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共有20条相似文献,以下是第1-20项 搜索用时 296 毫秒

1.  Implementation of a novel two-attractor grid multi-scroll chaotic system  
   罗小华  涂正伟  刘希瑞  蔡昌  梁亦龙  龚璞《中国物理 B》,2010年第19卷第7期
   This paper proposed a method of generating two attractors in a novel grid multi-scroll chaotic system.Based on a newly generated three-dimensional system,a two-attractor grid multi-scroll attractor system can be generated by adding two triangular waves and a sign function.Some basic dynamical properties,such as equilibrium points,bifurcations,and phase diagrams,were studied.Furthermore,the system was experimentally confirmed by an electronic circuit.The circuit simulation results and numerical simulation results verified the feasibility of this method.    

2.  A new multi-scroll chaotic system  
   王发强  刘崇新《中国物理》,2006年第15卷第12期
   This paper proposes a new simple autonomous chaotic system which can generate multi-scroll chaotic attractors. The characteristic of this new multi-scroll chaotic system is that the 4n + 2rn + 4-scroll chaotic attractors are generated easily with n and m vaxying under n ≤ m. Various number of scroll chaotic attractors are illustrated not only by computer simulation but also by the realization of an electronic circuit experiment on EWB (Electronics Workbench).    

3.  A new multi-scroll chaotic generator  
   王发强  刘崇新《中国物理》,2007年第16卷第4期
   In this paper a new simple multi-scroll chaotic generator is studied. The characteristic of this new multi-scroll chaotic generator is that it is easy to generate different number of scroll chaotic attractors through modifying the nature number n after fixing the suitable system parameters and it does not need complex mathematical derivation. Various number of scroll chaotic attractors are illustrated not only by computer simulation but also by the realization of an electronic circuit experiment on Electronic Workbench (EWB).    

4.  Multi-scroll hidden attractors and multi-wing hidden attractors in a 5-dimensional memristive system  
   《中国物理 B》,2017年第11期
   A novel 5-dimensional(5D) memristive chaotic system is proposed, in which multi-scroll hidden attractors and multiwing hidden attractors can be observed on different phase planes. The dynamical system has multiple lines of equilibria or no equilibrium when the system parameters are appropriately selected, and the multi-scroll hidden attractors and multi-wing hidden attractors have nothing to do with the system equilibria. Particularly, the numbers of multi-scroll hidden attractors and multi-wing hidden attractors are sensitive to the transient simulation time and the initial values. Dynamical properties of the system, such as phase plane, time series, frequency spectra, Lyapunov exponent, and Poincar′e map, are studied in detail. In addition, a state feedback controller is designed to select multiple hidden attractors within a long enough simulation time. Finally, an electronic circuit is realized in Pspice, and the experimental results are in agreement with the numerical ones.    

5.  Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems  
   禹思敏  马在光  丘水生  彭世国  林清华《中国物理》,2004年第13卷第3期
   Based on our previous works and Lyapunov stability theory, this paper studies the generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems. A fourth-order circuit, by introducing additional breakpoints in the modified Chua oscillator, is implemented for the study of generation and synchronization of N-scroll chaotic attractors.This confirms the consistency of theoretical calculation, numerical simulation and circuit experiment.Furthermore,we give a refined and extended study of generating and synchronizing N-scroll hyperchaotic attractors in the fourth-order MCK system and report the new theoretical result, which is verified by computer simulations.    

6.  Passive control of a 4-scroll chaotic system  
   王发强  刘崇新《中国物理》,2007年第16卷第4期
   This paper studies the control of a new chaotic system which can generate 4-scroll attractors. Based on the properties of a passive system, it derives the essential conditions under which this new chaotic system could be equivalent to a passive system and globally asymptotically stabilize at a zero equilibrium point via smooth state feedback. Simulation results and circuit experiment show that the proposed chaos control method is effective.    

7.  Design and implementation of a novel multi-scroll chaotic system  被引次数:2
   张朝霞  禹思敏《中国物理 B》,2009年第18卷第1期
   This paper proposes a novel approach for generating a multi-scroll chaotic system.Together with the theoretical design and numerical simulations,three different types of attractor are available,governed by constructing triangular wave,sawtooth wave and hysteresis sequence.The presented new multi-scroll chaotic system is different from the classical multi-scroll chaotic Chua system in dimensionless state equations,nonlinear functions and maximum Lyapunov exponents.In addition,the basic dynamical behaviours,including equilibrium points,eigenvalues,eigenvectors,eigenplanes,bifurcation diagrams and Lyapunov exponents,are further investigated.The success of the design is illustrated by both numerical simulations and circuit experiments.    

8.  Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system  
   谌龙  史跃东  王德石《中国物理 B》,2010年第19卷第10期
   Based on Lyapunov theory, the adaptive generalized synchronization between Chen system and a multi-scroll chaotic system is investigated. According to the form of target function a proper adaptive controller is designed, by which the controlled Chen system can be synchronized with a multi-scroll chaotic system including unknown parameters. The Lyapunov direct method is exploited to prove that the synchronization error and parameter identification error both converge to zero. Numerical simulation results verify the feasibility of the proposed method further.    

