Published in submitted, 2025
Citation: Patrick R. Bishop, Summer Chenoweth, Emmanuel Fleurantin, Alonso Ogueda-Oliva, Evelyn Sander, Julia Seay , 3D Printing of Invariant Manifolds in Dynamical Systems, submitted, , 2025.
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.
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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) , 2025.
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Published in Submitted, 2025
Citation: Evelyn Sander and James D. Meiss, Computing Lyapunov Exponents using Weighted Birkhoff Averages, Submitted, , 2025.
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.
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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.
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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), 2023.
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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.
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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.
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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.
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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.
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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, 2021.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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, 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.
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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.
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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.
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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.
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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.
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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.
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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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