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Jul 29, 2020Open    AccessArticle

A Three-Dimensional Chaotic System and Its New Proposed Electronic Circuit

Maysoon M. Aziz, Dalya M. Merie
In this paper, new electronic circuit was designed with two-equilibrium as an engineering application on a three-dimensional chaotic system. The circuit consists of resistors, capacitors, voltages and operational amplifiers TL032CN. The adopted continuous-time chaotic dynamical system is with quadratic cross-product nonlinear terms and parameters. The basic characteristics of the proposed circuit model were analyzed in detail by equilibrium points, stability analysis, Lyapunov exponents and Kapl...
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106555


Apr 20, 2020Open    AccessArticle

Homoclinic Points and Homoclinic Orbits for the Quadratic Family of Real Functions with Two Parameters

Karam N. Abdul-Kareem, Salma M. Farris
In this work, we study the homoclinic points and homoclinic orbits of the family of real functions with two parameters. We show that the function has no homoclinic points for , but has a homoclinic point for . Also, we prove that has homoclinic orbits for .
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106170


Feb 28, 2020Open    AccessArticle

Stability and Adaptive Control with Sychronization of 3-D Dynamical System

Maysoon M. Aziz, Dalya M. Merie
A three-dimensional system is presented with unknown parameters that employs two nonlinearities terms. The basic characteristics of the system are studied. The stability is measured by Characteristic equation roots, Routh stability criteria, Hurwitz stability criteria and Lapiynov function, all show that the system unstable. Then, Chaoticity is measured by maximum Lapiynov exponent of (Lmax=2.509426) and “Kaplan-Yorke” dimension (DL
...
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106075


Jul 04, 2019Open    AccessArticle

A Note on Momentum Conservation in the Non-Relativistic Lorentz Theory of Radiation Reaction

Rajat Roy
The Lorentz theory of radiation reaction in the non relativistic limit is critically examined from the principles of symmetry. In Newtonian motion the applied force and the consequent momentum change generally always have a direction. In the case of a charged body this momentum change is accompanied by the radiation of photons. The question that needs to be answered is: does this radiated field carry any mo
...
Open Access Library J. Vol.6, 2019
Doi:10.4236/oalib.1105534


Jun 26, 2018Open    AccessArticle

Chaos, Mixing, Weakly Mixing and Exactness

Mohammed Nokhas Murad Kaki
In this paper, new definitions of chaos, exact chaos, mixing chaos, and weak mixing chaos called θ-chaos, θ exact chaos, θ-mixing chaos are introduced and extended to topological spaces. Our purpose is to investigate other t
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Open Access Library J. Vol.5, 2018
Doi:10.4236/oalib.1103773


Feb 23, 2018Open    AccessArticle

Spreading Dynamic of a PLSGP Giving up Smoking Model on Scale-Free Network

Yanling Fei, Xiongding Liu
A new PLSGP (potential smokers-light smokers-persistent smokers-giving up smokers-potential smokers) model with birth and death rates on complex heterogeneous networks is presented. Using the mean-field theory, we obtain the basic reproduction number R0 and find that basic reproduction number for constant contact is independent of the topology of the underlying networks. When R0<1, the smoki
...
Open Access Library J. Vol.5, 2018
Doi:10.4236/oalib.1104365


Nov 09, 2016Open    AccessArticle

Backstepping Technique Based on Error

Li Wang
Backstepping technique usually adopts back step design to construct the Lyapunov function gradually, and then to design the corresponding virtue controller. The backstepping technique based on error also adopts back step design process, but the design of virtue controllers depends on the corresponding errors which are designed to satisfy some expected behaviors. Six different error equations are deduced by chang
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Open Access Library J. Vol.3, 2016
Doi:10.4236/oalib.1103061


Jul 14, 2016Open    AccessArticle

Chaos Anti-Synchronization between Chen System and Genesio System

Xianyong Wu, Hao Wu, Zhengrong Yan, Yuehua Huang
In this paper, anti-synchronization of two different chaotic systems is investigated. On the basis of Lyapunov theory, adaptive control scheme is proposed when system parameters are unknown or uncertain; sufficient conditions for the stability of the error dynamics are derived, where the controllers are designed by using the sum of the state variables in chaotic systems. Numerical simulations are performed for the Chen system and
...
Open Access Library J. Vol.3, 2016
Doi:10.4236/oalib.1102856


Mar 25, 2016Open    AccessArticle

New Types of Lambda-Transitive and Weakly Lambda-Mixing Sets

Mohammed Nokhas Murad Kaki
This research paper is intended as a survey article on new types of mixing, weakly mixing, transitive and chaotic sets in a topological dynamical system. I mention here some new kinds of chaotic maps and chaotic sets and indicate their connection between them. Chaotic behavior is a manifestation of the complexity of nonlinear system. There are several different definitions of topological transitive sets and chaos, which describe the complexity of systems in different aspects. The present work ma...
Open Access Library J. Vol.3, 2016
Doi:10.4236/oalib.1102506


Nov 11, 2015Open    AccessArticle

Qualitative Analysis of a Rumor Transmission Model with Incubation Mechanism

Salma Al-Tuwairqi, Sarah Al-Sheikh, Reem Al-Amoudi
In this paper, we propose a rumor transmission model with incubation period considering the fact that incubators may move to stifler class and susceptibles may move to spreader class. The model is formulated with constant recruitment and varying total population. The full system of the model is studied qualitatively producing rumor-free and rumor-existence equilibriums. The existence conditions of the equilibriums are investigated. Moreover, the local and global stability analysis of both equili...
Open Access Library J. Vol.2, 2015
Doi:10.4236/oalib.1102040


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