Publications of Joshua E. S. Socolar :chronological combined listing:
%% Papers Published
@article{fds159419,
Author = {J. Norrell and J.E.S. Socolar},
Title = {Boolean modeling of collective effects in complex
networks},
Journal = {Physical Review E},
Volume = {79},
Pages = {061908},
Year = {2009},
url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000079000006061908000001&idtype=cvips&gifs=yes},
Abstract = {Complex systems are often modeled as Boolean networks in
attempts to capture their logical structure and reveal its
dynamical consequences. Approximating the dynamics of
continuous variables by discrete values and Boolean logic
gates may, however, introduce dynamical possibilities that
are not accessible to the original system. We show that
large random networks of variables coupled through
continuous transfer functions often fail to exhibit the
complex dynamics of corresponding Boolean models in the
disordered (chaotic) regime, even when each individual
function appears to be a good candidate for Boolean
idealization. A suitably modified Boolean theory explains
the behavior of systems in which information does not
propagate faithfully down certain chains of nodes. Model
networks incorporating calculated or directly measured
transfer functions reported in the literature on
transcriptional regulation of genes are described by the
modified theory.},
Key = {fds159419}
}
@article{fds145241,
Author = {D.A. Orlando and C.Y. Lin and A. Bernard and J.Y. Wang and J.E.S.
Socolar, E.S. Iversen and A.J. Hartemink and S.B.
Haase},
Title = {Global control of cell-cycle transcription by coupled CDK
and network oscillators},
Journal = {Nature},
Year = {2008},
Month = {May},
url = {http://www.nature.com/nature/journal/v453/n7197/full/nature06955.html},
Key = {fds145241}
}
@article{fds139575,
Author = {A.S. Ribeiro and S.A. Kauffman and J. Lloyd-Price and B. Samuelsson and J.E.S. Socolar},
Title = {Mutual information in random Boolean models of regulatory
networks},
Journal = {Physical Review E},
Volume = {77},
Pages = {011901},
Year = {2008},
url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000077000001011901000001&idtype=cvips&gifs=yes},
Abstract = {The amount of mutual information contained in time series of
two elements gives a measure of how well their activities
are coordinated. In a large, complex network of interacting
elements, such as a genetic regulatory network within a
cell, the average of the mutual information over all pairs
<I> is a global measure of how well the system can
coordinate its internal dynamics. We study this average
pairwise mutual information in random Boolean networks
(RBNs) as a function of the distribution of Boolean rules
implemented at each element, assuming that the links in the
network are randomly placed. Efficient numerical methods for
calculating <I> show that as the number of network nodes N
approaches infinity, the quantity N<I> exhibits a
discontinuity at parameter values corresponding to critical
RBNs. For finite systems it peaks near the critical value,
but slightly in the disordered regime for typical parameter
variations. The source of high values of N<I> is the
indirect correlations between pairs of elements from
different long chains with a common starting point. The
contribution from pairs that are directly linked approaches
zero for critical networks and peaks deep in the disordered
regime.},
Key = {fds139575}
}
@article{fds145906,
Author = {B.P. Tighe and J.E.S. Socolar},
Title = {Nonlinear elastic stress response in granular
packings},
Journal = {Physical Review E},
Volume = {77},
Pages = {031303},
Year = {2008},
url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000077000003031303000001&idtype=cvips&gifs=yes},
Abstract = {We study the nonlinear elastic response of a two-dimensional
material to a localized boundary force, with the particular
goal of understanding the differences observed between
isotropic granular materials and those with hexagonal
anisotropy. Corrections to the classical Boussinesq result
for the stresses in an infinite half space of a linear,
isotropic material are developed in a power series in
inverse distance from the point of application of the force.
