Mahidol University Nonlinear Systems Group: Recent Publications


@Article{AE23,
  author =       {Michael A. Allen and Kenneth Edwards},
  title =        {Identities involving the tribonacci numbers squared via tiling with combs},
  journal =      FQ,
  year =         2023,
  volume =       {61},
  number =       {1},
  pages =        {21-27}
}

preprint: AE23_.pdf
This The Fibonacci Quarterly article is available from the Fibonacci Association by following this link.


@Article{AE22a,
  author =       {Michael A. Allen and Kenneth Edwards},
  title =        {Fence tiling derived identities involving the metallonacci numbers squared or cubed},
  journal =      FQ,
  year =         2022,
  volume =       {60},
  number =       {5},
  pages =        {5-17},
  OPTannote =    {m}
}

This The Fibonacci Quarterly open-access article can be downloaded by following this link. For a primer on the paper see this link.


@Article{All22,
  author =       {Michael A. Allen},
  title =        {On a Two-Parameter Family of Generalizations of {Pascal}'s Triangle},
  journal =      JIS,
  year =         2022,
  volume =       {25},
  number =       {9},
  pages =        {22.9.8}
}

This Journal of Integer Sequences open-access article can be downloaded by following this link. For a primer on the paper see this link.


@Article{AE22,
  author =       {Michael A. Allen and Kenneth Edwards},
  title =        {On Two Families of Generalizations of {Pascal}'s Triangle},
  journal =      JIS,
  year =         2022,
  volume =       {25},
  number =       {7},
  pages =        {22.7.1}
}

This Journal of Integer Sequences open-access article can be downloaded by following this link. For a primer on the paper see this link.


@Article{NA22,
  author =       {Peera Niranatlumpong and Michael A Allen},
  title =        {A 555 Timer {IC} Chaotic Circuit: Chaos in a Piecewise Linear System With Stable but No Unstable Equilibria},
  journal =      IEEETCSI,
  year =         2022,
  volume =       {69},
  number =       {2},
  pages =        {798-810}
}

This IEEE Transactions on Circuits and Systems I article is available from the IEEE by following this link. For a primer on the paper see this link.


@Article{EA21,
  author =       {Kenneth Edwards and Michael A. Allen},
  title =        {New combinatorial interpretations of the {Fibonacci} numbers squared, golden rectangle numbers, and {Jacobsthal} numbers using two types of tile},
  journal =      JIS,
  year =         2021,
  volume =       {24},
  number =       {3},
  pages =        {21.3.8}
}

This Journal of Integer Sequences open-access article can be downloaded by following this link. For a primer on the paper see this link.


@Article{EA20a,
  author =       {Kenneth Edwards and Michael A. Allen},
  title =        {A new combinatorial interpretation of the {Fibonacci} numbers cubed},
  journal =      FQ,
  year =         2020,
  volume =       {58},
  number =       {5},
  pages =        {128-134}
}

This The Fibonacci Quarterly open-access article can be downloaded by following this link. For a primer on the paper see this link.


@Article{EA20,
  author =       {Kenneth Edwards and Michael A. Allen},
  title =        {A new combinatorial interpretation of the {Fibonacci} numbers squared. {Part II}},
  journal =      FQ,
  year =         2020,
  volume =       {58},
  number =       {2},
  pages =        {169-177}
}

preprint: EA20_.pdf
This The Fibonacci Quarterly article is available from the Fibonacci Association by following this link.


@Article{EA19,
  author =       {Kenneth Edwards and Michael A. Allen},
  title =        {A new combinatorial interpretation of the {Fibonacci} numbers squared},
  journal =      FQ,
  year =         2019,
  volume =       {57},
  number =       {5},
  pages =        {48-53}
}

This The Fibonacci Quarterly open-access article can be downloaded by following this link.


@Article{All18,
  author =       {Michael A Allen},
  title =        {Automated checking and editing of \LaTeX\ manuscripts},
  journal =      SCIAS,
  year =         2018,
  volume =       {44S},
  number =       {1},
  pages =        {7-10},
  doi =          {10.2306/scienceasia1513-1874.2018.44S.007}
}

This ScienceAsia open-access article can be downloaded by following this link.


@Article{CRBAFD16,
  author =       {Wirong Chanthorn and Yingluck Ratanapongsai and Warren Y Brockelman and Michael A Allen and Charly Favier and Marc A Dubois},
  title =        {Viewing tropical forest succession as a three-dimensional dynamical system},
  journal =      TE,
  year =         2016,
  volume =       9,
  number =       2,
  pages =        {163-172}, 
  doi =          {10.1007/s12080-015-0278-4}
}

preprint: CRBAFD16_.pdf
This Theoretical Ecology article is available from Springer by following this link.


@Article{SAS16,
  author =       {Orapun Suwannasen and Michael A Allen and Julien Clinton Sprott},
  title =        {The speed of reaction-diffusion fronts on fractals: testing the {Campos-M\'endez-Fort} formula},
  journal =      SCIAS,
  year =         2016,
  volume =       {42},
  number =       {1},
  pages =        {33-39},
  doi =          {10.2306/scienceasia1513-1874.2016.42.033}
}

This ScienceAsia open-access article can be downloaded by following this link.


