scholarly journals A Chaotic Attractor in Delayed Memristive System

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Lidan Wang ◽  
Shukai Duan
Keyword(s):  
Chaotic Attractor ◽  
Nonlinear Function ◽  
Successful Development ◽  
Circuit Element ◽  
Nonlinear Characteristics ◽  
Theoretical Design ◽  
Memristive System ◽  
Delayed System ◽  
Passive Circuit ◽  
First Time

Over the last three decades, theoretical design and circuitry implementation of various chaotic generators by simple electronic circuits have been a key subject of nonlinear science. In 2008, the successful development of memristor brings new activity for this research. Memristor is a new nanometre-scale passive circuit element, which possesses memory and nonlinear characteristics. This makes it have a unique charm to attract many researchers’ interests. In this paper, memristor, for the first time, is introduced in a delayed system to design a signal generator to produce chaotic behaviour. By replacing the nonlinear function with memristors in parallel, the memristor oscillator exhibits a chaotic attractor. The simulated results demonstrate that the performance is well predicted by the mathematical analysis and supports the viability of the design.

Impulsive Control and Synchronization of Memristor-Based Chaotic Circuits

2014 ◽  
Vol 24 (12) ◽  
pp. 1450162 ◽  
Author(s):  
Shiju Yang ◽  
Chuandong Li ◽  
Tingwen Huang
Keyword(s):  
Chaotic System ◽  
Impulsive Control ◽  
Chaotic Behavior ◽  
Memory Function ◽  
Sufficient Conditions ◽  
Impulsive System ◽  
Circuit Element ◽  
Chaotic Circuits ◽  
Control And Synchronization ◽  
Passive Circuit

The memristor is a novel nonlinear passive circuit element which has the memory function, and the circuits based on the memristors might exhibit chaotic behavior. In this paper, we revisit a memristor-based chaotic circuit, and then investigate its stabilization and synchronization via impulsive control. By impulsive system theory, some sufficient conditions for the stabilization and synchronization of the memristor-based chaotic system are established. Moreover, an estimation of the upper bound of the impulse interval is proposed under the condition that the parameters of the chaotic system and the impulsive control law are well defined. To show the effectiveness of the theoretical results, numerical simulations are also presented.

In-Plane Force Effect of Reinforced Concrete Beam with Elastic Supports

2011 ◽  
Vol 287-290 ◽  
pp. 1896-1901
Author(s):  
Zhi Kun Guo ◽  
Wan Xiang Chen ◽  
Qi Fan Wang ◽  
Yu Huang ◽  
Chao Pu Li ◽  
...  
Keyword(s):  
Reinforced Concrete ◽  
Concrete Beam ◽  
Reinforced Concrete Beam ◽  
Reinforced Concrete Beams ◽  
Nonlinear Characteristics ◽  
Elastic Supports ◽  
Calculation Results ◽  
Basic Equations ◽  
First Time ◽  
Good Agreement

The bearing capacities of one-way reinforced concrete beams with elastic supports are investigated in this paper. According to the nonlinear characteristics of the beams, the basic equations based on plastic theory of concrete are derived by considering the in-plane force effects that aroused by the constraints of supports when the beams deforming. It is indicated that the calculation results are in good agreement with experimental datum, and the influences of different supports on the bearing capacities of the beams are quantitatively given for the first time.

scholarly journals Memfractance: A Mathematical Paradigm for Circuit Elements with Memory

2014 ◽  
Vol 24 (09) ◽  
pp. 1430023 ◽  
Author(s):  
Mohammed-Salah Abdelouahab ◽  
René Lozi ◽  
Leon Chua
Keyword(s):  
Fractional Calculus ◽  
Nanoscale Device ◽  
Circuit Element ◽  
Ohm’S Law ◽  
History Of ◽  
Memristive Systems ◽  
Ohm's Law ◽  
Inductive Elements ◽  
Passive Circuit ◽  
With Memory

Memristor, the missing fourth passive circuit element predicted forty years ago by Chua was recognized as a nanoscale device in 2008 by researchers of a H. P. Laboratory. Recently the notion of memristive systems was extended to capacitive and inductive elements, namely, memcapacitor and meminductor whose properties depend on the state and history of the system. In this paper, we use fractional calculus to generalize and provide a mathematical paradigm for describing the behavior of such elements with memory. In this framework, we extend Ohm's law to the generalized Ohm's law and prove it.

scholarly journals Memristor Equations: Incomplete Physics and Undefined Passivity/Activity

2017 ◽  
Vol 16 (04) ◽  
pp. 1771001 ◽  
Author(s):  
Kyle M. Sundqvist ◽  
David K. Ferry ◽  
Laszlo B. Kish
Keyword(s):  
Second Law Of Thermodynamics ◽  
Second Law ◽  
Passive System ◽  
Circuit Element ◽  
Fundamental Physics ◽  
Seminal Paper ◽  
Passive Device ◽  
Fluctuation Dissipation ◽  
Passive Circuit ◽  
Fundamental Physical

In his seminal paper, Chua presented a fundamental physical claim by introducing the memristor, “The missing circuit element”. The memristor equations were originally supposed to represent a passive circuit element because, with active circuitry, arbitrary elements can be realized without limitations. Therefore, if the memristor equations do not guarantee that the circuit element can be realized by a passive system, the fundamental physics claims about the memristor as “missing circuit element” loses all its weight. The question of passivity/activity belongs to physics thus we incorporate thermodynamics into the study of this problem. We show that the memristor equations are physically incomplete regarding the problem of passivity/activity. As a consequence, the claim that the present memristor functions describe a passive device lead to unphysical results, such as violating the Second Law of thermodynamics, in infinitely large number of cases. The seminal memristor equations cannot introduce a new physical circuit element without making the model more physical such as providing the Fluctuation–Dissipation Theory of memristors.