The breakdown of continuum theory on scales of order of the
grain size is modeled with phenomenological parameters
characterizing the strengths of induced multipoles near the
point of application of the external force. We find that the
data of Geng et al. [Phys. Rev. Lett. 87, 035506 (2001)] on
isotropic and hexagonal packings of photoelastic grains can
be fitted within this framework. Fitting the hexagonal
packings requires a choice of elastic coefficients with
hexagonal anisotropy stronger than that of a simple
ball-and-spring model. For both the isotropic and hexagonal
cases, induced dipole and quadrupole terms produce
propagation of stresses away from the vertical direction
over short distances. The scale over which such propagation
occurs is significantly enhanced by the nonlinearities that
generate hexagonal anisotropy.},
Key = {fds145906}
}
@article{fds139607,
Author = {A. Shreim and P. Grassberger and W. Nadler and B. Samuelsson and J.E.S.
Socolar and M. Paczuski},
Title = {Network Analysis of the State Space of Discrete Dynamical
Systems},
Journal = {Physical Review Letters},
Volume = {98},
Pages = {198701},
Year = {2007},
url = {http://link.aps.org/abstract/PRL/v98/e198701},
Abstract = {We study networks representing the dynamics of elementary 1D
cellular automata (CA) on finite lattices. We analyze
scaling behaviors of both local and global network
properties as a function of system size. The scaling of the
largest node in-degree is obtained analytically for a
variety of CA including rules 22, 54, and 110. We further
define the path diversity as a global network measure. The
coappearance of nontrivial scaling in both the hub size and
the path diversity separates simple dynamics from the more
complex behaviors typically found in Wolfram's class IV and
some class III CA.},
Key = {fds139607}
}
@article{fds71618,
Author = {J. Norrell and B. Samuelsson and J.E.S. Socolar},
Title = {Attractors in continuous and Boolean networks},
Journal = {Physical Review E},
Volume = {76},
Pages = {046122},
Year = {2007},
url = {http://link.aps.org/abstract/PRE/v76/e046122},
Abstract = {We study the stable attractors of a class of continuous
dynamical systems that may be idealized as networks of
Boolean elements, with the goal of determining which Boolean
attractors, if any, are good approximations of the
attractors of generic continuous systems. We investigate the
dynamics in simple rings and rings with one additional
self-input. An analysis of switching characteristics and
pulse propagation explains the relation between attractors
of the continuous systems and their Boolean approximations.
For simple rings, “reliable” Boolean attractors
correspond to stable continuous attractors. For networks
with more complex logic, the qualitative features of
continuous attractors are influenced by inherently
non-Boolean characteristics of switching
events.},
Key = {fds71618}
}
@article{fds71617,
Author = {C.M. Berger and J.W. Cain and J.E.S. Socolar and D.J.
Gauthier},
Title = {Control of electrical alternans in simulations of paced
myocardium using extended time-delay autosynchronization},
Journal = {Physical Review E},
Volume = {76},
Pages = {041917},
Year = {2007},
url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000076000004041917000001&idtype=cvips&gifs=yes},
Abstract = {Experimental studies have linked alternans, an abnormal
beat-to-beat alternation of cardiac action potential
duration, to the genesis of lethal arrhythmias such as
ventricular fibrillation. Prior studies have considered
various closed-loop feedback control algorithms for
perturbing interstimulus intervals in such a way that
alternans is suppressed. However, some experimental cases
are restricted in that the controller's stimuli must preempt
those of the existing waves that are propagating in the
tissue, and therefore only shortening perturbations to the
underlying pacing are allowed. We present results
demonstrating that a technique known as extended time-delay
autosynchronization (ETDAS) can effectively control
alternans locally while operating within the above
constraints. We show that ETDAS, which has already been used
to control chaos in physical systems, has numerous
advantages over previously proposed alternans control
