State key laboratory of electrical insulation and power equipment, school of electrical engineering, xian jiaotong university, xian, 710049, china. Finally, we have synchronized two identical new hyperchaotic systems with. International journal of modelling, identification and control ijmic, 233. Chaos synchronization of a new hyperchaotic finance system via a novel chatter free 179 i1,2,n, then the state vector xt will converge asymptotically to zero. We verify the realizability of the new system via an electronic circuit by using multisim software. Passivitybased adaptive hybrid synchronization of a new. A new memristorbased 5d chaotic system and circuit.
The dynamics analysis of the new system can also demonstrate the hyperchaotic characteristics. In this paper, a fifthorder hyperchaotic circuit with two new memristors models is presented and the dimensionless mathematical model is deduced. In this report, we address the important problem of synchronization of nonhyperbolic hyperchaotic. The electronic circuit realizing the 5d hyperchaotic system is designed and realized by the multisim software. If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. In this paper, a new hyperchaotic complex system is presented and its dynamical properties are discussed by phase portraits, bifurcation diagrams, and the lyapunov exponents spectra. Jul 11, 2015 in this paper, a new hyperchaotic complex system is presented and its dynamical properties are discussed by phase portraits, bifurcation diagrams, and the lyapunov exponents spectra. In this paper, a dynamical analysis of the novel hyperchaotic system with four parameters is presented. Antisynchronization and control of new chens hyperchaotic. A hyperchaotic attractor is typically defined as chaotic behavior with at least two positive lyapunov exponents. A memristorbased hyperchaotic complex lu system and its.
A new hyperchaotic circuit with two memristors and its. The nonlinear terms in the response system are not dropped. The design and analysis of adaptive synchronization for the new memristorbased chaotic system and its slave system are carried out. Control and synchronization of a new hyperchaotic system.
Noticeably, based on two drive complex systems and one response complex system with different dimensions, we propose generalized combination complex synchronization and design a general controller. We prove that the system is a true hyperchaotic system. Driveresponse synchronization of a fractionalorder. The synchronization of hyperchaotic attractors are achieved using the active control technique based on lyapunov stability analysis and yields excellent results as shown in fig. Chaos suppression using genetically optimized pid control of. We investigate the adaptive hybrid synchronization problem for a new hyperchaotic system with uncertain parameters. Furthermore, the full state hybrid projective synchronization fshps of new hyperchaotic system with unknown parameters. Driveresponse synchronization of a fractionalorder hyperchaotic system and its circuit implementation. Hyperchaos, control, synchronization and circuit simulation. Active synchronization in nonhyperbolic hyperchaotic systems. In this paper, a new chen hyperchaotic system was introduced and analyzed. In this article, a novel synchronization scheme, modified function projective lag synchronization mfpls, between identical and nonidentical hyperchaotic complex systems with fully uncertain param.
This paper is involved with full state hybrid projective synchronization of a new hyperchaotic system. Adaptive modified function projective lag synchronization of. Chaos suppression using genetically optimized pid control. Dynamics, circuit design and synchronization of a new five.
Based on the stability theory of fractional calculus, we propose a novel driveresponse synchronization scheme. Furthermore, the modularized design method for the physical circuit experiment implementation is applied to realize the circuit by multisim and physical experiments hardware. Kj2011zd07, program for liaoning excellent talents in university. Analysis and projective synchronization of new 4d hyperchaotic system in this manuscript, a new 4d hyperchaotic system is designed which is based on the 3d chaotic system 32 by introducing one more state variable in order to get the new 4d system. In this paper, a new simple 4d smooth autonomous system is proposed, which illustrates two interesting rare phenomena. The hyperchaotic system is not only demonstrated by computer simulations but also verified with bifurcation analysis, and is implemented experimentally via an electronic circuit.
Based on the stability theory of fractional calculus, we proposed a novel driveresponse synchronization scheme and studied the adamsbashforthmoulton algorithm. A new hyperchaotic system from the lu system and its control. Hidden hyperchaotic attractors in a new 4d fractional. At last, the fractional oscillator circuit of the new fractionalorder hyperchaotic system is designed based on the ewb software, and it is verified that the simulation results of the fractionalorder oscillator circuit. Furthermore, a circuit is designed to realize this new hyperchaotic system by. Furthermore, the hybrid projective synchronization hps of the new hyperchaotic systems was studied using a nonlinear feedback control. China 2 linyi normal university received 8 november 2007, accepted 9. Bi, qs 2010 adaptive modified function projective synchronization of hyperchaotic systems with. A new fourdimensional hyperchaotic chen system and its.
