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Title: The Dynamics of a Hybrid Chaotic System
Authors: Ramos, Carlos
Santos, Ana Isabel
Vinagre, Sandra
Editors: Pinelas, Sandra
Graef, John R.
Hilger, Stefan
Kloeden, Peter
Schinas, Christos
Issue Date: 2020
Publisher: Springer
Citation: C.C. Ramos, A.I. Santos and S. Vinagre, (2020), The Dynamics of a Hybrid Chaotic System, In: S. Pinelas, J.R. Garef, S. Hilger, P. Kloeden and C. Schinas (eds), International Conference on Differential and Difference Equations with Applications 2019, Springer Proceedings in Mathematics & Statistics, vol. 333, Springer, 669-680.
Abstract: We consider a forced damped piecewise linear oscillator whose motion is modeled by the second-order non-autonomous differential equation. Our hybrid chaotic system has a continuous regime, where the time flow is characterized by the explicit solutions of the ordinary differential equations, and a singular regime, where the time flow is characterized by an appropriate transformation linking the explicit solutions from one domain to the other. The purpose of this work is to study the complex behaviour of the system, namely the dependence on initial conditions and parameter variation.
ISBN: 978-3-030-56322-6
Type: article
Appears in Collections:MAT - Artigos em Livros de Actas/Proceedings
CIMA - Artigos em Livros de Actas/Proceedings

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