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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

Generating Multiwing Hidden Chaotic Attractors With Only Stable Node-Foci: Analysis, Implementation, and Application

IEEE transactions on industrial electronics (1982. Print)
Based on Shil'nikov criterion, i.e., extending the number of unstable saddle-focus-type equilibria of chaotic system, a rich and varied multiwing chaos with complicated topology and remarkable pseudorandomness has been coined.
Yan Yang   +4 more
semanticscholar   +1 more source

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

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

Dynamics investigation and chaos-based application of a novel no-equilibrium system with coexisting hidden attractors

Physica A: Statistical Mechanics and its Applications, 2023
Chengwei Dong   +3 more
semanticscholar   +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

Generating Multi-Wing Hidden Hyperchaotic Attractors With a Single Stable Equilibrium

IEEE Transactions on Circuits and Systems - II - Express Briefs
Multi-wing hyperchaotic systems with hidden attractors are recognized having advantages in certain aspects of complexity and unpredictability. However, for the hyperchaotic system with a single stable equilibrium point, the generated hidden attractor ...
Yan Yang   +4 more
semanticscholar   +1 more source

Infinitely many coexisting hidden attractors in a new hyperbolic-type memristor-based HNN

The European Physical Journal Special Topics, 2022
Isaac Sami Doubla   +4 more
semanticscholar   +1 more source

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