Konstantin Mischaikow

According to our database1, Konstantin Mischaikow authored at least 39 papers between 1998 and 2020.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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PhD thesis 
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Bibliography

2020
Conley Index Approach to Sampled Dynamics.
SIAM J. Appl. Dyn. Syst., 2020

Contractibility of a persistence map preimage.
J. Appl. Comput. Topol., 2020

2019
A comparison framework for interleaved persistence modules.
J. Appl. Comput. Topol., 2019

2018
Model Rejection and Parameter Reduction via Time Series.
SIAM J. Appl. Dyn. Syst., 2018

Identifying robust hysteresis in networks.
PLoS Comput. Biol., 2018

2017
Topological Signals of Singularities in Ricci Flow.
Axioms, 2017

Database of Dynamic Signatures Generated by Regulatory Networks (DSGRN).
Proceedings of the Computational Methods in Systems Biology, 2017

2016
Combinatorial Representation of Parameter Space for Switching Networks.
SIAM J. Appl. Dyn. Syst., 2016

Conley-Morse Databases for the Angular Dynamics of Newton's Method on the Plane.
SIAM J. Appl. Dyn. Syst., 2016

Lattice Structures for Attractors II.
Found. Comput. Math., 2016

2014
Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps.
Found. Comput. Math., 2014

Coarse Dynamics for Coarse Modeling: An Example From Population Biology.
Entropy, 2014

Complex contagions on noisy geometric networks.
CoRR, 2014

2013
Rigorous A Posteriori Computation of (Un)Stable Manifolds and Connecting Orbits for Analytic Maps.
SIAM J. Appl. Dyn. Syst., 2013

Morse Theory for Filtrations and Efficient Computation of Persistent Homology.
Discret. Comput. Geom., 2013

2011
Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation.
SIAM J. Math. Anal., 2011

2010
Global smooth solution curves using rigorous branch following.
Math. Comput., 2010

Modeling Complexity of Physiological Time Series In-Silico.
Proceedings of the BIOSIGNALS 2010, 2010

2009
A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems.
SIAM J. Appl. Dyn. Syst., 2009

2008
Efficient Morse Decompositions of Vector Fields.
IEEE Trans. Vis. Comput. Graph., 2008

Validated continuation over large parameter ranges for equilibria of PDEs.
Math. Comput. Simul., 2008

2007
Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition.
IEEE Trans. Vis. Comput. Graph., 2007

Validated Continuation for Equilibria of PDEs.
SIAM J. Numer. Anal., 2007

Structure of the Attractor of the Cahn-hilliard equation on a Square.
Int. J. Bifurc. Chaos, 2007

2006
Vector field design on surfaces.
ACM Trans. Graph., 2006

On the detection of simple points in higher dimensions using cubical homology.
IEEE Trans. Image Process., 2006

Rigorous Computations of Homoclinic Tangencies.
SIAM J. Appl. Dyn. Syst., 2006

Coronary vessel trees from 3D imagery: A topological approach.
Medical Image Anal., 2006

2005
Feature-based surface parameterization and texture mapping.
ACM Trans. Graph., 2005

Rigorous Numerics for Global Dynamics: A Study of the Swift-Hohenberg Equation.
SIAM J. Appl. Dyn. Syst., 2005

Graph Approach to the Computation of the Homology of Continuous Maps.
Found. Comput. Math., 2005

An Algorithmic Approach to Chain Recurrence.
Found. Comput. Math., 2005

Coronary vessel cores from 3D imagery: a topological approach.
Proceedings of the Medical Imaging 2005: Image Processing, 2005

2004
A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems.
SIAM J. Appl. Dyn. Syst., 2004

2003
Competing Species near a Degenerate Limit.
SIAM J. Math. Anal., 2003

2002
Analysis of blood vessel topology by cubical homology.
Proceedings of the 2002 International Conference on Image Processing, 2002

2001
Rigorous Numerics for Partial Differential Equations: The Kuramoto-Sivashinsky Equation.
Found. Comput. Math., 2001

Cubical homology and the topological classification of 2D and 3D imagery.
Proceedings of the 2001 International Conference on Image Processing, 2001

1998
Chaos in the Lorenz equations: A computer assisted proof. Part II: Details.
Math. Comput., 1998


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