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Least fractional order memristor nonlinearity to exhibits chaos in a hidden hyperchaotic system
Fractional Calculus and Applied Analysis. 2024. Vol. 27. P. 2502–2520.
In this article, we present least fractional nonlinearity for exhibiting chaos in a memristor-based hyper-chaotic multi-stable hidden system. When implementing memristor-based systems, distinct dimensions/order define the memristor nonlinearity. In this work, the memristor dimension has been changed fractionally to identify the lowest order of nonlinearity required to induce chaos in a proposed system. The two-parameter frequency scanning helps in understanding both oscillation and nonoscillation regimes. The system fractional nonlinearity strength will help in deeper understanding of mathematical modelling and control. In addition, multistability and hidden oscillations were thoroughly investigated in the proposed system. The current work combines analytical, numerical, and experimental methods to demonstrate the system dynamics
Language:
English
Keywords: multistabilityhidden attractorMemristor emulatorFractional order memristorLeast order memristor
Publication based on the results of:
Богатырев А. Б., Математический сборник 2023 Т. 214 № 3 С. 106–119
Рассматривается клеточное разбиение пространства модулей вещественных кривых рода 2 с отмеченной точкой на единственном вещественном овале. Клетки перечисляются определенными графами, веса которых описывают комплексную структуру на кривой. Показано, что стягивание ребра графа приводит к корневой особенности естественного отображения из весов графа в пространство модулей кривых. ...
Added: August 14, 2026
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Added: August 14, 2026
Богатырев А. Б., Transactions of the Moscow Mathematical Society 2024 Vol. 85 No. 2 P. 323–337
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Added: August 14, 2026
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Added: August 14, 2026
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Added: August 13, 2026
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Added: August 13, 2026
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Мизинов П. В., Journal of Computer Virology and Hacking Techniques 2023 No. 20 P. 383–396
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Added: August 11, 2026
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Added: August 11, 2026
Междуреченск: Кузбасский государственный технический университет им. Т.Ф. Горбачева, 2026.
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Added: August 11, 2026
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Added: August 8, 2026
Kulev Y., Maksaev A., Promyslov V., Linear Algebra and its Applications 2026 Vol. 730 P. 51–72
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Added: August 7, 2026
Kanunnikov A., Promyslov V., Vassilieva E., Electronic Journal of Combinatorics 2024 Vol. 31 No. 3 Article P3.6
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hypermap-Jack conjecture (also known as the b-conjecture) are two major open questions relating Jack symmetric functions, the representation theory of the symmetric groups and combinatorial maps. They show that the coefficients in the power sum expansion of some Cauchy sum for ...
Added: August 7, 2026
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The inclusion of autistic people can be augmented by a mobile app that provides information without a human mediator making information perception more liberating for people in the spectrum. This paper is an overview of a doctoral work dedicated to the development of a web-based mobile tool for supporting the inclusion of people on the ...
Added: August 4, 2026
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Added: August 4, 2026
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Hyperbolic hypergeometric integrals are defined as Barnes-type integrals of products of hyperbolic gamma functions. Their reduction to ordinary hypergeometric functions is well known. We study in detail their degeneration to complex hypergeometric functions. Namely, using uniform bounds on the integrands, we prove that the univariate hyperbolic beta integral and the conical function degenerate to two-dimensional ...
Added: August 4, 2026
Горюнов О. А., Соловьев И. А., Klinshov V., Proceedings of 2025 9th Scientific School Dynamics of Complex Networks and their Applications (DCNA), Publisher IEEE, Electronic ISSN: 2770-744X Print on Demand(PoD) ISSN: 2770-7431 2025 P. 42–44
—In modern machine learning, the efficiency of train ing is heavily influenced by the choice of optimization algorithm, with preconditioned methods offering significant speed improve ments at the cost of increased memory usage. This study explores the trade-off between memory consumption and optimization performance by generalizing the Shampoo preconditioning al gorithm to support arbitrarily sized ...
Added: November 12, 2025
Stankevich N., Physica D: Nonlinear Phenomena 2025 Vol. 483 Article 134974
We study the structure of bifurcation lines of the equilibrium state and limit cycles depending on the parameters in a three-dimensional oscillator demonstrating autonomous quasi-periodic oscillations. It is shown that soft and hard birth of a stable invariant torus is possible. The birth of a torus in a hard way can occur from a stable ...
Added: October 16, 2025
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We study different types of multistability in the neuron model with discrete time - the Chialvo map. Multistability of the first type corresponds to the case when resonant and non-resonant invariant curve coexist in phase space. For another parameters of the model we have found coexistence between invariant curve and chaos. We analyze mechanisms of ...
Added: December 1, 2024
S. S. Gavrilov, N. N. Ipatov, V. D. Kulakovskii, JETP Letters 2023 Vol. 118 No. 9 P. 637–643
The spin properties of exciton polaritons in a micropillar cavity placed in a static magnetic field and excited by a resonant light wave are studied theoretically. Owing to the Zeeman effect, a nonlinear polariton system has two branches of optical response that are characterized by opposite circular polarizations. An indirect mechanism of polarization reversal is ...
Added: March 15, 2024
Bhagyaraj T., S. Sabarathinam, Viktor Popov et al., International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2023 Vol. 33 No. 11 Article 2350130
In the manuscript, we report the dynamics of the Takagi–Sugeno (T–S) fuzzy memristor-based hidden system via sampled-data control. For an open-loop formulation, the system dynamics are studied. We found extreme events, hidden attractors, and trivial period doubling scenarios and confirmed them through numerical, analytical, statistical and experimental analyses. Furthermore, to enable stability analysis and control ...
Added: September 22, 2023