Clustering, Communication and Environmental Oscillations in Populations of Budding Yeast, Chris Stowers, Brian Robertson, Hyunju Ban, Carl H. Johnson, Todd Young and Erik M. Boczko.

Nonlinear dynamics of mental processes: Emotion-cognition interaction, by V.~Afraimovich, T.~Young, M.K.~Muezzinoglu, M.~Rabinovich, submitted 3/09.

ODE, RDE and SDE Models of Cell Cycle Dynamics and Clustering in Yeast, Erik M. Boczko, Tomas Gedeon, Chris C. Stowers and Todd Young, to appear in the Journal of Biological Dynamics.

Higher Order Birkhoff Averages, with Thomas Jordan and Vincent Naudot, to appear in Dynamical Systems.

The Signed Distance Function: A New Tool for Binary Classification, with Erik Boczko.

Liao Standard Systems and Nonzero Lyapunov Exponents for Differential Flows, with Wenxiang Sun.

Topological entropies for equivalent smooth flows,
, with W.X.~Sun and Y.H.~Zhou, Transactions
of the American Mathematical Society **361** (2009), 3071-3082.

Convergence of Green Iterations for Schr\"{o}dinger Equations,
with M.J.~Mohlenkamp,
* Recent Advances in Computational Science*,
Jorgensen, P., Shen, X., Shu, C-W, and Yan, N., ed., World Scientific, 2008.

Jacobson's Theorem near saddle-node bifurcations, with Ale Jan Homburg,
* Discrete & Continuous Dyn. Systems* **17** (2007), 21-58.

Hard bifurcations in dynamical systems with bounded random perturbations,
with A.J. Homburg,
* Regular \& Chaotic Dynamics * **11** (2006), 247-258.

Binary Classification Based on Potential Functions,
with Erik~Boczko and Andrew DiLullo,
*Proc. Ohio Collaborative Conference on Bioinformatics*, 2006.

Comparison of binary classification based on signed distance functions
with support vector machines,
with E.~Boczko, D.~Wu and M.H.~Xie,
*Proc. Ohio Collaborative Conference on Bioinformatics*, 2006.

Critical saddle-node bifurcations and Morse-Smale maps,
with Brian Hunt,
*Physica D* **197** (2004), 1-17.

Asymptotic measures and distributions of Birkhoff averages
with respect to Lebesgue measure,
*Discrete and Continuous Dynamical Systems* **9** (2003), 359-378.

Intermittency in families of unimodal maps, with A.J. Homburg,
*Ergod. Th. Dyn. Systems* **22** (2002), 203-225.

Universal scaling in homoclinic doubling cascades, with A. J. Homburg,
*Commun. Math. Physics* **2** (2001) 2, 269-292.

Brikhoff averages and bifurcations, with Ale Jan Homburg,
in *Global Analysis of Dynamical Systems,
Festchrift dedicated to Floris Takens for his 60th birthday.*
Eds.\ H. Broer, B. Krauskopf, G. Vegter. IOP publishing, Bristol, U.K., 2001.

Observed rotation numbers in families of circle maps, with M. Saum,
*International J. Bifurcations and Chaos* **11** (2001), 73-90.

Entropy and rotation intervals for circle maps near
saddle-node bifurcations, *Math. Zeit.* **234** (2000), 487-506.

Multipliers of homoclinic orbits and characteristics of associated invariant sets, with V. Afraimovich,
*Discrete and Continuous Dynamical Systems* **6** (2000), 691-704.

Mather invariants and smooth conjugacy on $S^2$, with
V. Afraimovich, *J. Dynam. Control Systems* **6** (2000), 341-352.

Multipliers of heteroclinic orbits, with V. Afraimovich,
*Far East J. of Dyn. Systems* **2** (2000), 41-51.

From Morse-Smale to all knots and links, with R. Ghrist,
*Nonlinearity* **11** (1998), 1111-1126.

Relative density of irrational rotation numbers in families of
circle diffeomorphisms, with V. Afraimovich,
*Ergod. Th. Dyn. Systems* **18** (1998), 1-16.

$C^k$ conjugacy of 1-d diffeomorphisms with fixed points,
*Proc. AMS* **125** (1997), 1987-96.

Transition maps of homoclinic orbits and resonances near bifurcations
of circle maps,
in Hamiltonian Dynamics and Celestial Mechanics,
*Contemp. Math.* **198**, eds. D. Saari & Z. Xia, 1996.

Conventional multipliers for homoclinic orbits, with V. Afraimovich, W.-S. Liu,
*Nonlinearity* **9** (1996), 115-136.

$C^{k}$-smoothness of invariant curves in a global saddle-node
bifurcation,
*Journal of Differential Equations*** 126** (1996), 62-86.

A result in global bifurcation theory using the Conley index,
*Discrete and Continuous Dynamical Systems* **2** (1996), 387-396.

Partially hyperbolic sets from a co-dimension one bifurcation,
*Discrete and Continuous Dynamical Systems* **1** (1995), 253-275.

One-step discretizations of differential equations: transversality,
and nonlocal bifurcations,
*Dynamic Systems and Applications*** 4** (1995), 237-249.

Generalization of a theorem of Malta and Palis,
with V. Afraimovich, in * Dynamical Systems and Applications, WSSIAA* **4** 1995, 11-25.