Jared C Bronski

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Research Output

  • 50 Article
  • 1 Other chapter contribution
  • 1 Conference article
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2020

A Matrix-Valued Kuramoto Model

Bronski, J. C., Carty, T. E. & Simpson, S. E., Jan 1 2020, In : Journal of Statistical Physics. 178, 2, p. 595-624 30 p.

Research output: Contribution to journalArticle

2019

Applications of a class of Herglotz operator pencils

Barreiro, A. K., Bronski, J. C. & Rapti, Z., Jan 1 2019, In : SIAM Journal on Mathematical Analysis. 51, 1, p. 256-275 20 p.

Research output: Contribution to journalArticle

2018

Configurational stability for the Kuramoto-Sakaguchi model

Bronski, J. C., Carty, T. & Deville, L., Oct 1 2018, In : Chaos. 28, 10, 103109.

Research output: Contribution to journalArticle

Emergence of balance from a model of social dynamics

Agbanusi, I. & Bronski, J. C., Jan 1 2018, In : SIAM Journal on Applied Mathematics. 78, 1, p. 193-225 33 p.

Research output: Contribution to journalArticle

Stable configurations in social networks

Bronski, J. C., Deville, L., Ferguson, T. & Livesay, M., Apr 25 2018, In : Nonlinearity. 31, 6, p. 2518-2531 14 p.

Research output: Contribution to journalArticle

Volume bounds for the phase-locking region in the kuramoto model

Bronski, J. C. & Ferguson, T., Jan 1 2018, In : SIAM Journal on Applied Dynamical Systems. 17, 1, p. 128-156 29 p.

Research output: Contribution to journalArticle

2017

A geometric method for eigenvalue problems with low-rank perturbations

Anastasio, T. J., Barreiro, A. K. & Bronski, J. C., Sep 27 2017, In : Royal Society Open Science. 4, 9, 170390.

Research output: Contribution to journalArticle

The stability of fixed points for a Kuramoto model with Hebbian interactions

Bronski, J. C., He, Y., Li, X., Liu, Y., Sponseller, D. R. & Wolbert, S., May 1 2017, In : Chaos. 27, 5, 053110.

Research output: Contribution to journalArticle

2016

Graph homology and stability of coupled oscillator networks

Bronski, J. C., Deville, L. & Ferguson, T., Jan 1 2016, In : SIAM Journal on Applied Mathematics. 76, 3, p. 1126-1151 26 p.

Research output: Contribution to journalArticle

Modulational instability in equations of KdV type

Bronski, J. C., Hur, V. M. & Johnson, M. A., Jan 1 2016, In : Lecture Notes in Physics. 908, p. 83-133 51 p.

Research output: Contribution to journalArticle

2014

An Instability Index Theory for Quadratic Pencils and Applications

Bronski, J., Johnson, M. A. & Kapitula, T., Apr 2014, In : Communications in Mathematical Physics. 327, 2, p. 521-550 30 p.

Research output: Contribution to journalArticle

Modulational instability and variational structure

Bronski, J. C. & Hur, V. M., May 2014, In : Studies in Applied Mathematics. 132, 4, p. 285-331 47 p.

Research output: Contribution to journalArticle

2012

An alternative energy bound derivation for a generalized Hasegawa-Mima equation

Bronski, J. C. & Fetecau, R. C., Jun 1 2012, In : Nonlinear Analysis: Real World Applications. 13, 3, p. 1362-1368 7 p.

Research output: Contribution to journalArticle

Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model

Bronski, J. C., DeVille, L. & Jip Park, M., Jul 5 2012, In : Chaos. 22, 3, 033133.

Research output: Contribution to journalArticle

2011

An index theorem for the stability of periodic travelling waves of Korteweg-de Vries type

Bronski, J. C., Johnson, M. A. & Kapitula, T., Dec 1 2011, In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 141, 6, p. 1141-1173 33 p.

Research output: Contribution to journalArticle

Counting defect modes in periodic eigenvalue problems

Bronski, J. C. & Rapti, Z., May 30 2011, In : SIAM Journal on Mathematical Analysis. 43, 2, p. 803-827 25 p.

