Till D. Frank

According to our database, Till D. Frank authored at least 20 papers between 2005 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

Amplitude equations and order parameters of Human SARS-COV-2 Infections and Immune reactions: a Model-based Approach.

Till D. Frank

Adv. Complex Syst., 2024

2023

Eigenvalue analysis of SARS-CoV-2 viral load data: illustration for eight COVID-19 patients.

Till D. Frank

Int. J. Data Sci. Anal., April, 2023

2020

Amplitude Equations and Bifurcation Diagrams for Multifrequency Synchronization of Canonical-Dissipative Oscillators.

Till D. Frank, S. Mongkolsakulvong

Int. J. Bifurc. Chaos, 2020

Simplicity from Complexity: on the Simple amplitude dynamics underlying CoViD-19 Outbreaks in China.

Till D. Frank

Adv. Complex Syst., 2020

2019

Complex Dynamical Systems in Human Development.

Ralf F. A. Cox, Ruud J. R. Den Hartigh, Michael J. Richardson, Chen Yu, Till D. Frank

Complex., 2019

2017

Active and Purely Dissipative Nambu Systems in General Thermostatistical Settings Described by Nonlinear Partial Differential Equations Involving Generalized Entropy Measures.

Till D. Frank

Entropy, 2017

Synchronization Assessment for Collective Behavior.

Maurici A. López-Felip, Tehran J. Davis, Till D. Frank

Proceedings of the 39th Annual Meeting of the Cognitive Science Society, 2017

2016

Formal Derivation of Lotka-Volterra-Haken Amplitude Equations of Task-Related Brain Activity in Multiple, Consecutively Performed Tasks.

Till D. Frank

Int. J. Bifurc. Chaos, 2016

2015

Nonequilibrium Thermodynamic State Variables of Human Self-Paced Rhythmic Motions: Canonical-Dissipative Approach, Augmented Langevin Equation, and Entropy Maximization.

S. Kim, J. M. Gordon, Till D. Frank

Open Syst. Inf. Dyn., 2015

Non-equilibrium thermodynamical description of rhythmic motion patterns of active systems: A canonical-dissipative approach.

Dobromir Dotov, S. Kim, Till D. Frank

Biosyst., 2015

Symmetry and order parameter dynamics of the human odometer.

Mohammad Abdolvahab, Claudia Carello, Carla M. A. Pinto, Michael T. Turvey, Till D. Frank

Biol. Cybern., 2015

2014

Minimalistic model for navigation of mobile robots around obstacles based on complex-number calculus and inspired by human navigation behavior.

Till D. Frank, T. D. Gifford, S. Chiangga

Math. Comput. Simul., 2014

Secondary Bifurcations in a Lotka-Volterra Model for N Competitors with Applications to Action Selection and Compulsive Behaviors.

Till D. Frank

Int. J. Bifurc. Chaos, 2014

Decision-Making in Physical Intelligent Systems Regulated by Growth Rate Factors.

Till D. Frank

Comput. Inf. Sci., 2014

2013

A limit cycle oscillator model for cycling mood variations of bipolar disorder patients derived from cellular biochemical reaction equations.

Till D. Frank

Commun. Nonlinear Sci. Numer. Simul., 2013

2012

Symmetry Breaking Analysis of Prism Adaptation's Latent Aftereffect.

Till D. Frank, Julia J. C. Blau, Michael T. Turvey

Cogn. Sci., 2012

2011

From a cellular automaton model of tumor-immune interactions to its macroscopic dynamical equation: A drift-diffusion data analysis approach.

Klot Patanarapeelert, Till D. Frank, I. M. Tang

Math. Comput. Model., 2011

2009

Linear and Non-linear Fokker-Planck Equations.

Till D. Frank

Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

2008

A quantitative dynamical systems approach to differential learning: self-organization principle and order parameter equations.

Till D. Frank, M. Michelbrink, Hendrik Beckmann, Wolfgang Immanuel Schöllhorn

Biol. Cybern., 2008

2005

Modelling the stochastic single particle dynamics of relativistic fermions and bosons using nonlinear drift-diffusion equations.

Till D. Frank

Math. Comput. Model., 2005