Chaos in the Lorenz equations: A computer assisted proof. Part II: Details. - Konstantin Mischaikow; Marian Mrozek (Math. Comput., 1998)

Cubical homology and the topological classification of 2D and 3D imagery. - Madjid Allili; Konstantin Mischaikow; Allen R. Tannenbaum (ICIP (2), 2001)

Rigorous Numerics for Partial Differential Equations: The Kuramoto-Sivashinsky Equation. - Piotr Zgliczynski; Konstantin Mischaikow (Found. Comput. Math., 2001)

Analysis of blood vessel topology by cubical homology. - Konstantin Mischaikow; Pawel Pilarczyk; William D. Kalies; Marc Niethammer; Andrew Stein; Allen R. Tannenbaum (ICIP (2), 2002)

Competing Species near a Degenerate Limit. - Vivian Hutson; Yuan Lou; Konstantin Mischaikow; Peter Polácik (SIAM J. Math. Anal., 2003)

A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems. - Sarah Day; Oliver Junge; Konstantin Mischaikow (SIAM J. Appl. Dyn. Syst., 2004)

Coronary vessel cores from 3D imagery: a topological approach. - Andrzej Szymczak; Allen R. Tannenbaum; Konstantin Mischaikow (Image Processing, 2005)

An Algorithmic Approach to Chain Recurrence. - William D. Kalies; Konstantin Mischaikow; Robert C. A. M. Vandervorst (Found. Comput. Math., 2005)

Graph Approach to the Computation of the Homology of Continuous Maps. - Konstantin Mischaikow; Marian Mrozek; Pawel Pilarczyk (Found. Comput. Math., 2005)

Rigorous Numerics for Global Dynamics: A Study of the Swift-Hohenberg Equation. - Sarah Day; Yasuaki Hiraoka; Konstantin Mischaikow; Toshiyuki Ogawa (SIAM J. Appl. Dyn. Syst., 2005)

Feature-based surface parameterization and texture mapping. - Eugene Zhang; Konstantin Mischaikow; Greg Turk (ACM Trans. Graph., 2005)

Coronary vessel trees from 3D imagery: A topological approach. - Andrzej Szymczak; Arthur E. Stillman; Allen R. Tannenbaum; Konstantin Mischaikow (Medical Image Anal., 2006)

Rigorous Computations of Homoclinic Tangencies. - Zin Arai; Konstantin Mischaikow (SIAM J. Appl. Dyn. Syst., 2006)

On the detection of simple points in higher dimensions using cubical homology. - Marc Niethammer; William D. Kalies; Konstantin Mischaikow; Allen R. Tannenbaum (IEEE Trans. Image Process., 2006)

Vector field design on surfaces. - Eugene Zhang; Konstantin Mischaikow; Greg Turk (ACM Trans. Graph., 2006)

Structure of the Attractor of the Cahn-hilliard equation on a Square. - Stanislaus Maier-Paape; Konstantin Mischaikow; Thomas Wanner (Int. J. Bifurc. Chaos, 2007)

Validated Continuation for Equilibria of PDEs. - Sarah Day; Jean-Philippe Lessard; Konstantin Mischaikow (SIAM J. Numer. Anal., 2007)

Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition. - Guoning Chen; Konstantin Mischaikow; Robert S. Laramee; Pawel Pilarczyk; Eugene Zhang (IEEE Trans. Vis. Comput. Graph., 2007)

Validated continuation over large parameter ranges for equilibria of PDEs. - Marcio Gameiro; Jean-Philippe Lessard; Konstantin Mischaikow (Math. Comput. Simul., 2008)

Efficient Morse Decompositions of Vector Fields. - Guoning Chen; Konstantin Mischaikow; Robert S. Laramee; Eugene Zhang (IEEE Trans. Vis. Comput. Graph., 2008)

A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems. - Zin Arai; William D. Kalies; Hiroshi Kokubu; Konstantin Mischaikow; Hiroe Oka; Pawel Pilarczyk (SIAM J. Appl. Dyn. Syst., 2009)

Modeling Complexity of Physiological Time Series In-Silico. - Jesse Berwald; Tomás Gedeon; Konstantin Mischaikow (BIOSIGNALS, 2010)

Global smooth solution curves using rigorous branch following. - Jan Bouwe van den Berg; Jean-Philippe Lessard; Konstantin Mischaikow (Math. Comput., 2010)

Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation. - Jan Bouwe van den Berg; Jason D. Mireles-James; Jean-Philippe Lessard; Konstantin Mischaikow (SIAM J. Math. Anal., 2011)

Morse Theory for Filtrations and Efficient Computation of Persistent Homology. - Konstantin Mischaikow; Vidit Nanda (Discret. Comput. Geom., 2013)

Rigorous A Posteriori Computation of (Un)Stable Manifolds and Connecting Orbits for Analytic Maps. - Jason D. Mireles-James; Konstantin Mischaikow (SIAM J. Appl. Dyn. Syst., 2013)

Complex contagions on noisy geometric networks. - Dane Taylor; Florian Klimm; Heather A. Harrington; Miroslav Kramár; Konstantin Mischaikow; Mason A. Porter; Peter J. Mucha (CoRR, 2014)

Coarse Dynamics for Coarse Modeling: An Example From Population Biology. - Justin Bush; Konstantin Mischaikow (Entropy, 2014)

Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps. - Shaun Harker; Konstantin Mischaikow; Marian Mrozek; Vidit Nanda (Found. Comput. Math., 2014)

