20142019

Research output per year

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2019

Isolas Versus Snaking of Localized Rolls

Aougab, T., Beck, M., Carter, P., Desai, S., Sandstede, B., Stadt, M. & Wheeler, A., Sep 1 2019, In : Journal of Dynamics and Differential Equations. 31, 3, p. 1199-1222 24 p.

Research output: Contribution to journalArticle

2 Scopus citations

Localized radial roll patterns in higher space dimensions

Bramburger, J. J., Altschuler, D., Avery, C. I., Sangsawang, T., Beck, M., Carter, P. & Sandstede, B., Jan 1 2019, In : SIAM Journal on Applied Dynamical Systems. 18, 3, p. 1420-1453 34 p.

Research output: Contribution to journalArticle

1 Scopus citations

Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems

Bastiaansen, R., Carter, P. & Doelman, A., Jul 17 2019, In : Nonlinearity. 32, 8, p. 2759-2814 56 p.

Research output: Contribution to journalArticle

3 Scopus citations
2018

Traveling stripes in the Klausmeier model of vegetation pattern formation

Carter, P. & Doelman, A., Jan 1 2018, In : SIAM Journal on Applied Mathematics. 78, 6, p. 3213-3237 25 p.

Research output: Contribution to journalArticle

1 Scopus citations

Unpeeling a homoclinic banana in the fitzhugh–nagumo system

Carter, P. & Sandstede, B., Jan 1 2018, In : SIAM Journal on Applied Dynamical Systems. 17, 1, p. 236-349 114 p.

Research output: Contribution to journalArticle

4 Scopus citations

Wave train selection by invasion fronts in the FitzHugh-Nagumo equation

Carter, P. & Scheel, A., Nov 7 2018, In : Nonlinearity. 31, 12, p. 5536-5572 37 p.

Research output: Contribution to journalArticle

2 Scopus citations
2017

Assimilating Eulerian and Lagrangian data in traffic-flow models

Xia, C., Cochrane, C., DeGuire, J., Fan, G., Holmes, E., McGuirl, M., Murphy, P., Palmer, J., Carter, P., Slivinski, L. & Sandstede, B., May 1 2017, In : Physica D: Nonlinear Phenomena. 346, p. 59-72 14 p.

Research output: Contribution to journalArticle

Open Access
2 Scopus citations

On functions whose mean value abscissas are midpoints, with connections to harmonic functions

Carter, P. & Lowry-Duda, D., Jun 1 2017, In : American Mathematical Monthly. 124, 6, p. 535-542 8 p.

Research output: Contribution to journalArticle

Relaxing the integral test: A challenge for the advanced calculus student

Carter, P. & Solomon, Y. E., Sep 1 2017, In : College Mathematics Journal. 48, 4, p. 290-291 2 p.

Research output: Contribution to journalArticle

Transonic canards and stellar wind

Carter, P., Knobloch, E. & Wechselberger, M., Jan 25 2017, In : Nonlinearity. 30, 3, p. 1006-1033 28 p.

Research output: Contribution to journalArticle

3 Scopus citations
2016

Stability of Traveling Pulses with Oscillatory Tails in the FitzHugh–Nagumo System

Carter, P., de Rijk, B. & Sandstede, B., Oct 1 2016, In : Journal of Nonlinear Science. 26, 5, p. 1369-1444 76 p.

Research output: Contribution to journalArticle

12 Scopus citations
2015

Fast pulses with oscillatory tails in the fitzhugh-nagumo system

Carter, P. & Sandstede, B., Jan 1 2015, In : SIAM Journal on Mathematical Analysis. 47, 5, p. 3393-3441 49 p.

Research output: Contribution to journalArticle

18 Scopus citations
2014

Multijam solutions in traffic models with velocity-dependent driver strategies

Carter, P., Christiansen, P. L., Gaididei, Y. B., Gorria, C., Sandstede, B., Sørensen, M. P. & Starke, J., Jan 1 2014, In : SIAM Journal on Applied Mathematics. 74, 6, p. 1895-1918 24 p.

Research output: Contribution to journalArticle

1 Scopus citations