vibrating Rectangular Billiard. International Journal of Bifurcation and Chaos, Vol. 11, No. 9: 2317-2337.

[4] Porter, Mason A. and Liboff, Richard L. [2001]. Vibrating Quantum Billiards on Riemannian Manifolds. International Journal of Bifurcation and Chaos, Vol. 11, No. 9: 2305-2315.

Note: Papers [4] and [5] constitute the cover story of the 9/01 issue of International Journal of Bifurcation and Chaos.

[3] Porter, Mason A. and Liboff, Richard L. [2001]. Bifurcations in One Degree-of-Vibration Quantum Billiards. International Journal of Bifurcation and Chaos, Vol. 11, No. 4: 903-911.

[2] Porter, Mason A. and Liboff, Richard L. [2001]. The Radially Vibrating Spherical Quantum Billiard. Discrete and Continuous Dynamical Systems, 310-318. Y2K International Conference on Differential Equations and Dynamical Systems (May, 2000).

[1] Liboff, Richard L. and Porter, Mason A. [2000]. Quantum Chaos for the Radially Vibrating Spherical Billiard. Chaos, Vol. 10, No. 2: 366-370.


Ph.D. Thesis: Quantum Chaos in Vibrating Billiard Systems [May 2002].


Expository Papers

[5] Porter, Mason A. [2007]. Life on Both Sides of the Fence: Mentoring Versus Being Mentored, in Proceedings of the Conference on Promoting Undergraduate Research in Mathematics (Joe Gallian, Editor): 349-354. Extended version (physics/0611046).

[4] Porter, Mason A. and Lansel, Steven [2006]. Mushroom Billiards, Notices of the American Mathematical Society, Vol. 53, No. 3: 334-337 (cover article).

[3] Porter, Mason A. and Cvitanovic, Predrag [2005]. Ground Control to Niels Bohr: Exploring Outer Space with Atomic Physics, Notices of the American Mathematical Society, Vol. 52, No.9: 1020-1025.

[2] Callaghan, Thomas; Mucha, Peter J.; and Porter, Mason A. [2004]. The Bowl Championship Series: A Mathematical Review, Notices of the American Mathematical Society, Vol. 51, No. 8: 887-893.

[1] Porter, Mason A. and Liboff, Richard L. [2001]. Chaos on the Quantum Scale, American Scientist, Vol. 89, No. 6: 532-537.

Note: Paper [1] constitutes the cover story of the November-December 2001 issue of American Scientist. In 2003, it was reprinted as part of the compilation PowerWeb: Conceptual Physics. In 2003, it was also translated into German and Spanish and appeared in the German version of Scientific American and in some magazine in South America.


Other Publications

[3] Mainiero, Thomas and Porter, Mason A. [2007]. Avoided Level Crossings in the Quantization of a Mixed Regular-Chaotic System (.wmv format), to appear in Chaos (Gallery of Nonlinear Images).

[2] Porter, Mason A.; Friend, A. J.; Mucha, Peter J.; and Newman, M. E. J. [2006]. Community Structure in the U.S. House of Representatives. Chaos, Vol. 16, No. 4: 041106 (Gallery of Nonlinear Images). 2006 APS March Meeting poster. (Note: The poster file per se is 45 megs.)

[1] Mayer-Kress, Gottfried and Porter, Mason A. [2001]. Remarks on Whale Culture from a Complex Systems Perspective. Behavior and Brain Sciences Vol. 24, No. 2, p. 344-+ (commentary).


Software

[1] Lansel, Steven and Porter, Mason A. [2004]. Billiard Simulator for Matlab (8/24/04). Kris Kazlowski provided updates for the 2006 Edition (11/09/06). Also download the original documentation (5/02/04) and the Appendix on 2006 updates (9/14/06).


An Introduction to LaTeX

[1] Porter, Mason A. [2002]. A Hitchhiker's Guide to LaTeX (or how I learned to stop worrying and love writing my dissertation), preprint.


Opinion/Journalistic Pieces

[4] Porter, Mason A. [2003]. Quantitative Literacy: Overcoming the Fear of Mathematics, Beverly Hills Weekly, Issue 200, 7/31/03-8/06/03.

[3] Porter, Mason A. [2002]. Graduate Student Seminars: Encouraging Student Participation and Developing Essential Research Skills Using Cookies, Doughnuts, and Mathematics, Notices of the American Mathematical Society, p. 1357 (12/02).

[2] Wirkus, Stephen and Porter, Mason A. [2002]. SIAM Hears from Next-generation Mathematical Biologists At Philadelphia Meeting. SIAM News, Vol 35, No 8 (10/02).

[1] Porter, Mason A. [2001]. A Next-Generation Scientist's Impression: Recent Trends in Nonlinear Dynamics, SIAM News, Vol 34, No 4 (5/01).


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