Submitted, 2026
Citation: Maxime Breden, Evelyn Sander, and Thomas Wanner, Validation of Symmetry Induced Bifurcation Points in Nonlinear Diffusion Problems, Submitted, 2026.
arXiv
Published in AMS Notices, 2026
Citation: Patrick R. Bishop, Summer Chenoweth, Emmanuel Fleurantin, Alonso Ogueda-Oliva, Evelyn Sander, Julia Seay, 3D Printing of Invariant Manifolds in Dynamical Systems, AMS Notices, 73(1):5-15(2026), doi:10.1090/noti3288, 2026.
Journal Link | arXiv
Submitted, 2026
Citation: Patrick R. Bishop, Summer Chenoweth, Emmanuel Fleurantin, Jay Mireles James, and Evelyn Sander, Dynamics of Perturbed Elliptic Billiard Tables, Submitted, 2026.
arXiv
Published in Journal of Physics A: Mathematical and Theoretical, 2025
Citation: Evelyn Sander and James D. Meiss, Computing Lyapunov Exponents using Weighted Birkhoff Averages, Journal of Physics A: Mathematical and Theoretical, 58(2025):355701, doi:10.1088/1751-8121/adfac1, 2025.
Journal Link | arXiv
Published in Nonlinear Science and Numerical Simulation, 2025
Citation: James D. Meiss and Evelyn Sander, Resonance and Weak Chaos in Quasiperiodically-Forced Circle Maps, Nonlinear Science and Numerical Simulation, 142: 108562, 2025.
Journal Link | arXiv
Published in Chaos: An Interdisciplinary Journal of Nonlinear Science (AIP), 2025
Citation: Evelyn Sander and James D. Meiss, Proportions of Incommensurate, Resonant, and Chaotic Orbits for Torus Maps, Chaos: An Interdisciplinary Journal of Nonlinear Science (AIP), 35, 013147 (2025), doi:10.1063/5.0226617 , 2025.
Journal Link | arXiv
Published in European Journal of Physics , 2024
Citation: D.M. Anderson, P.R. Bishop, M. Brant, G. Castaneda Guzman, E. Sander, and G. Thomas, Stability of Floating Objects at a Two-Fluid Interface, European Journal of Physics, 45: 055001 (2024), doi:10.1088/1361-6404/ad5ca8, 2024.
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Published in Discrete and Continuous Dynamical Systems Series B., 2024
Citation: Peter Rizzi, Evelyn Sander, and Thomas Wanner, Cyclic Symmetry Induced Pitchfork Bifurcations in the Diblock Copolymer Model, Discrete and Continuous Dynamical Systems Series B., 29(2): 666-701 (2024), doi/10.3934/dcdsb.2023109, 2024.
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Published in Chaos, 2023
Citation: Jonathan Jaquette, Sonal Kedia, Evelyn Sander, and Jonathan Touboul, Reliability and robustness of oscillations in some slow-fast chaotic systems, Chaos, 33, 103135(2023), doi:10.1063/5.0166846, 2023.
Journal Link | arXiv
Published in Problems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS), 2023
Citation: J.G. Jauchen, H. Klawa, L. Nguyen, R. R.G., E. Sander, P. Seshaiyer, and C. Thomas, GLAMS: Graduate Learning Assistants in Mathematical Sciences, Problems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS), 33(8): 819-840 (2023), doi:10.1080/10511970.2023.2172751, 2023.
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Published in Proceedings of Symposia in Applied Mathematics (PSAPM) , 2023
Citation: Daniel M. Anderson, Brandon G. Barreto-Rosa, Joshua D. Calvano, Lujain Nsair, and Evelyn Sander (Edited by Maria Trnkova and Andrew Yarmola), Mathematics of Floating 3D Printed Objects, Proceedings of Symposia in Applied Mathematics (PSAPM), 79, American Mathematical Society (2023), 10.1090/psapm/079/00710, 2023.
Journal Link | arXiv
Published in Communications in Nonlinear Science and Numerical Simulation, 2022
Citation: Peter Rizzi, Evelyn Sander, and Thomas Wanner, Equilibrium validation for triblock copolymers via inverse norm bounds for fourth-order elliptic operators, Communications in Nonlinear Science and Numerical Simulation, 115: 106789 (2022), 10.1016/j.cnsns.2022.106789, 2022.