For all the symmetric chaotic systems, research results demonstrate that the shps can be realized with a singleterm linear controller. Global chaos synchronization of hyperchaotic lorenz and hyperchaotic chen systems by adaptive control dr. Chaos synchronization between two different fractional. China 2 linyi normal university received 8 november 2007, accepted 9 january 2008. The dynamics analysis of the system showed that the new system is a hyperchaotic system. In this letter, a new fourdimensional continuous autonomous hyperchaotic system.
Antisynchronization of hyperchaotic systems via novel. Oct 21, 2011 a hyperchaotic attractor is typically defined as chaotic behavior with at least two positive lyapunov exponents. Control and synchronization of a new hyperchaotic system with. Generalized combination complex synchronization of new. Keywords finitetime modified function projective lag synchronization, adaptive control, nonsingular terminal sliding mode, uncertain hyperchaotic system references aghababa, mp, aghababa, hp 2012 a a general nonlinear adaptive control scheme for finitetime synchronization of chaotic systems with uncertain parameters and nonlinear inputs. Synchronization of fractionalorder hyperchaotic systems. Finally, the control problem of a new hyperchaotic system is investigated. Genetically optimized proportional integral and derivative pid controllers were designed and applied for the chaos suppression of the 4d novel hyperchaotic system, by varying the genetic algorithms ga options to view the impact factor on the optimized pid controllers. The proposed synchronization scheme is simple and theoretically rigorous. A hyperchaotic system and its synchronization via scalar. Shen, s 2009 synchronization of a new fractional order hyperchaotic system.
A novel synchronization scheme called special hybrid projective synchronization shps, in which different state variables can synchronize up to same positive or negative scaling factors, is proposed in this paper. Four equations of the system each contain a cubic product term. Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal giuseppe grassi and saverio mascolo abstract in this brief control theory is used to formalize hyperchaos synchronization as a nonlinear observer design issue. A special hybrid projective synchronization in symmetric. The goal of this paper is to construct a new hyperchaotic complex lorenz system by adding a linear controller to and to consider this new system as a generalization of the hyperchaotic real lorenz system. Furthermore, the full state hybrid projective synchronization fshps of new hyperchaotic system with unknown parameters including the unknown coefficients of nonlinear terms is studied by using adaptive control. Some of its basic dynamical properties, such as lyapunov exponents, poincare section, bifurcation diagram and the periodic orbits evolving into chaotic, hyperchaotic dynamical behavior by varying parameter d are studied.
This paper investigates the problem of a new hyperchaotic system and its synchronization. To verify the effectiveness and feasibility of the control approach, by using the matlab program, the numer. A new finance chaotic system, its electronic circuit realization. Deng h, li t, wang q, li h 2009 a fractionalorder hyperchaotic system and its synchronization. Combined with one null exponent along the flow and one negative exponent to ensure the boundness of the solution, the minimal dimension for a continuous hyperchaotic system is 4. The adaptive controller and update laws for the synchronization of the new system were designed and conducted. A new 4d hyperchaotic system and its generalized function. The designed recursive backstepping nonlinear controllers are capable of stabilizing the hyperchaotic liu system at any position as well as controlling it to track any trajectory that is a smooth. Combined with one null exponent along the flow and one negative exponent to ensure the boundness of the solution, the minimal dimension for a continuous hyperchaotic system. May 04, 2017 a novel synchronization scheme called special hybrid projective synchronization shps, in which different state variables can synchronize up to same positive or negative scaling factors, is proposed in this paper. A new fivedimensional 5d hyperchaotic system is presented in this paper. The anti synchronization between two different hyperchaotic systems is investigated based on the nonlinear control theory.
This hyperchaotic system is constructed by adding a linear controller to the 3d autonomous chaotic system. Considering fractional derivatives do not satisfy th. Some of its basic dynamical properties, such as lyapunov exponents, poincare section, bifurcation diagram and the periodic orbits evolving into. Some of its basic dynamical properties, such as equilibria, lyapunov exponents. The objectives of the paper are i to develop a new 4d conservative chaotic system with hidden chaotic orbits, ii to design a second order adaptive time varying sliding mode control for the synchronization between two identical proposed chaotic systems in the presence of matched disturbances and iii to compare the performances of the proposed controller with two available controllers. A new hyperchaotic system and its synchronization request pdf. This work investigates chaos synchronization between two different fractionalorder hyperchaotic system fohss. Chaos is a very fascinating nonlinear phenomenon, which exhibits extreme sensitivity to initial conditions and has noiselike behaviors. How to realize control and synchronization of hyperchaotic systems.
