Ramos, Carlos and Santos, Ana and Vinagre, Sandra (2016) Symbolic Dynamics Generated by a Hybrid Chaotic Systems. British Journal of Mathematics & Computer Science, 18 (2). pp. 1-12. ISSN 22310851
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Abstract
We consider piecewise defined differential dynamical systems which can be analysed through symbolic dynamics and transition matrices. We have a continuous regime, where the time flow is characterized by an ordinary differential equation (ODE) which has explicit solutions, and the singular regime, where the time flow is characterized by an appropriate transformation. The symbolic codification is given through the association of a symbol for each distinct regular system and singular system. The transition matrices are then determined as linear approximations to the symbolic dynamics. We analyse the dependence on initial conditions, parameter variation and the occurrence of global strange attractors.
Item Type: | Article |
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Subjects: | Open Library Press > Mathematical Science |
Depositing User: | Unnamed user with email support@openlibrarypress.com |
Date Deposited: | 30 May 2023 04:08 |
Last Modified: | 30 May 2023 04:08 |
URI: | https://openlibrarypress.com/id/eprint/1475 |