Journal Link | arXiv
Published in The Best Writing on Mathematics 2021, 2022
Citation: Stephen K. Lucas, E. Sander, and Laura Taalman (Edited by Mircea Pitici), Modeling Dynamical Systems for 3D Printing, The Best Writing on Mathematics 2021, Princeton University Press, 2022.
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Published in Pure and Applied Functional Analysis, 2022
Citation: S. Kamimoto, H.K. Kim, E. Sander, and T. Wanner, A Computer-Assisted Study of Red Coral Population Dynamics, Pure and Applied Functional Analysis, 7(4): 1307-1337 (2022), 2022.
Journal Link | arXiv
Published in Discrete and Continuous Dynamical Systems Series B, 2021
Citation: E. Sander and T. Wanner, Equilibrium Validation in Models for Pattern Formation Based on Sobolev Embeddings, Discrete and Continuous Dynamical Systems Series B, 26(1): 603-632, doi:10.3934/dcdsb.2020260, 2021.
Journal Link | arXiv
Published in Physica D, 2021
Citation: E. Sander and J.D. Meiss, Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps, Physica D, 428:133048, (2021) doi:10.1016/j.physd.2021.133048, 2021.
Journal Link | Alternate link | arXiv
Published in On Demand, Innovations in Teaching & Learning Conference Proceedings, 2021
Citation: R. R.G., H. Klawa, C. Thomas, L. Nguyen, J. Jauchen, P. Seshaiyer, and E. Sander, Graduate Assistants supporting active learning in graduate classrooms, On Demand, Innovations in Teaching & Learning Conference Proceedings, 13 (2021), doi:10.13021/itlcp.2021.3007, 2021.
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Published in Physica D, 2020
Citation: E. Sander and J.D. Meiss, Birkhoff Averages and Rotational Invariant Circles for Area-Preserving Maps, Physica D, 411: 132529 (2020), doi:10.1016/j.physd.2020.132569, 2020.
Journal Link | Alternate link | arXiv
Published in AMS Notices, 2020
Citation: Stephen K. Lucas, E. Sander, and Laura Taalman, Modeling Dynamical Systems for 3D Printing, AMS Notices, 67(11): 1692-1705 (2020), doi:10.1090/noti2187, 2020.
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Published in Illustrating Mathematics, 2020
Citation: E. Sander (Edited by Diana Davis), An entry in the 3D Printing section, Illustrating Mathematics, American Mathematical Society, 2020.
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Published in Dynamical Systems Magazine, 2019
Citation: E. Sander, Margaret Beck, Crawford Prizewinner, Dynamical Systems Magazine, July, 2019.
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Published in Discrete & Continuous Dynamical Systems - S, 2019
Citation: S. Das, Y. Saiki, E. Sander, and J.A. Yorke, Solving the Babylonian Problem of quasiperiodic rotation rates, Discrete & Continuous Dynamical Systems - S, 12(8): 2279-2305, 2019.
Journal Link | Alternate link | arXiv
Published in The European Physical Journal Special Topics, 2017
Citation: Y. Saiki, E. Sander, and J.A. Yorke, Generalized Lorenz equations on a three-sphere, The European Physical Journal Special Topics, 226 (9) 1751-1764, 2017.
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Published in Journal of Computational Dynamics, 2017
Citation: J-P Lessard, E. Sander, and T. Wanner, Rigorous continuation of bifurcation points in the diblock copolymer equation, Journal of Computational Dynamics, 4(1&2):71-118, 2017.
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Published in Nonlinearity, 2017
Citation: S. Das, Y. Saiki, E. Sander, and J.A. Yorke, Quantitative quasiperiodicity, Nonlinearity, 30(11): 4111-4140, 2017.
Journal Link | Alternate link | arXiv
Published in SIAM Journal on Applied Dynamical Systems, 2016
Citation: E. Sander and T. Wanner, Validated Saddle-Node Bifurcations and Applications to Lattice Dynamical Systems, SIAM Journal on Applied Dynamical Systems, 15(3): 1690-1733, 2016.
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Published in Journal of Computational Neuroscience, 2016
Citation: R.I. Reznik, E. Barreto, E. Sander, and P. So, Effects of polarization induced by non-weak electric fields on the excitability of elongated neurons with active dendrites, Journal of Computational Neuroscience, 40(1): 27-50, 2016.
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Published in Proceeding of The Foundations of Chaos Revisited: From Poincare to Recent Advancements, 2016
Citation: S. Das, Y. Saiki, E. Sander, and J.A. Yorke, Quasiperiodicity: Rotation numbers, Proceeding of The Foundations of Chaos Revisited: From Poincare to Recent Advancements, Chapter 7, 103-118, Springer Complexity, Switzerland, 2016.
