کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
759293 | 896471 | 2012 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The explosive divergence in iterative maps of matrices The explosive divergence in iterative maps of matrices](/preview/png/759293.png)
The effect of explosive divergence in generalized iterative maps of matrices is defined and described using formal algebraic techniques. It is shown that the effect of explosive divergence can be observed in an iterative map of square matrices of order 2 if and only if the matrix of initial conditions is a nilpotent matrix and the Lyapunov exponent of the corresponding scalar iterative map is greater than zero. Computational experiments with the logistic map and the circle map are used to illustrate the effect of explosive divergence occurring in iterative maps of matrices.
► The effect of explosive divergence is explored in iterative maps of matrices.
► This effect is described using formal algebraic techniques.
► Computational experiments are used to illustrate theoretical results.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 11, November 2012, Pages 4430–4438