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Papers in regular journals and preprints
- Democratization in a passive dendritic tree: an analytical
investigation Submitted (2007).
- Learning by structural remodeling in a classof single cell models Submitted (2007).
- Analysis of a Renormalization
Group Method for Solving Perturbed Ordinary Differential Equations Submitted (2007).
- Unstable Solutions of Non-autonomous Linear Differential Equations To appear in SIAM Review (2007).
- Correlation between neural spike trains increases with
firing rate To appear in Nature (2007).
- Universal properties of correlation
transfer in integrate-and-fire neurons. preprint (2007).
- Branching Dendrites with Resonant Membrane: A sum-over-trips approach. To appear in Biological Cybernetics (2007).
- Non-uniform decay of predictability and
return of skill in stochastic oscillatory models To appear in Physica D (2006).
- Is there a nucleotide composition constraint on genome sequences? To appear in Computational Biology and Chemistry (2006).
- Network structure and spatiotemporally symmetric
dynamics Physica
D 224(1-2), 52-68 (2006)
- Neuronal firing in the presence of stochastic
trains of strong synaptic inputs Neural Computation 19, 1251-1294 (2007).
- Toward blueprints for network architecture, biophysical dynamics, and signal transduction Proceedings of the Royal Society
A 364, 3301-3318 (2006).
- A mathematical model of cancer radiovirotherapy Mathematical Biosciences, vol. 199, issue 1, pp. 55-78 (2006)
(Epublished Dec 22, 2005).
- Rotation Sets for Networks of Circle Maps Chaos, vol. 16, issue 1, p. 015115 (2006).
- Winding Numbers and Average Frequencies in Phase Oscillator Networks Journal of Nonlinear Science, vol. 16, issue 4, pp. 201-231, (2006).
- Deriving information about architecture from activity patterns in
coupled cell systems SIAM Journal of Applied Dynamical Systems, vol. 4, p. 53-77, (2005).
- Applications of Asymptotic Normal Form Theory and its Connections with the Renormalization Group Method preprint (2004).
- Synchronization in Networks of General Weakly Non-Linear Oscillators Journal of Physics A, vol. 39, p. 11801-11817 (2004).
- Irrational Phase Synchronization Physical Review E, vol. 69, number 056228 (2004).
- The Structure of Synchronization Sets for Noninvertible Systems Chaos, vol. 14:2, pp. 249-262 (2004).
- Singular perturbations of quadratic maps International Journal of Bifurcations and Chaos, vol. 14:1, pp. 161-171 (2004).
- Playing catchup with iterated exponentials American Mathematical Monthly, 111:8, pp. 704-709, October, 2004.
- The geometry of chaos synchronization Chaos, vol 13:1 pp. 151-164 (2003).
- A geometric theory of chaotic phase synchronization Chaos, vol 13:1 pp. 247-258 (2003).
- Limits to the Experimental Detection of Nonlinear Synchrony Physical Review E, 65, article 046225 (2002).
- Phase Synchronization of Chaotic Systems with Small Phase Diffusion Physical Review E, 64, article 056234 (2001).
- Accessible Points of Julia Sets of Stable
Exponentials Discrete and Continuous Dynamical Systems B, 1:3, p. 299-318 (2001).
- Phase Synchronization of Chaotic Systems unpublished (2001).
- The Mathematics of Musical Instruments American Mathematical Monthly, 108:4, p. 347-357 (2001).
- Planetary Motion and the Duality of Force Laws SIAM Review, 42:1, p. 114-125 (2000).
- Dynamics of a Diffusively Coupled Ring of Lorenz Oscillators Journal of Statistical Physics, 98:1, p. 1-30 (2000).
- Synchronization of Chaotic Systems and Invariant Manifolds Nonlinearity, 13:4, pp. 1321-1336 (2000).
- Invariant Manifolds and Synchronization of Coupled Dynamical Systems Physical Review Letters, 80:14, pp. 3053-3056 (1998).
- Local Bifurcations in the Symmetric Model of Selection with Fertility Differences Journal of Theoretical Biology, 189, pp. 291-295 (1997).
- My Complete Thesis
Book chapters and encyclopedia entries
Refereed entries are marked with a star (*).
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