A New Finance Chaotic System, its Electronic Circuit Realization, Passivity based Synchronization and an Application to Voice Encryption

被引:20
作者
Vaidyanathan, Sundarapandian [1 ]
Sambas, Aceng [2 ]
Kacar, Sezgin [3 ]
Cavusoglu, Unal [4 ]
机构
[1] Vel Tech Univ, Res & Dev Ctr, Chennai 600062, Tamil Nadu, India
[2] Univ Muhammadiyah Tasikmalaya, Dept Mech Engn, Tasikmalaya, Jawa Barat, Indonesia
[3] Sakarya Univ, Fac Technol, Dept Elect & Elect Engn, Sakarya, Turkey
[4] Sakarya Univ, Fac Comp & Informat Sci, Dept Comp Engn, Sakarya, Turkey
来源
NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2019年 / 8卷 / 01期
关键词
Chaos; chaotic systems; circuit design; passive control; voice encryption;
D O I
10.1515/nleng-2018-0012
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Modelling and control applications of dynamical systems in chaos theory arising in several areas are investigated and new control techniques are designed in the chaos literature. We propose a new complex finance chaotic model with states as the interest rate, investment demand, and price index. In this work, after studying the dynamical properties of the new finance model, an electronic chaotic circuit of the model is realized in Multisim. Based on passive control theory, we derive a new controller for globally synchronizing state trajectories of the new finance models. Using the new finance chaotic model developed in this work, a new voice encryption algorithm design is presented. With the proposed algorithm, voice encryption application is performed, and results are described.
引用
收藏
页码:193 / 205
页数:13
相关论文
共 53 条
[1]  
Aceng S., 2017, FAR E J MATH SCI, V102, P1165
[2]  
[Anonymous], 2018, OPTICS LASERS ENG
[3]  
Azar A.T., 2015, SYSTEMS DESIGN
[4]   Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria [J].
Bao, Han ;
Wang, Ning ;
Bao, Bocheng ;
Chen, Mo ;
Jin, Peipei ;
Wang, Guangyi .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 57 :264-275
[5]   PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].
BYRNES, CI ;
ISIDORI, A ;
WILLEMS, JC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240
[6]  
CAVUSOGLU U, 2017, FRACTALS, V104, P655, DOI DOI 10.1016/J.CHAOS.2017.09.025
[7]   Chaos and Hopf bifurcation of a finance system [J].
Gao, Qin ;
Ma, Junhai .
NONLINEAR DYNAMICS, 2009, 58 (1-2) :209-216
[8]  
Guo-Liang Cai, 2010, Proceedings of the Third International Conference on Information and Computing Science (ICIC 2010), P70, DOI 10.1109/ICIC.2010.111
[9]   Chaos control in delayed phase space constructed by the Takens embedding theory [J].
Hajiloo, R. ;
Salarieh, H. ;
Alasty, A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 54 :453-465
[10]   An appropriate system for securing real-time voice communication based on ADPCM coding and chaotic maps [J].
Hamdi, Mimoun ;
Rhouma, Rhouma ;
Belghith, Safya .
MULTIMEDIA TOOLS AND APPLICATIONS, 2017, 76 (05) :7105-7128