Initial-condition-switched boosting extreme multistability and mechanism analysis in a memcapacitive oscillator

2021 ◽  
Vol 22 (11) ◽  
pp. 1517-1531
Author(s):  
Bei Chen ◽  
Quan Xu ◽  
Mo Chen ◽  
Huagan Wu ◽  
Bocheng Bao
Keyword(s):  
Initial Condition ◽  
Mechanism Analysis ◽  
Extreme Multistability

Extreme multistability in memristive hyper-jerk system and stability mechanism analysis using dimensionality reduction model

2019 ◽  
Vol 228 (10) ◽  
pp. 1995-2009 ◽  
Author(s):  
Yunzhen Zhang ◽  
Zhong Liu ◽  
Huagan Wu ◽  
Shengyao Chen ◽  
Bocheng Bao
Keyword(s):  
Dimensionality Reduction ◽  
Mechanism Analysis ◽  
Reduction Model ◽  
Extreme Multistability ◽  
Jerk System

scholarly journals Hybrid State Variable Incremental Integral for Reconstructing Extreme Multistability in Memristive Jerk System with Cubic Nonlinearity

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-16 ◽  
Author(s):  
Mo Chen ◽  
Yang Feng ◽  
Han Bao ◽  
Bocheng Bao ◽  
Huagan Wu ◽  
...  
Keyword(s):  
Integral Transformation ◽  
Equilibrium Points ◽  
Mechanism Analysis ◽  
State Variables ◽  
Cubic Nonlinearity ◽  
Hybrid State ◽  
State Variable ◽  
Extreme Multistability ◽  
Memristive System ◽  
Jerk System

Memristive system with infinitely many equilibrium points has attracted much attention for the generation of extreme multistability, whose initial-dependent dynamics can be interpreted in a reduced-order model through incremental integral transformation of state variables. But, the memristive system with any extra nonlinear terms besides the memristor ones cannot be handled directly using this method. In addition, the transformed state variables could be divergent due to the asymmetry of the original system. To solve these problems, a hybrid state variable incremental integral (HSVII) method is proposed in this paper. With this method, the extreme multistability in a four-dimensional (4D) memristive jerk system with cubic nonlinearity is successfully reconstituted in a three-dimensional (3D) model and the divergent state variables are eliminated through ingenious linear state variable mapping. Thus, mechanism analysis and physical control of the special extreme multistability can readily be performed. A hardware circuit is finally designed and fabricated, and the theoretical and numerical results are verified by the experimental measurements. It is demonstrated that this HSVII method is effective for the analysis of multistable system with high-order nonlinearities.

scholarly journals Complex Dynamics in a Memcapacitor-Based Circuit

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 188 ◽  
Author(s):  
Fang Yuan ◽  
Yuxia Li ◽  
Guangyi Wang ◽  
Gang Dou ◽  
Guanrong Chen
Keyword(s):  
Complex System ◽  
Lyapunov Exponents ◽  
Dynamic Characteristics ◽  
Complex Dynamics ◽  
Basins Of Attraction ◽  
Chaotic Oscillator ◽  
Initial Condition ◽  
Circuit Implementation ◽  
Coexisting Attractors ◽  
Extreme Multistability

In this paper, a new memcapacitor model and its corresponding circuit emulator are proposed, based on which, a chaotic oscillator is designed and the system dynamic characteristics are investigated, both analytically and experimentally. Extreme multistability and coexisting attractors are observed in this complex system. The basins of attraction, multistability, bifurcations, Lyapunov exponents, and initial-condition-triggered similar bifurcation are analyzed. Finally, the memcapacitor-based chaotic oscillator is realized via circuit implementation with experimental results presented.

scholarly journals Memristor-Based Canonical Chua’s Circuit: Extreme Multistability in Voltage-Current Domain and Its Controllability in Flux-Charge Domain

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Han Bao ◽  
Tao Jiang ◽  
Kaibin Chu ◽  
Mo Chen ◽  
Quan Xu ◽  
...  
Keyword(s):  
Current Model ◽  
Phase Portraits ◽  
Initial Condition ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Attraction Basin ◽  
Extreme Multistability ◽  
Canonical Chua’S Circuit ◽  
Flux Charge ◽  
Memristor Emulator

This paper investigates extreme multistability and its controllability for an ideal voltage-controlled memristor emulator-based canonical Chua’s circuit. With the voltage-current model, the initial condition-dependent extreme multistability is explored through analyzing the stability distribution of line equilibrium point and then the coexisting infinitely many attractors are numerically uncovered in such a memristive circuit by the attraction basin and phase portraits. Furthermore, based on the accurate constitutive relation of the memristor emulator, a set of incremental flux-charge describing equations for the memristor-based canonical Chua’s circuit are formulated and a dimensionality reduction model is thus established. As a result, the initial condition-dependent dynamics in the voltage-current domain is converted into the system parameter-associated dynamics in the flux-charge domain, which is confirmed by numerical simulations and circuit simulations. Therefore, a controllable strategy for extreme multistability can be expediently implemented, which is greatly significant for seeking chaos-based engineering applications of multistable memristive circuits.