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Published in Europhysics Letters, 2016
Citation: S. Das, C.B. Dock, Y. Saiki, M. Salgado-Flores, E. Sander, J. Wu, and J. A. Yorke, Measuring quasiperiodicity, Europhysics Letters, 114(4):40005, 2016.
Journal Link | Alternate link | arXiv
Published in SIAM Journal on Applied Dynamical Systems, 2016
Citation: D. Blömker, E. Sander, and T. Wanner, Degenerate Nucleation in the Cahn–Hilliard–Cook Model, SIAM Journal on Applied Dynamical Systems, 15(1): 459-494, DOI:10.1137/15M1028844, 2016.
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Published in SIAM News, 2015
Citation: E. Sander and J.A. Yorke, Chaos and its manifestations, SIAM News, 48(7) September, 2015.
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Published in International Journal of Bifurcation and Chaos, 2015
Citation: E. Sander and J.A. Yorke, The many facets of chaos, International Journal of Bifurcation and Chaos, 25(4), 15300, 2015.
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Published in Mathematical Modelling of Zombies, 2014
Citation: E. Sander and C.M. Topaz (editor R. Smith?), Epidemics in the presence of social attraction and repulsion, Mathematical Modelling of Zombies, University of Ottawa Press, 2014.
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Published in Blog , 2014
Published in Chaos, 2013
Citation: E. Sander and J.A. Yorke, A period-doubling cascade precedes chaos for planar maps, Chaos, 23(3): 033113, 2013.
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Published in Discrete and Continuous Dynamical Systems- Series A, 2013
Citation: I. Johnson, E. Sander, and T. Wanner, Branch interactions and long-term dynamics for the diblock copolymer model in one dimension, Discrete and Continuous Dynamical Systems- Series A, 33(8): 3671 - 3705, 2013.
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Published in Electronic Journal of Differential Equations, 2012
Citation: R. Tatum and E. Sander, Pattern formation in a mixed local and nonlocal reaction-diffusion system, Electronic Journal of Differential Equations, 160: 1-30, 2012.
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Published in International Journal of Bifurcation and Chaos, 2012
Citation: E. Sander and J.A. Yorke, Connecting period-doubling cascades to chaos, International Journal of Bifurcation and Chaos, 22 (2): 1250022-1, 2012.
Journal Link | arXiv
Published in Ergodic Theory and Dynamical Systems, 2011
Citation: E. Sander and J.A. Yorke, Period-doubling cascades galore, Ergodic Theory and Dynamical Systems, 31(4):1249-1267, 2011.
Journal Link | Alternate link | arXiv
Published in Dynamical Systems Magazine, 2011
Citation: E. Sander, The Dynamical Systems Track at ICIAM 2011 in Vancouver, Dynamical Systems Magazine, October, 2011.
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Published in SIAM Journal on Applied Dynamical Systems, 2011
Citation: Jonathan P. Desi, Hanein Edrees, Joseph J. Price, E. Sander, and T. Wanner, The dynamics of nucleation in stochastic Cahn-Morral systems, SIAM Journal on Applied Dynamical Systems, 10(2): 707-743, 2011.
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Published in Journal of Fixed Point Theory and Applications, 2010
Citation: M.R. Joglekar, E. Sander, and J.A. Yorke, Fixed points indices and period-doubling cascades, Journal of Fixed Point Theory and Applications, 8(1):151-176, 2010.
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Published in Journal of Fixed Point Theory and Applications, 2009
Citation: E. Sander and J.A. Yorke, Period-doubling cascades for large perturbations of Henon families, Journal of Fixed Point Theory and Applications, 6(1): 153-163, 2009.
Journal Link | Alternate link | arXiv
Published in Ergodic Theory and Dynamical Systems, 2009
Citation: E. Sander and J.A. Yorke, A classification of explosions in dimension one, Ergodic Theory and Dynamical Systems, 29: 715-731, 2009.
Journal Link | Alternate link | arXiv
Published in Scholarpedia, 2009
Citation: E. Barreto, P. So, and E. Sander, Noninvertibility, Scholarpedia, 4(8):2242, 2009.
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Published in Rendiconti del Seminario Matematico, Torino, 2007
Citation: K.T. Alligood, E. Sander, and J.A. Yorke, Explosions in dimensions one through three, Rendiconti del Seminario Matematico, Torino, 65(1): 1-15, 2007.
