Dynamical Properties of a Modified Chaotic Colpitts Oscillator with Logarithmic Function

被引：0
|
作者：
Kumar, K. A. Niranjan [1 ]
Devi, R. Narmada [1 ]
Rasappan, Suresh [2 ]
机构：
[1] Vel Tech Rangarajan Dr Sagunthala R&D Inst Sci &, Dept Math, Chennai 62, Tamil Nadu, India
[2] Univ Technol & Appl Sci, Informat Technol Dept, Math Sect, Ibri, Oman
来源：
ENGINEERING LETTERS | 2022年 / 30卷 / 03期
关键词：
chaos; Colpitts oscillator; diffusion; Lyapunov exponent; logarithmic function non-linearity; stability; synchronization; BACKSTEPPING CONTROL DESIGN; ADAPTIVE-CONTROL; SYNCHRONIZATION; SYSTEM; STABILITY; CIRCUIT;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, two logarithmic non-linearities are proposed for a new four-dimensional chaotic system. The phase portrait, Lyapunov exponent, bifurcation, stability, and other dynamical features of the new chaotic system are all discussed. The multi-stability of the new chaotic system with coexisting attractors has been established. The adaptive backstepping control approach with proper Lyapunov functions is used in the control application to retrieve the unknown parameters of the system. To synchronise the states between the drive-response system, non-linear feedback control is used, as well as backstepping control to synchronise the states on the system's error dynamics. Op-amp circuits are used to create the electronic circuit design for a new chaotic system. The system's efficiency is confirmed using MATLAB numerical simulation.
引用
收藏
页码：1107 / 1119
页数：13
相关论文
共 50 条
  • [41] Chaotic optical time-domain reflectometry using a distributed feedback laser diode modulated by an improved Colpitts oscillator
    Li, Jing Xia
    Xu, Hang
    Liu, Li
    Su, Peng Cheng
    Zhang, Jian Guo
    OPTICAL ENGINEERING, 2015, 54 (05)
  • [42] Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system
    Gamal M. Mahmoud
    Shaban A. Aly
    M. A. AL-Kashif
    Nonlinear Dynamics, 2008, 51 : 171 - 181
  • [43] A new three-dimensional chaotic flow with one stable equilibrium: dynamical properties and complexity analysis
    Khalaf, Abdul Jalil M.
    Kapitaniak, Tomasz
    Rajagopal, Karthikeyan
    Alsaedi, Ahmed
    Hayat, Tasawar
    Viet-Thanh Pham
    OPEN PHYSICS, 2018, 16 (01): : 260 - 265
  • [44] Design of optimised backstepping controller for the synchronisation of chaotic Colpitts oscillator using shark smell algorithm
    Ehsan Fouladi
    Hamed Mojallali
    Pramana, 2018, 90
  • [45] A New Chaotic Oscillator-Properties, Analog Implementation, and Secure Communication Application
    Nwachioma, Christian
    Humberto Perez-Cruz, J.
    Jimenez, Abimael
    Ezuma, Martins
    Rivera-Blas, R.
    IEEE ACCESS, 2019, 7 : 7510 - 7521
  • [46] Design of optimised backstepping controller for the synchronisation of chaotic Colpitts oscillator using shark smell algorithm
    Fouladi, Ehsan
    Mojallali, Hamed
    PRAMANA-JOURNAL OF PHYSICS, 2018, 90 (01):
  • [47] Dynamical Analysis and Offset Boosting in a 4-Dimensional Quintic Chaotic Oscillator with Circulant Connection of Space Variables
    Sandrine, Nzoulewa Dountsop
    Jacques, Kengne
    COMPLEXITY, 2023, 2023
  • [48] Adaptive backstepping control and synchronization of a modified and chaotic Van der Pol-Duffing oscillator
    Vincent U.E.
    Odunaike R.K.
    Laoye J.A.
    Gbindinninuola A.A.
    Journal of Control Theory and Applications, 2011, 9 (2): : 273 - 277
  • [49] Adaptive backstepping control and synchronization of a modified and chaotic Van der Pol-Duffing oscillator
    U.E.VINCENT
    R.K.ODUNAIKE
    J.A.LAOYE
    A.A.GBINDINNINUOLA
    Control Theory and Technology, 2011, 9 (02) : 273 - 277
  • [50] Analyzing chaotic phenomenon in a Colpitts oscillator based on Lur's system form and the Hopf bifurcation theorem
    Chou, HC
    MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2006, 48 (01) : 190 - 195
12345