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Characteristic Analysis of Fractional-Order 4D Hyperchaotic Memristive Circuit
2017
Mathematical Problems in Engineering
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Dynamical behaviors of the 4D hyperchaotic memristive circuit are analyzed with the system parameter. ...
Results of this paper provide a theoretical and experimental basis for the application of fractional-order 4D hyperchaotic memristive circuit in the field of encryption and secure communication. ...
Acknowledgments This work supported by the National Natural Science Foundation of China (Grant nos. 61161006 and 61573383) and Provincial Natural Science Foundation of Liaoning (Grant no. 20170540060). ...
doi:10.1155/2017/2313768
fatcat:fwsdpx2crrdk3bw3pm6xchne3u
Dynamic Analysis and FPGA Implementation of a New, Simple 5D Memristive Hyperchaotic Sprott-C System
2023
Mathematics
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Finally, the hardware circuits of the 4D Sprott-C system and the 5D memristive hyperchaotic system were realized by a field programmable gate array (FPGA) and verified by an experiment. ...
In this paper, we first present a simple seven-term 4D hyperchaotic system based on the classical Sprott-C 3D chaotic system. ...
Acknowledgments: The authors thank the editors and reviewers for their hard work, who have made outstanding contributions to the improvement of the quality of this article! ...
doi:10.3390/math11030701
fatcat:jvrmijvirfdhneyugbiefhn6hi
Dynamic Analysis and Circuit Realization of a Novel No-Equilibrium 5D Memristive Hyperchaotic System with Hidden Extreme Multistability
2020
Complexity
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The system parameters-dependent and memristor initial conditions-dependent dynamical characteristics of the proposed memristive hyperchaotic system are investigated in terms of phase portrait, Lyapunov ...
In this paper, a novel no-equilibrium 5D memristive hyperchaotic system is proposed, which is achieved by introducing an ideal flux-controlled memristor model and two constant terms into an improved 4D ...
In Figure 5 6 Complexity state, and then turns into periodic state through reversed period-doubling bifurcation route. e hyperchaotic behavior with two positive LEs is mainly located in the region ...
doi:10.1155/2020/7106861
fatcat:yg22fh3z5zbenpg3ioiqbndnjy
Memory Circuit Elements: Complexity, Complex Systems, and Applications
2019
Complexity
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In the article "Fully Integrated Memristor and Its Application on Scroll-Controllable Hyperchaotic System" by J. Jin and C. ...
In the article "Analysis and Implementation of a New Switching Memristor Scroll Hyperchaotic System and Application in Secure Communication" by P. ...
In addition, the editors would like to thank the Complexity journal's Editorial Board for their valuable help and support regarding this special issue. ...
doi:10.1155/2019/4936123
fatcat:6y3ibm7yxfe2njlm6py72y4e64
NONSMOOTH BIFURCATIONS, TRANSIENT HYPERCHAOS AND HYPERCHAOTIC BEATS IN A MEMRISTIVE MURALI–LAKSHMANAN–CHUA CIRCUIT
2013
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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2013 pre-print arXiv:1303.3410v1 fatcat:ib6et3urxbhxpbxup3h5ov6iwq
In addition the circuit admits a codimension-5 bifurcation and transient hyper chaos. ...
While the interaction of the memristor aided self oscillations of the circuit and the external sinusoidal forcing result in the phenomenon of beats occurring in the circuit, grazing bifurcations endow ...
Srinivasan and Mr. P. Megavarna Ezhilarasu for discussions and collaboration.
Appendix: ZDM and PDM Corrections for Grazing Bifurcations ...
doi:10.1142/s0218127413500983
fatcat:zzww2junxbahrnkgtjdipzgfhu
Characteristic Analysis of Fractional-Order Memristor-Based Hypogenetic Jerk System and Its DSP Implementation
2021
Electronics
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The numerical solution of the system is derived based on the Adomian decomposition method (ADM), and its dynamic behaviors are analyzed by means of phase diagrams, bifurcation diagrams, Lyapunov exponent ...
In this paper, a fractional-order memristive model with infinite coexisting attractors is investigated. ...
is reflected in the complete bifurcation path of the system with changes in initial values. ...
doi:10.3390/electronics10070841
fatcat:5mv6wbdcg5ap3nlgk2kg36vv4y
Hyperchaotic Oscillation in the Deformed Rikitake Two-Disc Dynamo System Induced by Memory Effect
2020
Complexity
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Lyapunov exponents, bifurcation diagram, and phase portraits prove the abundant dynamic behavior consistently. ...
Hyperchaotic oscillation in the deformed Rikitake two-disk coupled generator is therefore firstly found. ...
Bifurcation diagram shown in
, when c ∈ [0, 1.9) ∪ [4.6, 8) ∪ [8.24, 10), system (4) is chaotic; when c ∈ [2.7, 4.6), system (4) is hyperchaotic; and when c∈ [1.9, 2.64) ∪ [8, 8.42), system (4) is periodic ...
doi:10.1155/2020/8418041
fatcat:s7vgo5nrx5frjhau6ncv4ddeeu
Secure Communication Scheme Based on a New 5D Multistable Four-Wing Memristive Hyperchaotic System with Disturbance Inputs
2020
Complexity
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By introducing a flux-controlled memristor model with absolute value function, a 5D multistable four-wing memristive hyperchaotic system (FWMHS) with linear equilibrium points is proposed in this paper ...