@Article{EA15,
  author =       {Kenneth Edwards and Michael A. Allen},
  title =        {Strongly restricted permutations and tiling with fences},
  journal =      DAM,
  year =         2015,
  volume =       {187},
  pages =        {82-90},
  doi =          {10.1016/j.dam.2015.02.004}
}

This Discrete Applied Mathematics open archive article can be downloaded by following this link.


@Article{WASUB14,
  author =       {Shahid Waseem and Michael A Allen and Stefan Schreier and Rachanee Udomsangpetch and Sebastian C Bhakdi},
  title =        {Antibody-Conjugated Paramagnetic Nanobeads: Kinetics of Bead-Cell Binding},
  journal =      IJMS,
  year =         2014,
  volume =       {15},
  number =       {5},
  pages =        {8821-8834},
  doi =          {10.3390/ijms15058821}
}

This International Journal of Molecular Sciences open-access article can be downloaded by following this link.


@Article{All10,
  author =       {Michael A Allen},
  title =        {On the current obsession with publication statistics},
  journal =      SCIAS,
  year =         2010,
  volume =       {36},
  number =       {1},
  pages =        {1-5},
  doi =          {10.2306/scienceasia1513-1874.2010.36.001}
}

This ScienceAsia open-access article can be downloaded by following this link.


@Article{ZBA08,
  author =       {Lixin Zhang and Warren Y Brockelman and Michael A Allen},
  title =        {Matrix analysis to evaluate sustainability: The tropical tree {{\em Aquilaria crassna}}, a heavily poached source of agarwood},
  journal =      BC,
  year =         {2008},
  volume =       {141},
  number =       {6},
  pages =        {1676-86},
  doi =          {10.1016/j.biocon.2008.04.015} 
}

This Biological Conservation article can be downloaded by following this link.


@Article{HAR08,
  author =       {Nongluk Hongsit and Michael A Allen and George Rowlands},
  title =        {Growth rate of transverse instabilities of solitary pulse solutions to a family of modified {Zakharov-Kuznetsov} equations},
  journal =      PLA,
  year =         {2008},
  volume =       {372},
  number =       {14},
  pages =        {2420-2},
  doi =          {10.1016/j.physleta.2007.12.005} 
}

preprint: HAR08_.pdf
This Physics Letters A article can be downloaded by following this link.


@Article{PAR07,
  author =       {S Phibanchon and M A Allen and G Rowlands},
  title =        {Weakly nonlinear waves in magnetized plasma with a slightly non-{Maxwellian} electron distribution. {Part}~2. {Stability} of cnoidal waves},
  journal =      JPP,
  year =         {2007},
  volume =       {73},
  number =       {6},
  pages =        {933-46}
}

preprint: PAR07_.pdf © Cambridge University Press
Journal of Plasma Physics webpage from which the article can also be downloaded is here.


@InProceedings{PA07-,
  author =       {Sarun Phibanchon and Michael A Allen},
  title =        {Time evolution of perturbed solitons of modified {Kadomtsev-Petviashvili} equations},
  booktitle =    {The 2007 International Conference on Computational Science and its Applications (ICCSA 2007)},
  year =         2007,
  pages =        {20-3},
  doi =          {10.1109/ICCSA.2007.77},
  publisher =    {IEEE Computer Society},
  address =      {Los Alamitos, CA, USA}
}


@Article{RA07,
  author =       {G Rowlands and M A Allen},
  title =        {Nonlinear magnetoacoustic waves in a cold plasma},
  journal =      JPP,
  year =         {2007},
  volume =       {73},
  number =       {4},
  pages =        {543-54}
}

preprint: RA07_.pdf © Cambridge University Press
Journal of Plasma Physics webpage from which the article can also be downloaded is here.


@Article{All07,
  author =       {Michael A Allen},
  title =        {Evaluation of Some Improper Integrals Involving Hyperbolic Functions},
  journal =      AMM,
  year =         {2007},
  volume =       {114},
  number =       {4},
  pages =        {341-3},
  month =        {April}
}

All07.pdf © The Mathematical Association of America
The JSTOR American Mathematical Monthly webpage from which the article can also be downloaded is here.


@Article{APR07,
  author =       {M A Allen and S Phibanchon and G Rowlands},
  title =        {Weakly nonlinear waves in magnetized plasma with a slightly non-{Maxwellian} electron distribution. {Part}~1. {Stability} of solitary waves},
  journal =      JPP,
  year =         {2007},
  volume =       {73},
  number =       {2},
  pages =        {215-29}
}

APR07.pdf © Cambridge University Press
Journal of Plasma Physics webpage from which the article can also be downloaded is here.


@Article{NAM06,
  author =       {Somprasong Naknaimueang and Michael A Allen and Stefan C M{\"u}ller},
  title =        {Spiral wave dynamics under feedback via an equilateral triangular sensory domain},
  journal =      PRE,
  year =         {2006},
  volume =       {74},
  number =       {6},
  pages =        {066209},
  doi =          {10.1103/PhysRevE.74.066209}
}

NAM06.pdf © The American Physical Society
Physical Review E webpage from which the article can also be downloaded is here.