Lattice Structures for Attractors II. - William D. Kalies; Konstantin Mischaikow; Robert C. A. M. Vandervorst (Found. Comput. Math., 2016)

Conley-Morse Databases for the Angular Dynamics of Newton's Method on the Plane. - Justin Bush; Wes Cowan; Shaun Harker; Konstantin Mischaikow (SIAM J. Appl. Dyn. Syst., 2016)

Combinatorial Representation of Parameter Space for Switching Networks. - Bree Cummins; Tomás Gedeon; Shaun Harker; Konstantin Mischaikow; Kafung Mok (SIAM J. Appl. Dyn. Syst., 2016)

Database of Dynamic Signatures Generated by Regulatory Networks (DSGRN). - Bree Cummins; Tomás Gedeon; Shaun Harker; Konstantin Mischaikow (CMSB, 2017)

Topological Signals of Singularities in Ricci Flow. - Paul M. Alsing; Howard A. Blair; Matthew Corne; Gordon Jones; Warner A. Miller; Konstantin Mischaikow; Vidit Nanda (Axioms, 2017)

Identifying robust hysteresis in networks. - Tomás Gedeon; Bree Cummins; Shaun Harker; Konstantin Mischaikow (PLoS Comput. Biol., 2018)

Model Rejection and Parameter Reduction via Time Series. - Bree Cummins; Tomás Gedeon; Shaun Harker; Konstantin Mischaikow (SIAM J. Appl. Dyn. Syst., 2018)

A comparison framework for interleaved persistence modules. - Shaun Harker; Miroslav Kramár; Rachel Levanger; Konstantin Mischaikow (J. Appl. Comput. Topol., 2019)

Contractibility of a persistence map preimage. - Jacek Cyranka; Konstantin Mischaikow; Charles Weibel (J. Appl. Comput. Topol., 2020)

Conley Index Approach to Sampled Dynamics. - Bogdan Batko; Konstantin Mischaikow; Marian Mrozek; Mateusz Przybylski (SIAM J. Appl. Dyn. Syst., 2020)

Extracting Global Dynamics of Loss Landscape in Deep Learning Models. - Mohammed Eslami; Hamed Eramian; Marcio Gameiro; William D. Kalies; Konstantin Mischaikow (CoRR, 2021)

A computational framework for connection matrix theory. - Shaun Harker; Konstantin Mischaikow; Kelly Spendlove (J. Appl. Comput. Topol., 2021)

Mapping parameter spaces of biological switches. - Rocky Diegmiller; Lun Zhang; Marcio Gameiro; Justinn Barr; Jasmin Imran Alsous; Paul Schedl; Stanislav Y. Shvartsman; Konstantin Mischaikow (PLoS Comput. Biol., 2021)

Rational design of complex phenotype via network models. - Marcio Gameiro; Tomás Gedeon; Shane Kepley; Konstantin Mischaikow (PLoS Comput. Biol., 2021)

Computing Linear Extensions for Polynomial Posets Subject to Algebraic Constraints. - Shane Kepley; Konstantin Mischaikow; Lun Zhang (SIAM J. Appl. Algebra Geom., 2021)

Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities. - William D. Kalies; Tomás Gedeon; Hiroshi Kokubu; Konstantin Mischaikow; Hiroe Oka (SIAM J. Appl. Dyn. Syst., 2021)

Morse Graphs: Topological Tools for Analyzing the Global Dynamics of Robot Controllers. - Ewerton R. Vieira; Edgar Granados; Aravind Sivaramakrishnan; Marcio Gameiro; Konstantin Mischaikow; Kostas E. Bekris (WAFR, 2022)

Global analysis of regulatory network dynamics: equilibria and saddle-node bifurcations. - Shane Kepley; Konstantin Mischaikow; Elena Queirolo (CoRR, 2022)

Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation. - Bree Cummins; Marcio Gameiro; Tomás Gedeon; Shane Kepley; Konstantin Mischaikow; Lun Zhang (SIAM J. Appl. Dyn. Syst., 2022)

Experimental guidance for discovering genetic networks through hypothesis reduction on time series. - Breschine Cummins; Francis C. Motta; Robert C. Moseley; Anastasia Deckard; Sophia Campione; Marcio Gameiro; Tomás Gedeon; Konstantin Mischaikow; Steven B. Haase (PLoS Comput. Biol., 2022)

Data-Efficient Characterization of the Global Dynamics of Robot Controllers with Confidence Guarantees. - Ewerton R. Vieira; Aravind Sivaramakrishnan; Yao Song; Edgar Granados; Marcio Gameiro; Konstantin Mischaikow; Ying Hung; Kostas E. Bekris (ICRA, 2023)

Computing the Conley Index: A Cautionary Tale. - Konstantin Mischaikow; Charles Weibel (SIAM J. Appl. Algebra Geom., 2023)

MORALS: Analysis of High-Dimensional Robot Controllers via Topological Tools in a Latent Space. - Ewerton R. Vieira; Aravind Sivaramakrishnan; Sumanth Tangirala; Edgar Granados; Konstantin Mischaikow; Kostas E. Bekris (ICRA, 2024)

Identifying Nonlinear Dynamics with High Confidence from Sparse Data. - Bogdan Batko; Marcio Gameiro; Ying Hung; William D. Kalies; Konstantin Mischaikow; Ewerton R. Vieira (SIAM J. Appl. Dyn. Syst., 2024)