schemes.},
Key = {fds71617}
}
@inbook{fds70496,
Author = {J.E.S. Socolar},
Title = {Time-delay control for discrete maps},
Booktitle = {Handbook of Chaos Control},
Publisher = {Wiley-VCH Verlag GmbH},
Editor = {E. Scholl},
Year = {2007},
Abstract = {a pedagogical introduction to discrete time-delayed feedback
methods. It is neither a comprehensive review, nor a
presentation of dramatic new results. It does, on the other
hand, organize known results in a self-contained manner that
emphasizes the conceptual points that have proven to be
important, where much of the original literature focuses on
historically important points and rigorous mathematical
proofs. The present work also contains examples and one
generalization that have not appeared elsewhere.},
Key = {fds70496}
}
@article{fds70499,
Author = {J.E.S. Socolar},
Title = {The hexagonal parquet tiling: k-isohedral monotiles with
arbitrarily large k},
Journal = {Mathematical Intelligencer},
Volume = {29},
Pages = {33-38},
Year = {2007},
url = {http://www.phy.duke.edu/~socolar/hexparquet.pdf},
Abstract = {The interplay between local constraints and global structure
of mathematical and physical systems is both subtle and
important. This paper shows how to construct a single tile
that can fill the Euclidean plane only with a tiling that
contains k distinct isohedral sets of tiles, where k can be
made arbitrarily large. It is shown that the construction
cannot work for a simply connected 2D tile with matching
rules for adjacent tiles enforced by shape alone. It is also
shown that any of the following modifications allows the
construction to work: (1) coloring the edges of the tiling
and imposing rules on which colors can touch; (2) allowing
the tile to be multiply connected; (3) requiring maximum
density rather than space-filling; (4) allowing the tile to
have a thickness in the third dimension.},
Key = {fds70499}
}
@inbook{fds26115,
Author = {J.E.S. Socolar},
Title = {Nonlinear Dynamical Systems},
Booktitle = {Complex Systems Science and Biomedicine},
Publisher = {Kluwer},
Editor = {Deisboeck and Kresh},
Year = {2006},
Month = {February},
Key = {fds26115}
}
@article{fds51529,
Author = {B. Samuelsson and J.E.S. Socolar},
Title = {Exhaustive percolation on random networks},
Journal = {Physical Review E},
Volume = {74},
Pages = {031912},
Year = {2006},
url = {http://link.aps.org/abstract/PRE/v74/e036113},
Abstract = {We consider propagation models that describe the spreading
of an attribute, called ``damage'', through the nodes of a
random network. In some systems, the average fraction of
nodes that remain undamaged vanishes in the large system
limit, a phenomenon we refer to as {\it exhaustive
percolation}. We derive scaling law exponents and exact
results for the distribution of the number of undamaged
nodes, valid for a broad class of random networks at the
exhaustive percolation transition and in the exhaustive
percolation regime. This class includes processes that
determine the set of frozen nodes in random Boolean networks
with indegree distributions that decay sufficiently rapidly
with the number of inputs. Connections between our
calculational methods and previous studies of percolation
beginning from a single initial node are also pointed out.
Central to our approach is the observation that key aspects
of damage spreading on a random network are fully
characterized by a single function specifying the
probability that a given node will be damaged as a function
of the fraction of damaged nodes. In addition to our
analytical investigations of random networks, we present a
numerical example of exhaustive percolation on a directed
lattice.},
Key = {fds51529}
}
@article{fds70497,
Author = {D. V. Foster and S. A. Kauffman and J. E. S.
Socolar},
Title = {Network growth models and genetic regulatory
networks},
Journal = {Physical Review E},
Volume = {73},
Pages = {031912},
Year = {2006},
url = {http://link.aps.org/abstract/PRE/v73/e031912},
Abstract = {We study a class of growth algorithms for directed graphs
that are candidate models for the evolution of genetic
regulatory networks. The algorithms involve partial
duplication of nodes and their links, together with the
