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Are Perpetual Points Sufficient for Locating Hidden Attractors?
International Journal of Bifurcation and Chaos, 2017Perpetual 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
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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
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
2017Previous 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
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Regions of Attraction for Two Hidden Attractors
2019 IEEE International Conference on Modern Electrical and Energy Systems (MEES), 2019Paper 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
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Memristive non-linear system and hidden attractor
The European Physical Journal Special Topics, 2015Effects 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
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Physica A: Statistical Mechanics and its Applications, 2023
Chengwei Dong +3 more
semanticscholar +1 more source
Chengwei Dong +3 more
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HIDDEN ATTRACTOR IN CHUA’S CIRCUITS
Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, 2011Kuznetsov Nikolay +3 more
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Generating Multi-Wing Hidden Hyperchaotic Attractors With a Single Stable Equilibrium
IEEE Transactions on Circuits and Systems - II - Express BriefsMulti-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, 2022Isaac Sami Doubla +4 more
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