Some recent refereed journal publications

• Hanan WG, Heffernan DM
  Multifractal analysis of the branch structure of diffusion limited aggregates
  PHYSICAL REVIEW E 85 (2), 021407, 2012.
• Stynes D, Hanan WG, Pouryahya S, Heffernan DM
  Scaling relations and critical exponents for two dimensional parameter maps
  EUROPEAN PHYSICAL JOURNAL B 77 (4), 469-478, 2010.
• Mooney A., Keating JG, Heffernan D.M,
  Performance analysis of chaotic and white watermarks in the presence of common watermark attacks
  CHAOS SOLITONS & FRACTALS 42 560-570, 2009.
• Rogers A., Shorten R., Heffernan D.M., and Naughton D.,
  Synthesis of piecewise-linear chaotic maps: invariant densities, autocorrelations, switching
  INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 18 (8): 2169-2189, 2008.
• Hanan WG and Heffernan DM
  Global structure and finite size effects in the f(a) of diffusion-limited aggregates
  PHYSICAL REVIEW E 77, Art. No. 011405, 2008.
• Kells GA, Twamley J, Heffernan DM
  Stability analysis of the kicked harmonic oscillator's accelerator modes
  CHAOS SOLITONS & FRACTALS 36 (5): 772-780, 2008.
• Rogers A, Shorten R, Heffernan DM
  A novel matrix approach for controlling the invariant densities of chaotic maps
  CHAOS SOLITONS & FRACTALS 35 (1): 161-175, 2008
• Mooney A, Keating JG, Heffernan DM
  A detailed study of the generation of optically detectable watermarks using the logistic map
  CHAOS SOLITONS & FRACTALS 30 (5): 1088-1097, 2006.
• Kilbane D, Curnmings A, O'Sullivan G, Heffernan DM
  Quantum statistics of a kicked particle in an infinite potential well
  CHAOS SOLITONS & FRACTALS 30 (2): 412-423, 2006.
• Kilbane D, Cummings A, O'Sullivan G, Heffernan DM
  The classical-quantum correspondence of a kicked particle in an infinite potential well
  CHAOS SOLITONS & FRACTALS 30 (2): 424-440, 2006.
• Kilbane D, Cummings A, Heffernan DM, O'Sullivan G
  Characterization of the structure and eigenvalue spectra of the compound states of SmIX
  PHYSICA SCRIPTA 73 (2): 198-216, 2006.
• Rogers A, Shorten R, Heffernan DM
  Synthesizing chaotic maps with prescribed invariant densities
  PHYSICS LETTERS A 330 (6): 435-441, 2004.
• Kells GA, Twamley J, Heffernan DM
  Dynamical properties of the delta-kicked harmonic oscillator
  PHYSICAL REVIEW E 70 (1): Art. No. 015203 Part 2, 2004.
• Rogers A, Keating JG, Shorten R, Heffernan DM
  Chaotic maps and pattern recognition - the XOR problem
  CHAOS SOLITONS & FRACTALS 14 (1): 57-70, 2002.
• Stynes D, Heffernan DM
  Universality and scaling in chaotic attractor-to-chaotic attractor transitions
  CHAOS SOLITONS & FRACTALS 13 (6): 1195-1204, 2002.
• Cummings A, O'Sullivan G, Heffernan DM
  Signatures of quantum chaos in rare-earth elements: I. Characterization of the Hamiltonian matrices and coupling matrices of Ce I and Pr I using the statistical predictions of Random Matrix Theory
  JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS 34 (17): 3407-3446, 2001.
• Cummings A, O'Sullivan G, Heffernan DM
  Signatures of quantum chaos in rare-earth elements: II. Characterization of the energy eigenvalues and dipole moments of Ce I and Pr I
  JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS 34 (17): 3447-3476, 2001.
• Cummings A, O'Sullivan G, Hanan WG, Heffernan DM
  Multifractal analysis of selected rare-earth elements
  JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS 34 (13): 2547-2573, 2001.
• Stynes D, Heffernan DM
  Universality and scaling in chaotic attractor to chaotic attractor transitions in an optical ring cavity resonator
  JOURNAL OF MODERN OPTICS 48 (6): 1043-1058, 2001.
• Hanan WG, Gough J, Heffernan DMLeft-sided multifractality in a binary random multiplicative cascade
  PHYSICAL REVIEW E 63 (1): Art. No. 011109 Part 1, 2001.
• Hanan WG, Heffernan DM
  Geometrical multifractality of the perimeter of DLA clusters
  CHAOS SOLITONS & FRACTALS 12 (1): 193-195, 2001.