innovation of new links, allowing for the possibility that
input and output links from a newly created node may have
different probabilities of survival. We find some
counterintuitive trends as the parameters are varied,
including the broadening of the in-degree distribution when
the probability for retaining input links is decreased. We
also find that both the scaling of transcription factors
with genome size and the measured degree distributions for
genes in yeast can be reproduced by the growth algorithm if
and only if a special seed is used to initiate the
process.},
Key = {fds70497}
}
@article{fds43709,
Author = {B.P. Tighe and J.E.S. Socolar and D.G. Schaeffer and W.G. Mitchener and M.L. Huber},
Title = {Force distributions in a triangular lattice of rigid
bars},
Journal = {Phys. Rev. E},
Volume = {72},
Pages = {031306},
Year = {2005},
Abstract = {We study the uniformly weighted ensemble of force balanced
configurations on a triangular network of nontensile contact
forces. For periodic boundary conditions corresponding to
isotropic compressive stress, we find that the probability
distribution for single-contact forces decays faster than
exponentially. This super-exponential decay persists in
lattices diluted to the rigidity percolation threshold. On
the other hand, for anisotropic imposed stresses, a broader
tail emerges in the force distribution, becoming a pure
exponential in the limit of infinite lattice size and
infinitely strong anisotropy.},
Key = {fds43709}
}
@article{fds43710,
Author = {S. Dealy and S.A. Kauffman and J.E.S. Socolar},
Title = {Modeling pathways of differentiation in genetic regulatory
networks with Boolean networks},
Journal = {Complexity},
Volume = {11},
Number = {1},
Pages = {52-60},
Year = {2005},
Abstract = {We have carried out the first examination of pathways of
cell differentiation in model genetic networks in which cell
types are assumed to be attractors of the nonlinear
dynamics, and differentiation corresponds to a transition of
the cell to a new basin of attraction, which may be induced
by a signal or noise perturbation. The associated flow along
a transient to a new attractor corresponds to a pathway of
differentiation. We have measured a variety of features of
such model pathways of differentiation, most of which should
be observable using gene array techniques.},
Key = {fds43710}
}
@article{fds26116,
Author = {I. Harrington and J.E.S Socolar},
Title = {Design and robustness of delayed feedback controllers for
discrete systems},
Journal = {Phys. Rev. E},
Volume = {69},
Pages = {56207},
Year = {2004},
Key = {fds26116}
}
@article{fds16929,
Author = {J.E.S. Socolar},
Title = {Discrete models of force chain networks},
Journal = {Discrete and Continuous Dynamical Systems},
Volume = {3},
Pages = {601-18},
Year = {2003},
Month = {November},
url = {http://xxx.lanl.gov/abs/cond-mat/0212162},
Key = {fds16929}
}
@article{fds6824,
Author = {M. Otto and J.-P. Bouchaud and P. Claudin and J.E.S.
Socolar},
Title = {Anisotropy in granular media: classical elasticity and
directed force chain network},
Journal = {Phys. Rev. E},
Volume = {67},
Number = {3},
Pages = {031302},
Year = {2003},
Month = {March},
url = {http://xxx.lanl.gov/abs/cond-mat/0211015},
Key = {fds6824}
}
@article{fds16928,
Author = {P. Hoevel and J.E.S. Socolar},
Title = {Stability domains for time-delay feedback control with
latency},
Journal = {Physical Review E},
Volume = {68},
Pages = {036206},
Year = {2003},
Month = {March},
url = {http://xxx.lanl.gov/abs/nlin.CD/0302033},
Key = {fds16928}
}
@article{fds5703,
Author = {J.E.S. Socolar and S.A. Kauffman},
Title = {Scaling in ordered and critical random Boolean
networks},
Journal = {Physical Review Letters},
Volume = {90},
Pages = {068702},
Year = {2003},
Month = {February},
url = {http://xxx.lanl.gov/abs/cond-mat/0212306},
Key = {fds5703}
}
@article{fds3750,
Author = {J.E.S. Socolar and P. Claudin and D.G. Schaeffer},
Title = {Directed force chain models and stress response in static
granular materials},
Journal = {European Physics Journal},
Volume = {7},
Pages = {353-70},
Year = {2002},
Month = {December},
url = {http://xxx.lanl.gov/abs/cond-mat/0201242},
Key = {fds3750}
}
@article{fds3752,
Author = {O. Beck and A. Amann and E. Schoell and J.E.S.