The dynamic characteristics of the system are studied in terms of equilibrium point, perpetual point, bifurcation diagram, Lyapunov exponential spectrum, phase portraits, and spectral entropy. ...
When 0 ≤ d ≤ 7.52, the system has two positive Lyapunov exponents and the system is in the hyperchaotic state; when 7.52 < d ≤ 10.1, the system is in the periodic state; when 10.1 < d ≤ 15, the system ...
doi:10.1155/2020/5859273
fatcat:x6stp3t4craqje36zk6aoswjuu
Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation
2021
Mathematical Problems in Engineering
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As a result, we show by using classical nonlinear dynamic tools like bifurcation diagrams, Lyapunov exponent plots, phase portraits, power density spectra graphs, time series, and basin of attraction that ...
the oscillator transition to chaos is operated by intermittency and interior crisis. ...
In this situation, chaos can appear and disappear to become periodic: this scenario is called transient chaos and it is very rare in dynamical systems. ...
doi:10.1155/2021/4820771
fatcat:ssbgqr5eorczrif2cldzdp7a7y
A Chaotic Oscillator Based on HP Memristor Model
2015
Mathematical Problems in Engineering
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This memristor-based oscillator can generate periodic, chaotic, and hyperchaotic signals under the periodic excitation and an appropriate set of circuit parameters. ...
Furthermore, some specialties including burst chaos, irregular periodic bifurcations, and nonintermittence chaos of the circuit are found by theoretical analysis and numerical simulations. ...
In particular, a novel phenomenon occurs at = 4.5, where a period 3 orbit and an irregular period bifurcation appear but without obvious period-doubling bifurcations. ...
doi:10.1155/2015/561901
fatcat:zgsy34ji5fbjzglg6om3nngqr4
Antimonotonicity and multistability in a fractional order memristive chaotic oscillator
2019
The European Physical Journal Special Topics
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Finally, the antimonotonicity property of the fractional order oscillator is discussed in detail with two control parameters. Such property has not been explored for fractional order systems before. a ...
Bifurcation diagrams are plotted which shows that the proposed oscillator exhibits multistability. ...
A time varying controller for the synchronization of hidden chaotic attractors has been proposed in [40] . Memristive chaotic and hyperchaotic systems have attracted lot of attentions [41, 42] . ...
doi:10.1140/epjst/e2019-800222-7
fatcat:7u2gsc4k3bauhnmqzrekzywlhe
Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit
2020
Complexity
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The dynamical behaviors include point attractor, period, chaos, coexisting bifurcation mode, period-doubling bifurcation route, and crisis scenarios, which are explored using some common dynamical methods ...
By coupling a diode bridge-based second-order memristor and an active voltage-controlled memristor with a capacitor, a three-element-based memristive circuit is synthesized and its system model is then ...
− η‖ds ≤ α‖ϕ − η‖. (15) erefore, by the contraction mapping principle, there is a unique fixed point ϕ residing in S, and that is the solution of system (11) . ...
doi:10.1155/2020/4624792
fatcat:x4ldgfazwbcujcwwfj2y2a766u
Special Fractional-Order Map and Its Realization
2022
Mathematics
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We study system dynamics for different values of the fractional orders by using bifurcation diagrams, phase portraits, Lyapunov exponents, and the 0–1 test. ...
Recent works have focused the analysis of chaotic phenomena in fractional discrete memristor. ...
In [18] , the dynamic properties of a novel discrete memristive logistic map have been illustrated, while a memristive map with hyperchaotic was introduced in [19] . ...
doi:10.3390/math10234474
fatcat:ukt6whnxnrhofn2ekortsrsuvi
Special chaotic systems
2020
The European Physical Journal Special Topics
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This topical issue collects contributions related to recent achievements and scientific progress in special chaotic systems. ...
The individual papers focus on various questions of present-day interest in this topic. ...
These systems show hyperchaotic behavior, which is a property in these types of systems as previously proposed systems mostly show chaos and periodic responses. ...
doi:10.1140/epjst/e2020-000017-y
fatcat:ms635zkmevg5rmlzscwcriwd4a
Composite One- to Six-Scroll Hidden Attractors in a Memristor-Based Chaotic System and Their Circuit Implementation
2020
Complexity
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Chaotic systems with hidden multiscroll attractors have received much attention in recent years. ...
In this paper, a memristor-based chaotic system, which can generate composite attractors with one up to six scrolls, is proposed. ...
In light of Figure 8 , it is clear that the system goes through reverse period doubling bifurcation route from chaos to periodic. ...
doi:10.1155/2020/3259468
fatcat:y3cf772rzzhnvgyaxxndlz3k24
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