Hyperchaotic memristive system with hidden attractors and its adaptive control scheme
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3758-9
Abstract: In this research work a novel 4-D memristive system is presented. The proposed system belongs to the category of dynamical systems with hidden attractors as it displays a line of equilibrium points. Also, it has… read more here.
Keywords: hyperchaotic memristive; adaptive control; system; control ... See more keywords
Dynamics, periodic orbits of a novel four-dimensional hyperchaotic system with hidden attractors
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad61cc
Abstract: In recent years, the investigation of systems featuring hidden attractors and coexisting attractors has garnered significant attention. This paper presents a novel four-dimensional (4D) hyperchaotic system devoid of equilibrium points, achieved by formulating an equation… read more here.
Keywords: system; hyperchaotic system; dimensional hyperchaotic; novel four ... See more keywords
A novel method for extending multi-scroll hidden attractors in multiple directions
Sign Up to like & getrecommendations! Published in 2025 at "Physica Scripta"
DOI: 10.1088/1402-4896/ade2ad
Abstract: Multi-scroll chaotic system exhibits unique dynamic characteristics and rich nonlinear performances, presenting broad application prospects in numerous fields such as signal processing and secure communication. In this paper, a nonlinear function with piecewise linear characteristics… read more here.
Keywords: attractors multiple; scroll hidden; multi scroll; nonlinear function ... See more keywords
A fractional-order chemical chaotic system with hidden attractors and its dynamics analysis
Sign Up to like & getrecommendations! Published in 2025 at "Physica Scripta"
DOI: 10.1088/1402-4896/ae1eb3
Abstract: A three-dimensional fractional-order chemical chaotic system with hidden attractors is constructed in this paper. The model is constructed based on chemical mechanisms including cooperative catalysis and slow-fast reactions, while preserving the fundamental dynamical characteristics of… read more here.
Keywords: system; order chemical; fractional order; hidden attractors ... See more keywords
A Chaotic Circuit With Hidden Attractors and Extreme Event
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3208569
Abstract: Here, a chaotic quadratic system is presented. The chaotic attractor of the oscillator is studied. It has a stable equilibrium point for most of the studied interval of its parameter. So, its chaotic attractor in… read more here.
Keywords: extreme event; circuit hidden; hidden attractors; circuit ... See more keywords
Generating Any Number of Diversified Hidden Attractors via Memristor Coupling
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Circuits and Systems I: Regular Papers"
DOI: 10.1109/tcsi.2021.3115662
Abstract: Memristors are widely used to construct multi-scroll/wing chaotic systems with complex dynamics. However, the generation of a multi-scroll/wing attractor is typically not induced by the memristor but depends on other nonlinear functions in the system,… read more here.
Keywords: multi; memristor coupling; hidden attractors; number ... See more keywords
Hybrid Projective Synchronization of Fractional-Order Extended Hindmarsh-Rose Neurons with Hidden Attractors
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12020157
Abstract: In view of the diversity of stimulated current that neurons may experience, an extended Hindmarsh–Rose neuron model is proposed and the corresponding fractional-order neuron model, with no equilibrium point, is depicted. Additionally, various hidden attractors… read more here.
Keywords: extended hindmarsh; hindmarsh rose; fractional order; hidden attractors ... See more keywords
Fuzzy Synchronization of Chaotic Systems with Hidden Attractors
Sign Up to like & getrecommendations! Published in 2023 at "Entropy"
DOI: 10.3390/e25030495
Abstract: Chaotic systems are hard to synchronize, and no general solution exists. The presence of hidden attractors makes finding a solution particularly elusive. Successful synchronization critically depends on the control strategy, which must be carefully chosen… read more here.
Keywords: systems hidden; fuzzy synchronization; numerical integration; hidden attractors ... See more keywords