Socolar},
Title = {`Comparison of time-delayed feedback schemes for
spatio-temporal control of chaos},
Journal = {Phys. Rev. E},
Volume = {66},
Pages = {016213},
Year = {2002},
Month = {December},
Key = {fds3752}
}
@article{fds3758,
Author = {J.E.S Socolar},
Title = {Chaos},
Series = {3rd Edition},
Booktitle = {Encyclopedia of Physical Science and Technology},
Publisher = {Academic Press},
Editor = {R. Meyers},
Year = {2001},
Key = {fds3758}
}
@article{fds3757,
Author = {I. Harrington and J.E.S. Socolar},
Title = {Limitation on stabilizing plane waves via time-delay
feedback},
Journal = {Phys. Rev. E},
Volume = {64},
Pages = {056206},
Year = {2001},
Key = {fds3757}
}
@article{fds3760,
Author = {J.E.S. Socolar and S. Richards and W. Wilson},
Title = {Evolution in a spatially structured population subject to
rare epidemics},
Journal = {Phys. Rev. E},
Volume = {63},
Pages = {041908},
Year = {2001},
Key = {fds3760}
}
@article{fds3761,
Author = {M. Bleich and J.E.S. Socolar},
Title = {Delay feedback control of a paced excitable
oscillator},
Journal = {International Journal of Bifurcations and
Chaos},
Volume = {10},
Pages = {603},
Year = {2000},
Key = {fds3761}
}
@article{fds3764,
Author = {M. Sexton and J.E.S. Socolar and D.G. Schaeffer},
Title = {Force distribution in a scalar model for noncohesive
granular material},
Journal = {Phys. Rev. E},
Volume = {60},
Pages = {1999},
Year = {1999},
Month = {January},
url = {http://xxx.lanl.gov/abs/cond-mat/9810392},
Key = {fds3764}
}
@article{fds3763,
Author = {S. Richards and W. Wilson and J.E.S. Socolar},
Title = {Selection for intermediate mortality and reproduction rates
in a spatially structured population},
Journal = {Proceedings of the Royal Society of London
B},
Volume = {266},
Year = {1999},
Key = {fds3763}
}
@article{fds3765,
Author = {J.E.S. Socolar and D.J. Gauthier},
Title = {Analysis and comparison of multiple-delay schemes for
controlling unstable fixed points of discrete
maps},
Journal = {Phys. Rev. E},
Volume = {57},
Pages = {6589},
Year = {1998},
Key = {fds3765}
}
@article{fds3766,
Author = {D.A. Egolf and J.E.S. Socolar},
Title = {Failure of linear control in noisy coupled map
lattices},
Journal = {Phys. Rev. E},
Volume = {57},
Pages = {5271},
Year = {1998},
Key = {fds3766}
}
@article{fds3767,
Author = {J.E.S. Socolar},
Title = {Average stresses and force fluctuations in noncohesive
granular materials},
Journal = {Phys. Rev. E},
Volume = {57},
Pages = {3204},
Year = {1998},
url = {http://xxx.lanl.gov/abs/cond-mat/9710089},
Key = {fds3767}
}
@article{fds3768,
Author = {D.J. Gauthier and J.E.S Socolar},
Title = {Comment on Dynamic Control of Cardiac Alternans},
Journal = {Physical Review Letters},
Volume = {79},
Pages = {4938},
Year = {1997},
Key = {fds3768}
}
@article{fds37528,
Author = {M.E. Bleich and D. Hochheiser and J.V. Moloney and J.E.S.
Socolar},
Title = {Controlling extended systems with spatially filtered,
time-delayed feedback},
Journal = {Phys. Rev. E},
Volume = {55},
Pages = {2119},
Year = {1997},
Key = {fds37528}
}
@article{fds37527,
Author = {D.W. Sukow and M.E. Bleich and D.J. Gauthier and J.E.S.
Socolar},
Title = {Controlling chaos in a fast diode resonator using extended
time-delay autosynchronization: experimental observations
and theoretical analysis},
Journal = {Chaos},
Volume = {7},
Pages = {560},
Year = {1997},
Key = {fds37527}
}
@article{fds37529,
Author = {M.E. Bleich and J.E.S. Socolar},
Title = {Controlling spatiotemporal dynamics with time-delay
feedback},
Journal = {Phys. Rev. E},
Volume = {54},
Pages = {R17},
Year = {1996},
Key = {fds37529}
}
@article{fds37530,
Author = {M.E. Bleich and J.E.S. Socolar},
Title = {Stability of Periodic Orbits Controlled by Time-delay
Feedback},
Journal = {Phys. Lett. A},
Volume = {210},
Pages = {87},
Year = {1995},
Key = {fds37530}
}
@article{fds37531,
Author = {J.E.S. Socolar and D.W. Sukow and D.J. Gauthier},
Title = {Stabilizing Unstable Periodic Orbits in Fast Dynamical
Systems},
Journal = {Phys. Rev. E},
Volume = {50},
Pages = {3245},
Year = {1994},
Key = {fds37531}
}
@article{fds37532,
Author = {D.J. Gauthier and D.W. Sukow and H.M. Concannon and J.E.S.
