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D-Index & Metrics

Mathematics

D-Index
30
Citations
3396
World Ranking
3547
National Ranking
1369

Overview

Todd Kapitula is affiliated with Calvin University in the United States. Their research spans multiple interdisciplinary fields, including Social Sciences, Physics and Astronomy, and Computer Science. These areas reflect a broad approach to studying complex systems and social phenomena.

The scientist's work focuses notably on topics such as:

  • Language and cultural evolution
  • Opinion Dynamics and Social Influence
  • Authorship Attribution and Profiling
  • Cellular Automata and Applications

Kapitula's research has been published in multiple venues, with frequent contributions to:

  • Studies in Applied Mathematics
  • arXiv (Cornell University)

Among their recent publications are:

  • "Language competition on lattices" (2021), published in Studies in Applied Mathematics
  • "Dynamics of two languages competing on a network: a case study" (2021), published on arXiv (Cornell University)

Collaborations have involved frequent co-authorship with P. G. Kevrekidis, indicating a working partnership across at least two papers.

The subfields within which Kapitula operates include:

  • Cultural Studies
  • Statistical and Nonlinear Physics
  • Artificial Intelligence
  • Computational Theory and Mathematics

The scientist's body of work engages with mathematical and computational models to analyze social and linguistic phenomena, intersecting with artificial intelligence and nonlinear physics methodologies.

Best Publications

  • Spectral and Dynamical Stability of Nonlinear Waves

    Todd Kapitula;Keith Promislow

  • Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations

    Todd Kapitula;Björn Sandstede

  • Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems

    Todd Kapitula;Panayotis G. Kevrekidis;Björn Sandstede

  • On the spectra of periodic waves for infinite-dimensional Hamiltonian systems

    Mariana Haˇraˇguş;Todd Kapitula

  • Stability of travelling waves for non-convex scalar viscous conservation laws

    Christopher K. R. T. Jones;Robert Gardner;Todd Kapitula

  • Multidimensional stability of planar travelling waves

    Todd Kapitula;Todd Kapitula

  • On the Stability of Traveling Waves in Weighted L∞ Spaces

    T. Kapitula

  • The Evans function for nonlocal equations

    Todd Kapitula;Nathan Kutz;Björn Sandstede

  • Stability of waves in discrete systems

    Todd Kapitula;Panayotis Kevrekidis

  • The Evans function and generalized Melnikov integrals

    Todd Kapitula

  • Stability of pulses in the master mode-locking equation

    Todd Kapitula;J. Nathan Kutz;Björn Sandstede

  • On the stability of N-solitons in integrable systems

    Todd Kapitula

  • Stability of multiple pulses in discrete systems.

    Kapitula T;Kevrekidis Pg;Malomed Ba

  • An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type

    Jared C. Bronski;Mathew A. Johnson;Todd Kapitula

  • EDGE BIFURCATIONS FOR NEAR INTEGRABLE SYSTEMS VIA EVANS FUNCTION TECHNIQUES

    Todd Kapitula;Björn Sandstede

  • Instability mechanism for bright solitary-wave solutions to the cubic–quintic Ginzburg–Landau equation

    Todd Kapitula;Björn Sandstede

  • Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells

    Todd Kapitula;Panayotis G. Kevrekidis;Zhigang Chen

  • Stability criterion for bright solitary waves of the perturbed cubic-quintic Schro¨dinger equation

    Todd Kapitula

  • Eigenvalues and resonances using the Evans function

    Todd Kapitula;Björn Sandstede

  • The orbital stability of the cnoidal waves of the Korteweg-de Vries equation

    Bernard Deconinck;Todd Kapitula

  • Stability indices for constrained self-adjoint operators

    Todd Kapitula;Keith Promislow

Frequent Co-Authors

Panayotis G. Kevrekidis
Panayotis G. Kevrekidis University of Massachusetts Amherst
Björn Sandstede
Björn Sandstede Brown University
Christopher K. R. T. Jones
Christopher K. R. T. Jones University of North Carolina at Chapel Hill
Jonathan E. Rubin
Jonathan E. Rubin University of Pittsburgh
Zhigang Chen
Zhigang Chen Nankai University
Boris A. Malomed
Boris A. Malomed Tel Aviv University
Ricardo Carretero-González
Ricardo Carretero-González San Diego State University
J. Nathan Kutz
J. Nathan Kutz University of Washington
Dimitri J. Frantzeskakis
Dimitri J. Frantzeskakis National and Kapodistrian University of Athens

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