Research output: Contribution to journalArticle

2010

On the modulation equations and stability of periodic generalized Kortewegde Vries waves via Bloch decompositions

Johnson, M. A., Zumbrun, K. & Bronski, J. C., Nov 1 2010, In : Physica D: Nonlinear Phenomena. 239, 23-24, p. 2057-2065 9 p.

Research output: Contribution to journalArticle

Spectral gradient flow and equilibrium configurations of point vortices

Barreiro, A., Bronski, J. & Newton, P. K., Jun 8 2010, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 466, 2118, p. 1687-1702 16 p.

Research output: Contribution to journalArticle

The modulational instability for a generalized korteweg-de vries equation

Bronski, J. C. & Johnson, M. A., Jan 1 2010, In : Archive for Rational Mechanics and Analysis. 197, 2, p. 357-400 44 p.

Research output: Contribution to journalArticle

2009

Bifurcation theory explains waveform variability in a congenital eye movement disorder

Barreiro, A. K., Bronski, J. C. & Anastasio, T. J., Jan 1 2009, In : Journal of Computational Neuroscience. 26, 2, p. 321-329 9 p.

Research output: Contribution to journalArticle

Krein signatures for the faddeev-takhtajan eigenvalue problem

Bronski, J. C. & Johnson, M. A., Jun 1 2009, In : Communications in Mathematical Physics. 288, 3, p. 821-846 26 p.

Research output: Contribution to journalArticle

2007

An explicit family of probability measures for passive scalar diffusion in a random flow

Bronski, J. C., Camassa, R., Lin, Z., McLaughlin, R. M. & Scotti, A., Aug 1 2007, In : Journal of Statistical Physics. 128, 4, p. 927-968 42 p.

Research output: Contribution to journalArticle

A note on a non-local Kuramoto-Sivashinsky equation

Bronski, J. C., Fetecau, R. C. & Gambill, T. N., Aug 1 2007, In : Discrete and Continuous Dynamical Systems. 18, 4, p. 701-707 7 p.

Research output: Contribution to journalArticle

2006

Uncertainty estimates and L2 bounds for the Kuramoto-Sivashinsky equation

Bronski, J. C. & Gambill, T. N., Sep 1 2006, In : Nonlinearity. 19, 9, p. 2023-2039 17 p., 002.

Research output: Contribution to journalArticle

2003

Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length

Abdullaev, F. K., Bronski, J. C. & Galimzyanov, R. M., Oct 1 2003, In : Physica D: Nonlinear Phenomena. 184, 1-4, p. 319-332 14 p.

Research output: Contribution to journalArticle

Small Ball Constants and Tight Eigenvalue Asymptotics for Fractional Brownian Motions

Bronski, J. C., Jan 1 2003, In : Journal of Theoretical Probability. 16, 1, p. 87-100 14 p.

Research output: Contribution to journalArticle

2001

Arrangement of apolipoprotein A-I in reconstituted high-density lipoprotein disks: An alternative model based on fluorescence resonance energy transfer experiments

Tricerri, M. M., Behling Agree, A. K., Sanchez, S. A., Bronski, J. C. & Jonas, A., Apr 24 2001, In : Biochemistry. 40, 16, p. 5065-5074 10 p.

Research output: Contribution to journalArticle

Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential

Bronski, J. C., Carr, L. D., Deconinck, B. & Kutz, J. N., Feb 19 2001, In : Physical review letters. 86, 8, p. 1402-1405 4 p.

Research output: Contribution to journalArticle

Mathematical frontiers in optical solitons

Bronski, J. C., Segev, M. & Weinstein, M. I., Nov 6 2001, In : Proceedings of the National Academy of Sciences of the United States of America. 98, 23, p. 12872-12873 2 p.

Research output: Contribution to journalArticle

Spectral instability of the semiclassical Zakharov-Shabat eigenvalue problem

Bronski, J. C., May 15 2001, In : Physica D: Nonlinear Phenomena. 152-153, p. 163-170 8 p.