How to realize control and synchronization of hyperchaotic systems is an interesting and challenging work. Dynamics and synchronization of new hyperchaotic complex. Research article a new 4d hyperchaotic system and its. This paper presents a new hyperchaotic system, obtained by adding a controller to the second equation of the threedimensional autonomous chens chaotic system. A new hyperchaotic system and its synchronization a new hyperchaotic system and its synchronization zheng, song. A new fourdimensional hyperchaotic chen system and its generalized synchronization jia lixin, dai hao. Furthermore, a generalized function projective synchronization. Karthikeyan research scholar, school of electronics and electrical engineering. Moreover, synchronization of two hyperchaotic systems has been studied extensively in the last few years. In order to achieve this synchronization control, the adamsbashforthmoulton algorithm is studied. Jul 26, 2018 by using a simple state feedback control technique and introducing two new nonlinear functions into a modified sprott b system, a novel fourdimensional 4d noequilibrium hyperchaotic system with grid multiwing hyperchaotic hidden attractors is proposed in this paper. Thus, hyperchaotic system has a much wider application than the low dimensional chaotic system. A new hyper chaotic system and its synchronization. Furthermore, the modularized circuit designs method is used in the new chaotic system.
Modified function projective lag synchronization in. Some basic dynamical behaviors are explored by calculating its lyapunov exponents, poincar. Thus, generation, control, synchronization and appli. Memristors are the fourth kind of circuit elements except for resistors, capacitors, and conductors and are conceived by chua in 1971 through the basic symmetric principle 1.
Control and synchronization of a new hyperchaotic system with unknown parameters dianchen lu1. Request pdf a new hyperchaotic system and its synchronization in this paper, a fourdimensional 4d continuous autonomous hyperchaotic system is. Zhou p, huang k 2014 a new 4d nonequilibrium fractionalorder chaotic system and its circuit implementation. This paper introduces a new memristorbased hyperchaotic complex.
Nonlinear feedback control of a novel hyperchaotic system and its. Based on the stability criterion of linear system, full state hybrid projective synchronization is achieved by appropriate linear separation. In this letter, a simple nonlinear state feedback controller is designed for generating hyperchaos from a threedimensional autonomous chaotic system. Second order adaptive time varying sliding mode control. Based on the chaotic system proposed by qi, a new fourdimensional hyperchaotic system is constructed. Adaptive synchronization for an uncertain new hyperchaotic. A new hyperchaotic system and its synchronization sciencedirect. Based on the passivity theory and the adaptive control theory, corresponding controllers and parameter estimation update laws are proposed to achieve hybrid synchronization between two identical uncertain hyperchaotic systems with different initial values, respectively. To enhance the potential application of the proposed system, its related circuit is designed afterwards with multisim software. A novel fractionalorder hyperchaotic system with a. Lab publications international group of control systems. Therefore, it is necessary to consider hybrid synchronization of hyperchaotic systems in the presence of uncertain parameters. A new 4d hyperchaotic system and its generalized function projective synchronization yuangao 1,2 andchenghualiang 2 schoolofinformationengineering,wuhanuniversityoftechnology,wuhan, china department of electronic information and control engineering, guangxi university of technology, liuzhou, china correspondence should be addressed to yuan gao.
We investigate the dynamics and synchronization of this new system. A novel fourdimensional noequilibrium hyperchaotic system. In detailed, complete synchronization, anti synchronization and hybrid synchronization with nine unknown parameters. We announce a new 4d hyperchaotic system with four parameters. This paper presents three important phenomena of chaos synchronization between two different hyperchaotic systems using nonlinear adaptive control strategy. Numerical simulations are presented to show the effective of the proposed chaos synchronization scheme.
