Hidden attractor. Localization problem
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EFREM, Raluca. Hidden attractor. Localization problem. In: Conference on Applied and Industrial Mathematics: CAIM 2017, 14-17 septembrie 2017, Iași. Chișinău: Casa Editorial-Poligrafică „Bons Offices”, 2017, Ediţia 25, p. 17. ISBN 978-9975-76-247-2.
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Conference on Applied and Industrial Mathematics
Ediţia 25, 2017
Conferința "Conference on Applied and Industrial Mathematics"
Iași, Romania, 14-17 septembrie 2017

Hidden attractor. Localization problem


Pag. 17-17

Efrem Raluca
 
University of Craiova
 
 
Disponibil în IBN: 22 septembrie 2022


Rezumat

The classification of attractors, from a computational point of view, can be made using as a criterion the simplicity of detection their basin of attraction. Taking into account this classi cation criterion, recently a concept of hidden and self-excited attractors was proposed. An attractor is called a hidden attractor if its basin of attraction does not intersect with small neighborhoods of equilibria, otherwise it is called a self-excited attractor. Self-excited attractors can be localized numerically by a standard computational procedure, in which after a transient process a trajectory, starting from a point of unstable manifold in a neighborhood of unstable equilibrium, is attracted to the state of oscillation and traces it. For localization of hidden attractors it is necessary to develop special procedures, since there are no similar transient processes leading to such attractors. This survey is dedicated to ecient methods for the study of hidden attractors.