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- Pamela A. Raymond, Steven M. Colvin, +6 authors David K. Lubensky
- PloS one
- 2014

Cone photoreceptors in teleost fish are organized in precise, crystalline arrays in the epithelial plane of the retina. In zebrafish, four distinct morphological/spectral cone types occupy specific, invariant positions within a regular lattice. The cone lattice is aligned orthogonal and parallel to circumference of the retinal hemisphere: it emerges as… (More)

- I. Husain, Morgan A. Hanson, Z. Jabeen
- European Journal of Operational Research
- 2005

- Zahera Jabeen, Neelima Gupte
- Physical review. E, Statistical, nonlinear, and…
- 2006

We study spatiotemporal intermittency (STI) in a system of coupled sine circle maps. The phase diagram of the system shows parameter regimes with STI of both the directed percolation (DP) and non-DP class. STI with synchronized laminar behavior belongs to the DP class. The regimes of non-DP behavior show spatial intermittency (SI), where the temporal… (More)

— We study the phase diagram of the sine circle map lattice with random initial conditions and identify the various types of dynamical behaviour which appear here. We focus on the regions which show spatio-temporal intermittency and characterise the accompanying scaling behaviour. Directed percolation exponents are seen at some points in the parameter space… (More)

- Michael Giver, Zahera Jabeen, Bulbul Chakraborty
- Physical review. E, Statistical, nonlinear, and…
- 2011

Recent experiments in one- and two-dimensional microfluidic arrays of droplets containing Belousov-Zhabotinsky reactants show a rich variety of spatial patterns [M. Toiya et al., J. Phys. Chem. Lett. 1, 1241 (2010)]. The dominant coupling between these droplets is inhibitory. Motivated by this experimental system, we study repulsively coupled Kuramoto… (More)

Fritz John, and Karush-Kuhn-Tucker type optimality conditions for a constrained variational problem invoving higher order derivatives are obtained. As an application of these Karush-Kuhn-Tucker type optimality conditions, Wolfe and Mond-Weir type duals are formulated, and various duality relationships between the primal problem and each of the duals are… (More)

- I. Husain, Norma G. Rueda, Z. Jabeen
- Appl. Math. Lett.
- 2001

A second-order dual to a nonlinear programming problem is formulated. This dual uses the Ritz John necessary optimality conditions instead of the Karush-Kuhn-Tucker necessary optimal&y conditions, and thus, does not require a constraint qualification. Weak, strong, strict-converse, and converse duality theorems between primal and dual problems are… (More)

- Zahera Jabeen, Neelima Gupte
- Physical review. E, Statistical, nonlinear, and…
- 2005

We study spatiotemporal intermittency (STI) in a system of coupled sine circle maps. The phase diagram of the system shows parameter regimes where the STI lies in the directed percolation (DP) class, as well as regimes which show pure spatial intermittency (where the temporal behavior is regular) which do not belong to the DP class. Thus both DP and non-DP… (More)

- I. Husain, Bilal Ahmad, Z. Jabeen
- 2012

In this paper two types of duals are considered for a class of variational problems involving higher order derivatives. The duality results are derived without any use of optimality conditions. One set of results is based on Mond-Weir type dual that has the same objective functional as the primal problem but different constraints. The second set of results… (More)