Recently, many new hyperchaotic systems have been found or created by researchers continually 25. In this paper, a new fivedimensional hyperchaotic system is proposed based on the lu hyperchaotic system. Generation and modified projective synchronization for a class of new hyperchaotic systems jia, nuo and wang, tao, abstract and applied analysis, 20. Following this approach, a new systematic tool to synchronize a class of hyperchaotic. A new fourdimensional hyperchaotic system is investigated. The dynamic properties of the proposed hyperchaotic system are studied in detail. A new hyperchaotic system and its synchronization applied. Adaptive synchronization for an uncertain new hyperchaotic lorenz system jiang xu1, guoliang cai2, song zheng 2. A novel fourdimensional energysaving and emissionreduction system and its linear feedback control wang, minggang and xu, hua, journal of applied mathematics, 2012. Nonlinear observer design to synchronize hyperchaotic systems. In this paper, we apply the passivity theory to investigate the adaptive hybrid synchronization problem of a new hyperchaotic system with uncertain parameters.
A new hyperchaotic system and its circuit implementation. A novel fractionalorder hyperchaotic system is proposed. First, major dynamical characteristics of this new system such as. A new hyperchaotic system and its synchronization, applied.
The new hyperchaotic complex system is considered as a generalization of the hyperchaotic real lorenz. Numerical and analytical studies are carried out on its basic dynamical properties, such as equilibrium point, lyapunov exponents, poincare maps, and chaotic dynamical behaviors. A new fourdimensional autonomous hyperchaotic system and the synchronization of different chaotic systems by using fast terminal sliding mode control baojie zhang and hongxing li 1 jan 20 mathematical problems in engineering, vol. Figure 11 from a new hyperchaotic hyperjerk system with. Global chaos synchronization of hyperchaotic lorenz and. Global chaos synchronization of hyperchaotic lorenz and hyperchaotic chen systems by adaptive control. Chaos synchronization of a new hyperchaotic finance. Hyperchaotic system has more complex dynamics than the lowdimensional chaotic system. It is found through numerical simulation, bifurcation diagram and lyapunov index spectrum that the new system has its unique dynamical behavior. A novel 5ddimentional hyperchaotic system and its circuit. Numerical simulation is presented to demonstrate the effectiveness of the proposed method. In this paper, recursive and active backstepping nonlinear techniques are employed to design control functions for the respective, control, and synchronization of the new hyperchaotic liu system. Hybrid projective synchronization of a new hyperchaotic. In this work, we investigate a novel fractionalorder hyperchaotic system with a quadratic exponential nonlinear term and its synchronization.
Numerical simulation and theoretical analysis show that this fourdimensional system has rich dynamics and can exhibit periodic, quasiperiodic, chaos and hyperchaos behavior, which is confirmed by circuit experiment. Vaidyanathan s, azar at, rajagopal k, alexander p 2015 design and spice implementation of a 12term novel hyperchaotic system and its synchronization via active control 2015. In this paper, a novel modified function projective lag synchronization mfpls for fractionalorder chaotic hyperchaotic systems is proposed. Based on the chen chaotic system, a new fourdimensional hyperchaotic chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled fourdimensional hyperchaotic chen system with unknown parameters. The hyperchaos system undergoes a change from hyperchaos to limit cycle when the parameter varies. Some basic dynamic behaviors are further studied by calculating its lyapunov exponent spectrum, poincare section and bifurcation diagrams. The research of finding hidden attractors in nonlinear dynamical systems has attracted much consideration because of its practical and theoretical importance.
Noticeably, based on two drive complex systems and one response complex system with different dimensions, we propose generalized combination complex synchronization and design a general. A hyperchaos generated from chens system international. In this paper, we proposed a new fractionalorder hyperchaotic system and analyzed the basic properties of this new system. In section 2, the definition of fractionalorder derivative and its approximation is presented. In this paper, a fourdimensional 4d continuous autonomous hyperchaotic system is introduced and analyzed. A new hyperchaotic system and its generalized synchronization. Sundarapandian professor, research and development centre vel tech dr. In this paper, a 4d hyperchaotic system is proposed. Electronic circuits manifesting hyperbolic chaos and simulation of their dynamics using software package multisim we consider several electronic circuits, which are represented dynamical systems with hyperbolic chaotic attractors, such as smalewilliams and plykin attractors, and present results of their simulation using the software package n1 multisim 10. How to realize control and synchronization of hyperchaotic systems is an. Three important phenomena of chaos synchronization between. Finally, synchronization for this new hyperchaotic system is achieved via scalar control. In section 2, the mathematical model of the hyperchaotic system is proposed and its basic properties are presented.