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Published in Discrete and Continuous Dynamical Systems, Series A, 2006
Citation: J.P. Desi, E. Sander and T. Wanner, Complex transient patterns on the disk, Discrete and Continuous Dynamical Systems, Series A, 15(4):1049-1078, 2006.
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Published in Phys. Rev. Lett., 2006
Citation: K.T. Alligood, E. Sander, and J.A. Yorke, Three-dimensional crisis: Crossing bifurcations and unstable dimension variability, Phys. Rev. Lett., 96(24):244103, 2006.
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Published in Discrete and Continuous Dynamical Systems, 2005
Citation: E. Barreto, E. Sander, S. Schiff, and P. So, Dynamics of noninvertibility in delay equations, Discrete and Continuous Dynamical Systems, 768-777, 2005.
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Published in Dynamical Systems Magazine, 2005
Citation: E. Sander, A description of the DSWeb Tutorials Competition, Dynamical Systems Magazine, July, 2005.
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Published in Chaos, 2004
Citation: K. Josic and E. Sander, The structure of synchronization sets for noninvertible systems, Chaos, 14(2):249-262, 2004.
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Published in Journal of Differential Equations, 2003
Citation: E. Sander and T. Wanner, Pattern formation in a nonlinear model for animal coats, Journal of Differential Equations, 191(1):143-174, 2003.
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Published in Chaos, 2003
Citation: E. Barreto, K. Josic, C. Morales, E. Sander, and P. So, The geometry of chaos synchronization, Chaos, 13(1):151-164, 2003.
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Published in Physical Review E, 2002
Citation: P. So, E. Barreto, K. Josic, E. Sander and S.J. Schiff, Limits to the experimental detection of nonlinear synchrony, Physical Review E, 65(4):046225, 2002.
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Published in Ergodic Theory and Dynamical Systems, 2002
Citation: K.T. Alligood, E. Sander, and J.A. Yorke, Explosions: Global Bifurcations at Heteroclinic Tangencies, Ergodic Theory and Dynamical Systems, 22(4):953-972, 2002.
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Published in American Scientist, 2001
Citation: E. Sander, Against All Odds: Review of Women Becoming Mathematicians by Margaret Murray, American Scientist, January-February, 2001.
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Published in SIAM Journal on Applied Mathematics, 2000
Citation: E. Sander and T. Wanner, Unexpectedly Linear Behavior for the Cahn–Hilliard Equation, SIAM Journal on Applied Mathematics, 60(6):2182-2202, 2000.
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Published in International Conference on Differential Equations, 2000
Citation: S. Maier-Paape, E. Sander, and T. Wanner, Spinodal decomposition: A survey of recent results, International Conference on Differential Equations, 2:1288-1299, 2000.
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Published in Nonlinear Analysis, 2000
Citation: E. Sander, Homoclinic tangles for noninvertible maps, Nonlinear Analysis, 41(1-2):259-276, 2000.
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Published in Journal of Statistical Physics, 1999
Citation: E. Sander and T. Wanner, Monte Carlo simulations for spinodal decomposition, Journal of Statistical Physics, 95(5-6):925-948, 1999.
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Published in Discrete and Continuous Dynamical Systems- Series A, 1999
Citation: E. Sander, Hyperbolic sets for noninvertible maps and relations, Discrete and Continuous Dynamical Systems- Series A, 5(2):339-358, 1999.
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Published in Zeitschrift für angewandte Mathematik und Physik (ZAMP), 1996
Citation: E. Sander and R. McGehee, A new proof of the stable manifold theorem, Zeitschrift für angewandte Mathematik und Physik (ZAMP), 47:497-513, 1996.
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Published in PhD Thesis, 1996
Citation: E. Sander, Hyperbolic Sets for Noninvertible Maps and Relations, PhD Thesis, University of Minnesota, 1996.
Published in Geometry Center, University of Minnesota, 1995
Citation: R. Hesse and E. Sander, Further Geometry Forum Articles, Geometry Center, University of Minnesota, Report GCG83, 1995.
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Published in Computers in Physics, 1994
Citation: E. Sander, L.M. Sander, and R.M. Ziff, Fractals and fractal correlations, Computers in Physics, 8(4):420-425, 1994.
Published in Geometry Center, University of Minnesota, 1994
Citation: E. Sander, Geometry Forum articles, Geometry Center, University of Minnesota, Report GCG69, 1994.
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