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The journal provides a place to researchers for the rapid exchange of ideas and techniques in discontinuity, complexity, nonlinearity and chaos in physical and social sciences.
Discontinuity, Nonlinearity, and Complexity, 3 (3), 303-318, DOI:10.5890/DNC.2014.09.007. The interdisciplinary journal publishes original and new results on recent developments, discoveries and progresses on Discontinuity, Nonlinearity and Complexity in physical and social sciences.
The journal provides a place to researchers for the rapid exchange of ideas and techniques in discontinuity, complexity, nonlinearity and chaos in physical and social sciences. No length limitations for contributions are set, but only concisely written manuscripts are published.
1 Ιουλ 2018 · Request PDF | Discontinuity, Nonlinearity, and Complexity, Vol.7, No.2 | The interdisciplinary journal publishes original and new results on recent developments, discoveries and...
Dmitry V. Kovalevsky, et al. / Discontinuity, Nonlinearity, and Complexity 6(3) (2017) 219–245 221 The key problem with this earlier approach was that APoLUS actors were by nature static – their behaviour remained stationary throughout model runtime. This makes the model rather unrealistic since actor behaviour
In our paper we assume that the solutions of the R,n×n, equation are continuous functions. But the deviating function g(t) is discontinuous.
˙x = xμ−w0y+(a x−by) (x2 +y2)+O(5), (1) ˙y = yμ+w0x+(a y+bx) (x2 +y2)+O(5), (2) where x and y are dynamical variables, μis a control parameter, a, b and w0 are constants. Here the term O(5) represents the higher-order term of the type x k1 and y 2 with k1 +k2 = 5. The following lemma is proved in Appendix this paper.
