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Hidden attractor and regions of attraction

2017 27th International Conference Radioelektronika (RADIOELEKTRONIKA), 2017
This article introduced regions of attraction for new phenomenon in the field of chaotic systems: hidden attractor. Furthermore gives an answer to the question about the size of regions of attraction for stable equilibrium, hidden attractor and solutions of differential equations leading to infinity.
Michal Hlavacka, Milan Guzan
openaire   +1 more source

Are Perpetual Points Sufficient for Locating Hidden Attractors?

International Journal of Bifurcation and Chaos, 2017
Perpetual Points (PPs) have been introduced as an interesting new topic in nonlinear dynamics, and there is a conjecture that these points can be used to find hidden attractors. This note demonstrates some examples where PPs cannot locate their hidden attractors.
Nazarimehr, Fahimeh   +3 more
openaire   +2 more sources

Synchronization of Systems with Hidden Attractors

2017
Previous research has established that synchronization is important in nature as well as in engineering applications. Synchronization is a universal phenomenon and is observed in various areas from physics, biology to economics, etc. Recent developments in nonlinear dynamics have heightened the need for synchronizing systems.
Viet-Thanh Pham   +2 more
openaire   +1 more source

Regions of Attraction for Two Hidden Attractors

2019 IEEE International Conference on Modern Electrical and Energy Systems (MEES), 2019
Paper presents the regions of attraction of two hidden attractors occurring in the dimensionless model of the Chua’s circuit. For a long time it was thought that there is no attractor in the system; later, only one, so-called hidden attractor was discovered. In fact there are up to two hidden attractors close together.
Milan Guzan   +2 more
openaire   +1 more source

Evolutionary identification of hidden chaotic attractors

Engineering Applications of Artificial Intelligence, 2016
In this participation we discuss the possibility of mutual fusion of evolutionary algorithms and deterministic chaos. As demonstrated in previous research papers, evolutionary algorithms are capable of chaotic system control, identification or synthesis and vice versa, chaos can be observed in the evolutionary dynamics.
openaire   +1 more source

Memristive non-linear system and hidden attractor

The European Physical Journal Special Topics, 2015
Effects of memristor on non-linear dynamical systems exhibiting chaos are analysed both form the view point of theory and experiment. It is observed that the memristive system has always fewer number of fixed points than the original one. Sometimes there is no fixed point in the memristive system. But its chaotic properties are retained.
P. Saha   +3 more
openaire   +1 more source

HIDDEN ATTRACTOR IN CHUA’S CIRCUITS

Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, 2011
Kuznetsov Nikolay   +3 more
openaire   +2 more sources

“Connecting surfaces” can locate hidden attractors

The European Physical Journal Plus, 2023
Wanye Song   +3 more
openaire   +1 more source

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