Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems
Onitsuka, Masakazu ; Tanaka, Satoshi
Mathematical Communications, Tome 22 (2017) no. 1, p. 43-60 / Harvested from Mathematical Communications
Text on Mathematical Communications
A class of two-dimensional linear differential system is considered. The box-counting dimension of the graphs of solution curves is calculated. Criteria to obtain the box-counting dimension of spirals are also established.
Publié le : 2017-11-25
Classification:  linear system; box-counting dimension; spiral,  34A30; 37C45; 28A80 
@article{mc2334,
     author = {Onitsuka, Masakazu and Tanaka, Satoshi},
     title = {Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems},
     journal = {Mathematical Communications},
     volume = {22},
     number = {1},
     year = {2017},
     pages = { 43-60},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc2334}
}

Onitsuka, Masakazu; Tanaka, Satoshi. Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems. Mathematical Communications, Tome 22 (2017) no. 1, pp.  43-60. http://gdmltest.u-ga.fr/item/mc2334/