Till D. Frank

Publication Activity (10 Years)

Years Active: 2005-2023
Publications (10 Years): 7

Top Topics

Dynamical Systems

Differential Equations

Top Venues

Int. J. Bifurc. Chaos

Math. Comput. Simul.

Publications

Till D. Frank
Eigenvalue analysis of SARS-CoV-2 viral load data: illustration for eight COVID-19 patients. Int. J. Data Sci. Anal. 15 (3) (2023)
Till D. Frank
Simplicity from Complexity: on the Simple amplitude dynamics underlying CoViD-19 Outbreaks in China. Adv. Complex Syst. 23 (8) (2020)
Till D. Frank, S. Mongkolsakulvong
Amplitude Equations and Bifurcation Diagrams for Multifrequency Synchronization of Canonical-Dissipative Oscillators. Int. J. Bifurc. Chaos 30 (7) (2020)
Ralf F. A. Cox, Ruud J. R. Den Hartigh, Michael J. Richardson, Chen Yu, Till D. Frank
Complex Dynamical Systems in Human Development. Complex. 2019 (2019)
Maurici A. López-Felip, Tehran J. Davis, Till D. Frank
Synchronization Assessment for Collective Behavior. CogSci (2017)
Till D. Frank
Active and Purely Dissipative Nambu Systems in General Thermostatistical Settings Described by Nonlinear Partial Differential Equations Involving Generalized Entropy Measures. Entropy 19 (1) (2017)
Till D. Frank
Formal Derivation of Lotka-Volterra-Haken Amplitude Equations of Task-Related Brain Activity in Multiple, Consecutively Performed Tasks. Int. J. Bifurc. Chaos 26 (10) (2016)
S. Kim, J. M. Gordon, Till D. Frank
Nonequilibrium Thermodynamic State Variables of Human Self-Paced Rhythmic Motions: Canonical-Dissipative Approach, Augmented Langevin Equation, and Entropy Maximization. Open Syst. Inf. Dyn. 22 (1) (2015)
D. G. Dotov, S. Kim, Till D. Frank
Non-equilibrium thermodynamical description of rhythmic motion patterns of active systems: A canonical-dissipative approach. Biosyst. 128 (2015)
Mohammad Abdolvahab, Claudia Carello, Carla M. A. Pinto, Michael T. Turvey, Till D. Frank
Symmetry and order parameter dynamics of the human odometer. Biol. Cybern. 109 (1) (2015)
Till D. Frank
Decision-Making in Physical Intelligent Systems Regulated by Growth Rate Factors. Comput. Inf. Sci. 7 (4) (2014)
Till D. Frank
Secondary Bifurcations in a Lotka-Volterra Model for N Competitors with Applications to Action Selection and Compulsive Behaviors. Int. J. Bifurc. Chaos 24 (12) (2014)
Till D. Frank, T. D. Gifford, S. Chiangga
Minimalistic model for navigation of mobile robots around obstacles based on complex-number calculus and inspired by human navigation behavior. Math. Comput. Simul. 97 (2014)
Till D. Frank
A limit cycle oscillator model for cycling mood variations of bipolar disorder patients derived from cellular biochemical reaction equations. Commun. Nonlinear Sci. Numer. Simul. 18 (8) (2013)
Till D. Frank, Julia J. C. Blau, Michael T. Turvey
Symmetry Breaking Analysis of Prism Adaptation's Latent Aftereffect. Cogn. Sci. 36 (4) (2012)
Klot Patanarapeelert, Till D. Frank, I. M. Tang
From a cellular automaton model of tumor-immune interactions to its macroscopic dynamical equation: A drift-diffusion data analysis approach. Math. Comput. Model. 53 (1-2) (2011)
Till D. Frank, M. Michelbrink, Hendrik Beckmann, Wolfgang I. Schöllhorn
A quantitative dynamical systems approach to differential learning: self-organization principle and order parameter equations. Biol. Cybern. 98 (1) (2008)
Till D. Frank
Modelling the stochastic single particle dynamics of relativistic fermions and bosons using nonlinear drift-diffusion equations. Math. Comput. Model. 42 (9-10) (2005)