Research output: Contribution to journalArticle

Stability of attractive Bose-Einstein condensates in a periodic potential

Bronski, J. C., Carr, L. D., Carretero-González, R., Deconinck, B., Kutz, J. N. & Promislow, K., Nov 2001, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 64, 5 II, p. 056615/1-056615/9 056615.

Research output: Contribution to journalArticle

Stability of repulsive Bose-Einstein condensates in a periodic potential

Bronski, J. C., Carr, L. D., Deconinck, B., Kutz, J. N. & Promislow, K., Jan 1 2001, In : Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 63, 3

Research output: Contribution to journalArticle

2000

Rigorous estimates of the tails of the probability distribution function for the random linear shear model

Bronski, J. C. & McLaughlin, R. M., Feb 2000, In : Journal of Statistical Physics. 98, 3-4, p. 897-915 19 p.

Research output: Contribution to journalArticle

Soliton dynamics in a potential

Bronski, J. C. & Jerrard, R. L., Dec 1 2000, In : Mathematical Research Letters. 7, 2-3, p. 329-342 14 p.

Research output: Contribution to journalArticle

Soliton perturbations and the random Kepler problem

Abdullaev, F. K., Bronski, J. C. & Papanicolaou, G., Jan 15 2000, In : Physica D: Nonlinear Phenomena. 135, 3-4, p. 369-386 18 p.

Research output: Contribution to journalArticle

The problem of moments and the Majda model for scalar intermittency

Bronski, J. C. & McLaughlin, R. M., Jan 31 2000, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 265, 4, p. 257-263 7 p.

Research output: Contribution to journalArticle

1999

Observation of the breakup of a prechirped N-soliton in an optical fiber

Krylov, D., Leng, L., Bergman, K., Bronski, J. C. & Kutz, J. N., Sep 1 1999, In : Optics Letters. 24, 17, p. 1191-1193 3 p.

Research output: Contribution to journalArticle

1998

A preliminary numerical study of solitary wave propagation in a disordered medium

Bronski, J. C., Jan 1 1998, In : Physica D: Nonlinear Phenomena. 123, 1-4, p. 386-392 7 p.

Research output: Contribution to journalArticle

Nonlinear Scattering and Analyticity Properties of Solitons

Bronski, J. C., Jan 1 1998, In : Journal of Nonlinear Science. 8, 2, p. 161-182 22 p.

Research output: Contribution to journalArticle

Nonlinear wave propagation in a disordered medium

Bronski, J. C., Sep 1998, In : Journal of Statistical Physics. 92, 5-6, p. 995-1015 21 p.

Research output: Contribution to journalArticle

1997

Asymptotic behavior of the nonlinear Schrödinger equation with rapidly varying, mean-zero dispersion

Bronski, J. C. & Kutz, J. N., Jan 1 1997, In : Physica D: Nonlinear Phenomena. 108, 3, p. 315-329 15 p.

Research output: Contribution to journalArticle

On the stability of time-harmonic localized states in a disordered nonlinear medium

Bronski, J. C., McLaughlin, D. W. & Shelley, M. J., Sep 1997, In : Journal of Statistical Physics. 88, 5-6, p. 1077-1115 39 p.

Research output: Contribution to journalArticle

Scalar intermittency and the ground state of periodic Schrödinger equations

Bronski, J. C. & McLaughlin, R. M., Jan 1997, In : Physics of fluids. 9, 1, p. 181-190 10 p.

Research output: Contribution to journalArticle

1996

Modulational stability of plane waves in nonreturn-to-zero communications systems with dispersion management

Bronski, J. C. & Kutz, J. N., Jul 1 1996, In : Optics Letters. 21, 13, p. 937-939 3 p.

Research output: Contribution to journalArticle

Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem

Bronski, J. C., Jan 1 1996, In : Physica D: Nonlinear Phenomena. 97, 4, p. 376-397 22 p.

Research output: Contribution to journalArticle