9.  Pitchfork bifurcation and circuit implementation of a novel Chen hyper-chaotic system  
   董恩增  陈增强  陈在平  倪建云《中国物理 B》,2012年第3期
   In this paper,a novel four dimensional hyper-chaotic system is coined based on the Chen system,which contains two quadratic terms and five system parameters.The proposed system can generate a hyper-chaotic attractor in wide parameters regions.By using the center manifold theorem and the local bifurcation theory,a pitchfork bifurcation is demonstrated to arise at the zero equilibrium point.Numerical analysis demonstrates that the hyper-chaotic system can generate complex dynamical behaviors,e.g.,a direct transition from quasi-periodic behavior to hyper-chaotic behavior.Finally,an electronic circuit is designed to implement the hyper-chaotic system,the experimental results are consist with the numerical simulations,which verifies the existence of the hyper-chaotic attractor.Due to the complex dynamic behaviors,this new hyper-chaotic system is useful in the secure communication.    

10.  Design and FPGA implementation of multi-wing chaotic switched systems based on a quadratic transformation  
   石擎宇  黄霞  袁方  李玉霞《中国物理 B》,2021年第2期
   Based on a quadratic transformation and a switching function,a novel multi-wing chaotic switched system is proposed.First,a 4-wing chaotic system is constructed from a 2-wing chaotic system on the basis of a quadratic transformation.Then,a switching function is designed and by adjusting the switching function,the number and the distribution of the saddle-focus equilibrium points of the switched system can be regulated.Thus,a set of chaotic switched systems,which can produce 6-to-8-12-16-wing attractors,are generated.The Lyapunov exponent spectra,bifurcation diagrams,and Poincarémaps are given to verify the existence of the chaotic attractors.Besides,the digital circuit of the multi-wing chaotic switched system is designed by using the Verilog HDL fixed-point algorithm and the state machine control.Finally,the multi-wing chaotic attractors are demonstrated via FPGA platform.The experimental results show that the number of the wings of the chaotic attractors can be expanded more effectively with the combination of the quadratic transformation and the switching function methods.    

11.  Analysis and implementation of new fractional-order multi-scroll hidden attractors  
   崔力  雒文辉  欧青立《中国物理 B》,2021年第2期
   To improve the complexity of chaotic signals,in this paper we first put forward a new three-dimensional quadratic fractional-order multi-scroll hidden chaotic system,then we use the Adomian decomposition algorithm to solve the proposed fractional-order chaotic system and obtain the chaotic phase diagrams of different orders,as well as the Lyaponov exponent spectrum,bifurcation diagram,and SE complexity of the 0.99-order system.In the process of analyzing the system,we find that the system possesses the dynamic behaviors of hidden attractors and hidden bifurcations.Next,we also propose a method of using the Lyapunov exponents to describe the basins of attraction of the chaotic system in the matlab environment for the first time,and obtain the basins of attraction under different order conditions.Finally,we construct an analog circuit system of the fractional-order chaotic system by using an equivalent circuit module of the fractional-order integral operators,thus realizing the 0.9-order multi-scroll hidden chaotic attractors.    

12.  Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation  被引次数:1
   张若洵  杨世平《中国物理 B》,2009年第18卷第8期
   The chaotic behaviours of a fractional-order generalized Lorenz system and its synchronization are studied in this paper.A new electronic circuit unit to realize fractional-order operator is proposed.According to the circuit unit,an electronic circuit is designed to realize a 3.8-order generalized Lorenz chaotic system.Furthermore,synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method.Circuit experiment simulation results verify the effectiveness of the proposed scheme.    

13.  Applications of modularized circuit designs in a new hyper-chaotic system circuit implementation  
   王蕊  孙辉  王杰智  王鲁  王晏超《中国物理 B》,2015年第24卷第2期
   Modularized circuit designs for chaotic systems are introduced in this paper.Especially,a typical improved modularized design strategy is proposed and applied to a new hyper-chaotic system circuit implementation.In this paper,the detailed design procedures are described.Multisim simulations and physical experiments are conducted,and the simulation results are compared with Matlab simulation results for different system parameter pairs.These results are consistent with each other and they verify the existence of the hyper-chaotic attractor for this new hyper-chaotic system.    

14.  Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation  
   杨文杰《中国物理 B》,2022年第2期
   Rank-1 attractors play a vital role in biological systems and the circuit systems.In this paper,we consider a periodically kicked Chua model with two delays in a circuit system.We first analyze the local stability of the equilibria of the Chua system and obtain the existence conditions of supercritical Hopf bifurcations.Then,we derive some explicit formulas about Hopf bifurcation,which could help us find the form of Hopf bifurcation and the stability of bifurcating period solutions through the Hassards method.Also,we show that rank-1 chaos occurs when the Chua model with two delays undergoes a supercritical Hopf bifurcation and encounters a periodic kick,which shows the effect of two delays on the circuit system.Finally,we illustrate the theoretical analysis by simulations and try to explain the mechanism of delay in our system.    