Socolar},
Title = {Stabilizing Unstable Periodic Orbits in a Fast Diode
Resonator Using Continuous Time-delay Auto-synchronization},
Journal = {Phys. Rev. E},
Volume = {50},
Pages = {2343},
Year = {1994},
Key = {fds37532}
}
@article{fds37533,
Author = {G. Grinstein and C. Jayaprakash and J.E.S. Socolar},
Title = {Scale Invariance of Nonconserved Quantities in Driven
Systems},
Journal = {Phys. Rev. E},
Volume = {48},
Pages = {R643},
Year = {1993},
Key = {fds37533}
}
@article{fds37534,
Author = {J.E.S. Socolar and G. Grinstein and C. Jayaprakash},
Title = {On Self-organized Criticality in Nonconserving
Systems},
Journal = {Phys. Rev. E},
Volume = {47},
Pages = {2366},
Year = {1993},
Key = {fds37534}
}
@article{fds37535,
Author = {J. Krug and J.E.S. Socolar and G. Grinstein},
Title = {Surface Fluctuations and Criticality in a Class of 1D
Sandpile Models},
Journal = {Phys. Rev. A (RC)},
Volume = {46},
Pages = {4479},
Year = {1992},
Key = {fds37535}
}
@article{fds37536,
Author = {J. Krug and J.E.S. Socolar},
Title = {Comment on "Scalings of Growing Self-Organized
Surfaces"},
Journal = {Phys. Rev. Lett.},
Volume = {68},
Pages = {722},
Year = {1992},
Key = {fds37536}
}
@article{fds37537,
Author = {J.E.S. Socolar},
Title = {Theory of Packings of Identical Hard Disks Generated by
Ballistic Deposition},
Journal = {Europhys. Lett.},
Volume = {18},
Pages = {39},
Year = {1992},
Key = {fds37537}
}
@article{fds37538,
Author = {J.E.S. Socolar},
Title = {Growth Rules for Quasicrystals},
Booktitle = {Quasicrystals: The State of the Art},
Publisher = {World Scientific, Singapore},
Editor = {D. DiVincenzo and P. Steinhardt},
Year = {1991},
Key = {fds37538}
}
@article{fds37539,
Author = {J.E.S. Socolar},
Title = {The Alternation Condition and 2D Quasicrystals},
Volume = {93},
Series = {Springer Series in Solid-State Sciences},
Booktitle = {Quasicrystals},
Publisher = {Springer-Verlag, Berlin},
Editor = {T. Fujiwara and T. Ogawa},
Year = {1990},
Key = {fds37539}
}
@article{fds37540,
Author = {J.E.S. Socolar},
Title = {Weak Matching Rules for Quasicrystals},
Journal = {Communications in Mathematical Physics},
Volume = {129},
Pages = {599-619},
Year = {1990},
Key = {fds37540}
}
@article{fds37541,
Author = {J.E.S. Socolar},
Title = {Locality Constraints and 2D Quasicrystals},
Booktitle = {Quasicrystals - Adriatico Anniversary Research
Conference},
Publisher = {World Scientific, Singapore},
Editor = {M.V. Jaric and S. Lundqvist},
Year = {1989},
Key = {fds37541}
}
@article{fds37542,
Author = {J.E.S. Socolar},
Title = {Simple Octagonal and Dodecagonal Quasicrystals},
Journal = {Phys. Rev. B},
Volume = {39},
Pages = {10519-51},
Year = {1989},
Key = {fds37542}
}
@article{fds37543,
Author = {G.Y. Onoda and P.J. Steinhardt and D.P. DiVincenzo and J.E.S.
