| Publication | Date of Publication | Type |
|---|
| Pattern formation of elliptic particles by two-body interactions: a model for dynamics of endothelial cells in angiogenesis | 2022-11-09 | Paper |
| Pattern formation of vascular network in a mathematical model of angiogenesis | 2022-01-21 | Paper |
| Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice | 2021-11-08 | Paper |
| Rule 184 fuzzy cellular automaton as a mathematical model for traffic flow | 2021-08-04 | Paper |
| Algebraic entropy of a multi-term recurrence of the Hietarinta-Viallet type | 2021-02-01 | Paper |
| The space of initial conditions and the property of an almost good reduction in discrete Painlevé II equations over finite fields | 2019-08-29 | Paper |
| Nonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation—investigation into their extended Laurent properties | 2018-10-16 | Paper |
| Toda type equations over multi-dimensional lattices | 2018-10-16 | Paper |
| On the coprimeness property of discrete systems without the irreducibility condition | 2018-07-24 | Paper |
| A two-dimensional lattice equation as an extension of the Heideman–Hogan recurrence | 2018-05-25 | Paper |
| Integrate and fire model with refractory period for synchronization of two cardiomyocytes | 2018-05-24 | Paper |
| Coprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equation | 2017-02-13 | Paper |
| A Discrete Mathematical Model for Angiogenesis | 2016-11-30 | Paper |
| Singularity confinement and chaos in two-dimensional discrete systems | 2016-08-09 | Paper |
| Graphs emerging from the solutions to the periodic discrete Toda equation over finite fields | 2015-11-14 | Paper |
| Algebraic entropy of an extended Hietarinta–Viallet equation | 2015-10-28 | Paper |
| Integrability criterion in terms of coprime property for the discrete Toda equation | 2015-03-13 | Paper |
| Irreducibility and co-primeness as an integrability criterion for discrete equations | 2014-12-16 | Paper |
| Discrete Painleve equations and discrete KdV equation over finite fields | 2014-07-09 | Paper |
| Singularities of the discrete KdV equation and the Laurent property | 2014-03-28 | Paper |
| Discrete integrable equations over finite fields | 2013-07-04 | Paper |
| Discrete Painlevé II equation over finite fields | 2012-11-02 | Paper |
| Direct ultradiscretization of Ai and Bi functions and special solutions for the Painlevé II equation | 2012-05-07 | Paper |
| Soliton solutions of a generalized discrete KdV equation | 2012-02-18 | Paper |
| Existence and non-existence of global solutions for a discrete semilinear heat equation | 2011-10-10 | Paper |
| Two point correlation functions for a periodic box-ball system | 2011-06-17 | Paper |
| Conserved quantities and generalized solutions of the ultradiscrete KdV equation | 2011-04-29 | Paper |
| Error estimation of recursive orthogonal polynomial expansion method for large Hamiltonian system | 2010-10-18 | Paper |
| Modelling the morphology of migrating bacterial colonies | 2010-08-19 | Paper |
| Correlation functions for a periodic box–ball system | 2010-04-21 | Paper |
| Solution to the initial value problem of the ultradiscrete periodic Toda equation | 2009-12-01 | Paper |
| The box–ball system and theN-soliton solution of the ultradiscrete KdV equation | 2008-05-14 | Paper |
| Ultradiscretization of the theta function solution of pd Toda | 2007-11-12 | Paper |
| Nonautonomous discrete integrable systems | 2007-08-06 | Paper |
| The exact correspondence between conserved quantities of a periodic box-ball system and string solutions of the Bethe ansatz equations | 2007-05-16 | Paper |
| On the initial value problem of a periodic box-ball system | 2007-02-02 | Paper |
| Exact solution and asymptotic behaviour of the asymmetric simple exclusion process on a ring | 2006-08-17 | Paper |
| Fundamental cycle of a periodic box–ball system and solvable lattice models | 2006-05-22 | Paper |
| Analytical study on the criticality of the stochastic optimal velocity model | 2006-04-19 | Paper |
| FUNDAMENTAL CYCLE OF A PERIODIC BOX-BALL SYSTEM: A NUMBER THEORETICAL ASPECT | 2005-09-28 | Paper |
| Path description of conserved quantities of generalized periodic box-ball systems | 2005-06-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4661956 | 2005-03-30 | Paper |
| Differential Equations for Creating Complex Cellular Automaton Patterns | 2005-03-21 | Paper |
| Conserved quantities of generalized periodic box–ball systems constructed from the ndKP equation | 2005-01-19 | Paper |
| From cellular automaton to difference equation: a general transformation method which preserves time evolution patterns | 2004-09-10 | Paper |
| On a periodic soliton cellular automaton | 2004-06-09 | Paper |
| Fundamental cycle of a periodic box ball system | 2004-06-09 | Paper |
| From the continuous PV to discrete Painlev$eacute$ equations | 2004-06-09 | Paper |
| Asymptotic behaviour of fundamental cycle of periodic box–ball systems | 2004-06-09 | Paper |
| Initial-value problem of the discrete periodic Toda equation and its ultradiscretization | 2003-10-21 | Paper |
| Conserved quantities of box and ball system | 2002-04-10 | Paper |
| Stable difference equations associated with elementary cellular automata | 2001-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2742637 | 2001-09-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2725832 | 2001-07-12 | Paper |
| Box and ball system as a realization of ultradiscrete nonautonomous KP equation | 2000-08-13 | Paper |
| Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization | 2000-03-16 | Paper |
| Ultra-discrete Toda molecule equation. | 2000-03-08 | Paper |
| Quadrilateral lattices and eigenfunction potentials for \(N\)-component KP hierarchies | 2000-03-08 | Paper |
| On special function solutions to nonlinear integrable equations | 2000-03-07 | Paper |
| Toda-type cellular automaton and its \(N\)-soliton solution | 2000-03-07 | Paper |
| Two-dimensional soliton cellular automaton of deautonomized Toda-type. | 2000-03-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4703093 | 1999-12-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4704156 | 1999-12-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4704157 | 1999-12-02 | Paper |
| Constructing solutions to the ultradiscrete Painlevé equations | 1999-08-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4250135 | 1999-06-17 | Paper |
| The fermionic approach to Darboux transformations | 1998-11-18 | Paper |
| Darboux and binary Darboux transformations for the nonautonomous discrete KP equation | 1998-11-01 | Paper |
| The Toda molecule equation and the 𝜖-algorithm | 1998-09-10 | Paper |