scholarly journals A locally Active Discrete Memristor Model and Its Application in a Hyperchaotic Map

2021 ◽  
Author(s):  
Minglin Ma ◽  
Yang Yang ◽  
Zhicheng Qiu ◽  
Yuexi Peng ◽  
Yichuang Sun ◽  
...  
Keyword(s):  
Simulation Analysis ◽  
Engineering Application ◽  
Two Dimensional ◽  
Coexisting Attractors ◽  
Distribution Diagram ◽  
Dynamical Behaviors ◽  
Memristive System ◽  
Definition Of ◽  
First Time ◽  
Lyapunov Exponent Spectrum

Abstract The continuous memristor is a popular topic of research in recent years, however, there is rare discussion about the discrete memristor model, especially the locally active discrete memristor model. This paper proposes a locally active discrete memristor model for the first time and proves the three fingerprints characteristics of this model according to the definition of generalized memristor. A novel hyperchaotic map is constructed by coupling the discrete memristor with a two-dimensional generalized square map. The dynamical behaviors are analyzed with attractor phase diagram, bifurcation diagram, Lyapunov exponent spectrum, and dynamic behavior distribution diagram. Numerical simulation analysis shows that there is significant improvement in the hyperchaotic area, the quasi-periodic area and the chaotic complexity of the two-dimensional map when applying the locally active discrete memristor. In addition, antimonotonicity and transient chaos behaviors of system are reported. In particular, the coexisting attractors can be observed in this discrete memristive system, resulting from the different initial values of the memristor. Results of theoretical analysis are well verified with hardware experimental measurements. This paper lays a great foundation for future analysis and engineering application of the discrete memristor and relevant the study of other hyperchaotic maps.

Successful Development of Artificial Dental Root of the Gompholic System by Means of Bioceramics

2006 ◽  
Vol 49 ◽  
pp. 290-299
Author(s):  
Katsunari Nishihara
Keyword(s):  
Clinical Research ◽  
Alveolar Bone ◽  
Animal Experiments ◽  
Successful Development ◽  
Joint System ◽  
Optimal Shapes ◽  
Integrated Research ◽  
The World ◽  
Implant System ◽  
First Time

The conventional concept of dental implants completely lacks odontology. Therefore, the dental implant system is quite different from the gompholic mammalian tooth system. Developmental research on artificial dental roots of the mammalian gompholic system has been carried out by the author successfully for the first time in the world from the viewpoint of odontology. Characteristics of the mammalian tooth system are gompholic and heterodontia with tribosphenic tritubercular molars. The meaning of heterodontia in morphology, i.e., several variations in crown and root shapes in different sites of mammalian jawbones are optimal shapes according to the different tooth functions, i.e., sphenic incisors and canines, and tribosphenic-tritubercular molars. For the optimal shapes of teeth adapted to their functions, the gompholic joint system is inevitable, i.e., fibrous articulation with cementoblasts, ligaments with capillaries, and the alveolar bone proper (socket bone). From this viewpoint, the author has developed artificial dental roots of the heterodontia gompholic system. Integrated research on animal experiments, biomechanical research as well as clinical research, have been carried out. It has been proved by microanalyses, microscopy, and scanning electromicroscopy (SEM) that cementoblasts, the cementum, periodontal ligaments, and the alveolar bone proper (socket bone), develop around artificial roots.

A four-wing hyper-chaotic attractor generated from a 4-D memristive system with a line equilibrium

2015 ◽  
Vol 81 (3) ◽  
pp. 1275-1288 ◽  
Author(s):  
Jian Ma ◽  
Zengqiang Chen ◽  
Zhonglin Wang ◽  
Qing Zhang
Keyword(s):  
Chaotic Attractor ◽  
Memristive System ◽  
Line Equilibrium

scholarly journals Zemstvo Service as the Start of a Public and Political Career (The Example of Representatives of Neo-Populist Parties)

2020 ◽  
pp. 017-032
Author(s):  
O. L. Protasova ◽  
◽  
I. G. Pirozhkova ◽  
Keyword(s):  
Public Policy ◽  
Civil Society ◽  
Communication Skills ◽  
Practical Knowledge ◽  
Successful Development ◽  
Common People ◽  
Political Career ◽  
Policy Actors ◽  
First Time

Using the examples of biographies of some well-known representatives of the populist parties (socialist-revolutionaries and popular socialists), for the first time, it is shown how the work at zemstvo helped future politicians to determine their ideological orientation, gave practical knowledge of the needs of common people, provided insights into their lifestyle and improved communication skills with the peasant population. The significance of zemstvos as early prototypes of modern civil society institutions and a kind of “school of activism” of public policy actors during the Russian revolutions (1905-1917) is discussed. It is concluded that, owing to the understanding of the specifics of life and the mentality of the “lower classes”, the experience gained by the populists during their work in the zemstvos contributed to the successful development of their further socio-political career.

scholarly journals Ламинарный хаос в генераторе с запаздывающей обратной связью

2020 ◽  
Vol 46 (9) ◽  
pp. 16
Author(s):  
Д.Д. Кульминский ◽  
В.И. Пономаренко ◽  
М.Д. Прохоров
Keyword(s):  
Delay Time ◽  
Nonlinear Function ◽  
Harmonic Signal ◽  
Delayed Feedback ◽  
Radio Engineering ◽  
First Time ◽  
Time Delayed Feedback

For the first time, the phenomenon of laminar chaos is experimentally studied in a radio engineering generator with time-delayed feedback, the delay time of which is modulated by an external harmonic signal. Regions of various regimes of laminar chaos are constructed on the plane of the parameters of modulating signal. The nonlinear function of generator is reconstructed in the regime of laminar chaos.

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