Socolar},
Title = {Reply to Comment on PRL},
Journal = {Phys. Rev. Lett.},
Volume = {62},
Pages = {1210},
Year = {1989},
Key = {fds37543}
}
@article{fds37544,
Author = {G.Y. Onoda and P.J. Steinhardt and D.P. DiVincenzo and J.E.S.
Socolar},
Title = {Growing Perfect Quasicrystals},
Journal = {Phys. Rev. Lett.},
Volume = {60},
Pages = {2653-56},
Year = {1988},
Key = {fds37544}
}
@article{fds37545,
Author = {J.E.S. Socolar and D.C. Wright},
Title = {Explanation of Peak Shapes Observed in Diffraction from
Icosahedral Quasicrystals},
Journal = {Phys. Rev. Lett.},
Volume = {59},
Pages = {221-224},
Year = {1987},
Key = {fds37545}
}
@article{fds37546,
Author = {J.E.S. Socolar},
Title = {Phason Strain in Quasicrystals},
Journal = {Journal de Physique},
Volume = {C3},
Pages = {217-27},
Year = {1986},
Key = {fds37546}
}
@article{fds37547,
Author = {T.C. Lubensky and J.E.S. Socolar and P.J. Steinhardt and P.A. Bancel and P.A. Heiney},
Title = {Distortion and Peak Broadening in Quasicrystal Diffraction
Patterns},
Journal = {Phys. Rev. Lett.},
Volume = {57},
Pages = {1440-43},
Year = {1986},
Key = {fds37547}
}
@article{fds37548,
Author = {J.E.S. Socolar and T.C. Lubensky and P.J. Steinhardt},
Title = {Phonons, Phasons and Dislocations in Quasicrystals},
Journal = {Phys. Rev. B},
Volume = {34},
Pages = {3345-60},
Year = {1986},
Key = {fds37548}
}
@article{fds37550,
Author = {J.E.S. Socolar and P.J. Steinhardt},
Title = {Quasicrystals II: Unit Cell Structures},
Journal = {Phys. Rev. B},
Volume = {34},
Pages = {617-47},
Year = {1986},
Key = {fds37550}
}
@article{fds37551,
Author = {J.E.S. Socolar and P.J. Steinhardt and D. Levine},
Title = {Quasicrystals with Arbitrary Orientational
Symmetry},
Journal = {Phys. Rev. B},
Volume = {32},
Series = {Rapid Communication},
Pages = {5547-50},
Year = {1985},
Key = {fds37551}
}
@article{fds37552,
Author = {E.J. Mele and J. Socolar},
Title = {Numerical Integration of the Time Evolution Operator:
Excited-State Dynamics in Conjugated Molecules},
Journal = {International Journal of Quantum Chemistry},
Volume = {18},
Series = {Quantum Chemistry Symposium},
Pages = {347-58},
Year = {1984},
Key = {fds37552}
}
@booklet{Gollub80,
Author = {J.P. Gollub and E.J. Romer and J.E. Socolar},
Title = {Trajectory Divergence for Coupled Relaxation Oscillators:
Measurements and Models},
Journal = {Journal of Statistical Physics},
Volume = {23},
Number = {3},
Pages = {321-333},
Year = {1980},
Key = {Gollub80}
}
%% Papers Submitted
@article{fds152776,
Author = {J. Norrell and J.E.S. Socolar},
Title = {Boolean modeling of collective effects in complex
networks},
Journal = {Arxiv preprint},
Year = {2008},
Month = {November},
url = {http://arxiv.org/abs/0811.2209},
Abstract = {Complex systems are often modeled as Boolean networks in
attempts to capture their logical structure and reveal its
dynamical consequences. Approximating the dynamics of
continuous variables by discrete values and Boolean logic
gates may, however, introduce dynamical possibilities that
are not accessible to the original system. We show that
large random networks of variables coupled through
continuous transfer functions often fail to exhibit the
complex dynamics of corresponding Boolean models in the
disordered (chaotic) regime, even when each individual
function appears to be a good candidate for Boolean
idealization. A simple criterion identifies continuous
systems that exhibit the full dynamical range of their
Boolean counterparts. Transfer functions inferred from the
literature on transcriptional regulation of genes do not
satisfy the criterion.},
Key = {fds152776}
}