Is it a Right Assumption That B and Ge are Distributed Randomly After Growing a Strained HBT-Structure?

2002 ◽  
Vol 716 ◽  
Author(s):  
Victor I. Kol'dyaev
Keyword(s):  
Surface Segregation ◽  
Initial Conditions ◽  
Initial Condition ◽  
Basic Assumptions ◽  
Transient Diffusion ◽  
Segregation Process ◽  
Main Observation

AbstractIt is accepted that surface Ge atoms are considered to be responsible for the surface B segregation process. A set of original experiments is carried out. A main observation from the B and Ge profiles grown at different conditions shows that at certain conditions B is taking initiative and determine the Ge surface segregation process. basic assumptions are suggested to self-consistently explain these original experimental features and what is observed in the literature. These results have a strong implication for modeling the B diffusion in Si1-xGex where the initial conditions should be formulated accounting for the correlation in B and Ge distribution. A new assumption for the initial condition to be “all B atoms are captured by Ge” is regarded as a right one implicating that there is no any transient diffusion representing the B capturing kinetics.

Potential Profile Measurement and Mechanism Analysis of an Electrostatic Latent Image by Detecting Primary Electrons

2014 ◽  
Vol 57 (6) ◽  
pp. 605021-605027
Author(s):  
Hiroyuki Suhara ◽  
Takeshi Ueda ◽  
Hiroaki Tanaka
Keyword(s):  
Potential Profile ◽  
Profile Measurement ◽  
Mechanism Analysis ◽  
Latent Image ◽  
Primary Electrons

Mechanism analysis and application of cement-soil mixing pile in soft roadbed treatment

2018 ◽  
Vol 28 (2) ◽  
pp. 161-172
Author(s):  
JUNHUI LUO ◽  
XIANLIN LIU ◽  
HAIFENG HUANG ◽  
DECAI MI ◽  
DEQIANG CHE
Keyword(s):  
Mechanism Analysis ◽  
Soil Mixing ◽  
Cement Soil

UPAYA MENINGKATKAN KOMPETENSI GURU DALAM MENYUSUN RENCANA PELAKSANAAN PEMBELAJARAN MELALUI BIMBINGAN BERKELANJUTAN DI SD NEGERI 017 KUNTO DARUSSALAM TAHUN 2017

2020 ◽  
Author(s):  
Sri Winarsih
Keyword(s):  
Learning Strategies ◽  
Learning Process ◽  
School Principal ◽  
Initial Condition ◽  
Research Subjects ◽  
Analysis Techniques ◽  
Pedagogical Competence ◽  
Treatment Data ◽  
The Subject

This study aims to determine the appropriate steps in carrying out academic supervision so as to be able to improve the pedagogical competence of teachers, especially in the learning process which in turn will affect the improvement of the quality of education.The study was conducted in two cycles. Each cycle has different planning, implementation, observation and reflection. Research subjects of the principal and teacher. The school principal with his academic supervision measures, while the Kunto Darussalam Elementary School 017 teacher as an object as well as the subject in providing academic supervision treatment. Data collection techniques through class supervision with stages of supervising teachers in the learning process and observation of classroom learning, to record important events related to research, especially at the time of the processlearning takes place.Data analysis techniques that guide data processing using a percentage (%) of achievement with 100 constants. And to see the interpertation using score interpertation criteria to strengthen the interpretation in conclusions as follows: 80% - 100% (Very Good), 66% - 79 % (Good), 56% - 65% (Enough), and 40% - 55% (Less).The results showed that the ability of teachers in the implementation of the learning process experienced an increase in the percentage at each stage, from the first cycle reached an average of 63% (sufficient) and in the second cycle reached an average of 68% (good). There is an increase in teacher's ability by 5% from cycle I. In detail there is a significant increase in the initial condition of the school when compared to the final condition in the second cycle. The accuracy of teachers entering the class increased by 48%, the use of learning media increased by 32%, varied methods increased by 31%, and learning strategies increased by 36%.

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