15.  Passive control of chaotic system with multiple strange attractors  被引次数:2
   宋运忠  赵光宙  齐冬莲《中国物理》,2006年第15卷第10期
   In this paper we present a new simple controller for a chaotic system, that is, the Newton-Leipnik equation with two strange attractors: the upper attractor (UA) and the lower attractor (LA). The controller design is based on the passive technique. The final structure of this controller for original stabilization has a simple nonlinear feedback form. Using a passive method, we prove the stability of a closed-loop system. Based on the controller derived from the passive principle, we investigate three different kinds of chaotic control of the system, separately: the original control forcing the chaotic motion to settle down to the origin from an arbitrary position of the phase space; the chaotic intra-attractor control for stabilizing the equilibrium points only belonging to the upper chaotic attractor or the lower chaotic one, and the inter-attractor control for compelling the chaotic oscillation from one basin to another one. Both theoretical analysis and simulation results verify the validity of the suggested method.    

16.  Generating one-,two-,three-and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system  
   SaraDadras  HamidRezaMomeni《中国物理 B》,2010年第19卷第6期
   A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper,which can exhibit periodic orbit and chaos under the conditions on the system parameters.Importantly,the system can generate one-,two-,three-and four-scroll chaotic attractors with appropriate choices of parameters.Interestingly,all the attractors are generated only by changing a single parameter.The dynamic analysis approach in the paper involves time series,phase portraits,Poincar’e maps,a bifurcation diagram,and Lyapunov exponents,to investigate some basic dynamical behaviours of the proposed four-dimensional system.    

17.  A novel one equilibrium hyper-chaotic system generated upon Lü attractor  
   贾红艳  陈增强  袁著祉《中国物理 B》,2010年第19卷第2期
   By introducing an additional state feedback into a three-dimensional autonomous chaotic attractor Lü system, this paper presents a novel four-dimensional continuous autonomous hyper-chaotic system which has only one equilibrium. There are only 8 terms in all four equations of the new hyper-chaotic system, which may be less than any other four-dimensional continuous autonomous hyper-chaotic systems generated by three-dimensional (3D) continuous autonomous chaotic systems. The hyper-chaotic system undergoes Hopf bifurcation when parameter c varies, and becomes the 3D modified Lü system when parameter k varies. Although the hyper-chaotic system does not undergo Hopf bifurcation when parameter k varies, many dynamic behaviours such as periodic attractor, quasi periodic attractor, chaotic attractor and hyper-chaotic attractor can be observed. A circuit is also designed when parameter k varies and the results of the circuit experiment are in good agreement with those of simulation.    

18.  Nonlinear feedback control of a novel hyperchaotic system and its circuit implementation  被引次数:1
   汪浩祥  蔡国梁  缪盛  田立新《中国物理 B》,2010年第19卷第3期
   This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system.Some of its basic dynamical properties,such as the hyperchaotic attractor,Lyapunov exponents,bifurcation diagram and the hyperchaotic attractor evolving into periodic,quasi-periodic dynamical behaviours by varying parameter k are studied.An effective nonlinear feedback control method is used to suppress hyperchaos to unstable equilibrium.Furthermore,a circuit is designed to realize this new hyperchaotic system by electronic workbench(EWB).Numerical simulations are presented to show these results.    

19.  The open-plus-closed loop (OPCL) method for chaotic systems with multiple strange attractors  
   宋运忠《中国物理》,2007年第16卷第7期
   Based on the open-plus-closed-loop (OPCL) control method a systematic and comprehensive controller is presented in this paper for a chaotic system, that is, the Newton-Leipnik equation with two strange attractors: the upper attractor (UA) and the lower attractor (LA). Results show that the final structure of the suggested controller for stabilization has a simple linear feedback form. To keep the integrity of the suggested approach, the globality proof of the basins of entrainment is also provided. In virtue of the OPCL technique, three different kinds of chaotic controls of the system are investigated, separately: the original control forcing the chaotic motion to settle down to the origin from an arbitrary position of the phase space; the chaotic intra-attractor control for stabilizing the equilibrium points only belonging to the upper chaotic attractor or the lower chaotic one; and the inter-attractor control for compelling the chaotic oscillation from one basin to another one. Both theoretical analysis and simulation results verify the validity of the proposed means.    

20.  Spectrum Analysis and Circuit Implementation of a New 3D Chaotic System with Novel Chaotic Attractors  
   董高高  郑松  田立新  杜瑞瑾《中国物理快报》,2010年第2期
   The new autonomous system with only three equilibrium points is introduced. This system does not belong to the generalized Lorenz systems. The novel attractors are observed over a large range of parameters, which have rarely been reported in previous work. As an important component in chaotic signal generators, a physical circuit has been designed. The experimental results are in agreement with numerical simulations. More significantly, spectral analysis shows that the system has an extremely broad frequency spectral bandwidth in 0-131.6 Hz, without investigating any possible electronic techniques, which is more desirable for secure communications.    

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