Publications

Computing Lyapunov Exponents using Weighted Birkhoff Averages

Published in Submitted, 2024

Citation: Evelyn Sander and James D. Meiss, Computing Lyapunov Exponents using Weighted Birkhoff Averages, Submitted, , 2024.
arXiv

Stability of Floating Objects at a Two-Fluid Interface

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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Proportions of Incommensurate, Resonant, and Chaotic Orbits for Torus Maps

Published in Submitted, 2024

Citation: Evelyn Sander and James D. Meiss, Proportions of Incommensurate, Resonant, and Chaotic Orbits for Torus Maps, Submitted, , 2024.
arXiv

Resonance and Weak Chaos in Quasiperiodically-Forced Circle Maps

Published in Submitted, 2024

Citation: James D. Meiss and Evelyn Sander, Resonance and Weak Chaos in Quasiperiodically-Forced Circle Maps, Submitted, , 2024.
arXiv

Cyclic Symmetry Induced Pitchfork Bifurcations in the Diblock Copolymer Model

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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Reliability and robustness of oscillations in some slow-fast chaotic systems

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.
Download Paper | Journal Link | arXiv

GLAMS: Graduate Learning Assistants in Mathematical Sciences

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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Mathematics of Floating 3D Printed Objects

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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Equilibrium validation for triblock copolymers via inverse norm bounds for fourth-order elliptic operators

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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Modeling Dynamical Systems for 3D Printing

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.
Link to Journal

A Computer-Assisted Study of Red Coral Population Dynamics

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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Equilibrium Validation in Models for Pattern Formation Based on Sobolev Embeddings

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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Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps

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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Graduate Assistants supporting active learning in graduate classrooms

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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Birkhoff Averages and Rotational Invariant Circles for Area-Preserving Maps

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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Modeling Dynamical Systems for 3D Printing

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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An entry in the 3D Printing section

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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Margaret Beck, Crawford Prizewinner

Published in Dynamical Systems Magazine, 2019

Citation: E. Sander, Margaret Beck, Crawford Prizewinner, Dynamical Systems Magazine, July, 2019.
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Solving the Babylonian Problem of quasiperiodic rotation rates

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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Generalized Lorenz equations on a three-sphere

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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Rigorous continuation of bifurcation points in the diblock copolymer equation

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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Quantitative quasiperiodicity

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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Validated saddle-node bifurcations and applications to lattice dynamical systems

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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Effects of polarization induced by non-weak electric fields on the excitability of elongated neurons with active dendrites

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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Quasiperiodicity: Rotation numbers

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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Measuring quasiperiodicity

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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Degenerate nucleation in the Cahn-Hilliard-Cook model

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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Chaos and its manifestations

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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The many facets of chaos

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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Epidemics in the presence of social attraction and repulsion

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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GMU Math MakerLab

Published in Blog , 2014

A period-doubling cascade precedes chaos for planar maps

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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Branch interactions and long-term dynamics for the diblock copolymer model in one dimension

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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Pattern formation in a mixed local and nonlocal reaction-diffusion system

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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Connecting period-doubling cascades to chaos

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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Period-doubling cascades galore

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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The Dynamical Systems Track at ICIAM 2011 in Vancouver

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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The dynamics of nucleation in stochastic Cahn-Morral systems

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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Fixed points indices and period-doubling cascades

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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Period-doubling cascades for large perturbations of Henon families

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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A classification of explosions in dimension one

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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Noninvertibility

Published in Scholarpedia, 2009

Citation: E. Barreto, P. So, and E. Sander, Noninvertibility, Scholarpedia, 4(8):2242, 2009.
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Explosions in dimensions one through three

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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Complex transient patterns on the disk

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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Three-dimensional crisis: Crossing bifurcations and unstable dimension variability

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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Dynamics of noninvertibility in delay equations

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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A description of the DSWeb Tutorials Competition

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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The structure of synchronization sets for noninvertible systems

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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Pattern formation in a nonlinear model for animal coats

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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The geometry of chaos synchronization

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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Limits to the experimental detection of nonlinear synchrony

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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Explosions: Global Bifurcations at Heteroclinic Tangencies

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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Against All Odds: Review of Women Becoming Mathematicians by Margaret Murray

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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Unexpectedly linear behavior for the Cahn-Hilliard equation

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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Spinodal decomposition: A survey of recent results

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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Homoclinic tangles for noninvertible maps

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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Monte Carlo simulations for spinodal decomposition

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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Hyperbolic sets for noninvertible maps and relations

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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A new proof of the stable manifold theorem

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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Hyperbolic Sets for Noninvertible Maps and Relations

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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Further Geometry Forum Articles

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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Fractals and fractal correlations

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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Geometry Forum articles

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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