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4 papers
Integration of Third Order Ordinary Differential Equations Possessing Two-Parameter Symmetry Group by Lie's Method
Mladen Nikolic, Milan Rajkovic
The solution of a class of third order ordinary differential equations possessing two parameter Lie symmetry group is obtained by group theoretic means. It is shown that reduction…
The Role of Three-dimensional Subalgebra in the Analysis of Hidden Symmetries of Differential Equations
Mladen Nikolic, Milan Rajkovic
Some new properties of symmetries that disappear as point symmetries after the first reduction of order of an ODE and reappear after the second are analyzed from the aspect of thre…
Synchronous Cooperative Parrondo's Games
Zoran Mihailovic, Milan Rajkovic
Inspired by asynchronous cooperative Parrondo's games we introduce two new types of games in which all players simultaneously play game A or game B or a combination of these two ga…
One Dimensional Asynchronous Cooperative Parrondo's Games
Zoran Mihailovic, Milan Rajkovic
An analytical result and an algorithm are derived for the probability distribution of the one-dimensional cooperative Parrondo's games. We show that winning and the occurrence of t…