This paper presents a new no-equilibrium 4-D hyperchaotic multistable system with coexisting hidden attractors. One prominent feature is that by varying the parameter or initial value, can generate several nonlinear complex attractors: periodic, quasiperiodic, multiple topology chaotic, and hyperchaotic. The dynamics complexity of proposed were investigated through Lyapunov exponents (LEs), bifurcation diagram, Poincaré map, spectral entropy (SE). simulation calculation results show has very...

In this paper, a low-dimensional hidden nonlinear system is constructed by replacing two linear resistors of simple integrating circuit with active memristors. The was analyzed in detail using the Lyapunov exponent, 0-1 Test, Poincaré map, phase diagram, power spectral density time-domain waveform, and chaotic characteristic diagram. results show that can oscillate itself under zero initial conditions, there are various transient transition behaviors, such as from chaos to limit cycle,...

As a new type of nonlinear electronic component, memristor can be used in chaotic system to increase the complexity system. In this paper, flux-controlled is applied an existing system, and novel five-dimensional with high hidden attractors proposed. Analyzing characteristics we find that has many quasi-periodic limit cycles; unique attractor structure Poincaré map also reflects novelty for system; very when measured through spectral entropy. addition, under different initial conditions,...

Abstract To enrich the chaos theory and improve complex characteristics of system. A switched chaotic system is proposed by connecting memristor to Rössler through a time-switching function in this paper. Under action switching function, can switch between two subsystems with different structures. The has multiple coexisting attractors for initial values exhibits quasi-periodic offset boosting, as well transient transition behaviors. It interesting note that besides initial-dependent there...

Compared with fractional-order chaotic systems a large number of dimensions, three-dimensional or integer-order exhibit low complexity. In this paper, two novel four-dimensional, continuous, fractional-order, autonomous, and dissipative system models higher complexity are revised. Numerical simulation the was used to verify that new very rich dynamic behavior. Moreover, synchronization method for is also an issue demands attention. order apply Lyapunov stability theory, it often necessary...

Switchable chaotic systems are more suitable for applying in secure communication because of having complex nonlinear dynamic characteristics. A switching method and its circuit different fractional-order system proposed this paper. Through an analog switch control, the can realize two systems, which 0.8-order 0.9-order respectively. The provides options application chaos to practical engineering.

Abstract The study of high-dimensional chaotic systems has been the subject considerable research interest, whereas complex characteristics low-dimensional have largely overlooked. A new dimensional (3D) system containing only two kinds nonlinear terms is constructed based on Lorenz to enrich theory and improve properties systems. lacks a symmetric structure; however, under influence parameter α, attains state can produce attractors with structure. Under β, realize regulation amplitude,...

As a new device, the memristor can increase nonlinearity and complexity of system. The offset boosting realize pre-modulation signal greatly reduce number modulation devices. In this paper, we propose memristive chaotic circuit system with hidden attractor. contains voltage-controlled has parameter-dependent behavior. Especially for wide-band signal, it is usually required that unipolar, needs large capacitance to polarity conversion. control well meet requirements monopolar signals, which...

In recent years, as the research of hidden chaotic systems has become a hot spot, memristor theory also made some progress. this paper, novel memristive system is proposed by using non-linear characteristics and introducing it into Sprott-2 system. Numerical simulations phase diagram, Lyapunov exponential spectrum, time-domain power spectrum density Poincare map, 0-1 test diagram have proved existence chaos. At same time, derivation process from state equation to circuit given. According...

Two classical fractional-order complex chaotic systems and their projections of the attractor phase diagram are studied in this paper. The proves validity nonlinear characteristics system. What is more, an active misalignment synchronization controller based on Fractional-order System Stability Theory proposed Finally, numerical simulation results indicate that could realize between different systems.

Abstract Through the phase space reconstruction technology, it is proved that there are chaotic behaviors on highway ramp. The establishment of a traffic flow prediction model can also solve impact unexpected accidents or delayed management. Short term an important prerequisite for intelligent management system. wavelet transforms neural network be used to realize short-term

Abstract Reconstruction techniques can capture the attractor data of dissipative chaotic systems, which will lead to a threat security cryptosystem. Since conservative systems do not form attractors, they avoid defects system and resist attacks. This paper aims construct new type active charge-controlled memristor based on triangular wave apply it build non-Hamiltonian globally circuit, characteristic roots are all imaginary axis. The is critically stable presents extremely high sensitivity...

In this paper, a signal generator is designed to realize six different fractional-order chaotic systems. Based on generalized Lorenz system, four-dimensional hyperchaotic system constructed by adding one-dimensional variables. Six are selected through four analog switches. addition, the fractional order of mixed order, which 0.8 and 0.9, respectively. Using pure devices, kinds for systems with incommensurate orders designed. The whole circuit consists only operational amplifiers, three...

The design of a chaotic circuit has been thought as key factor for the application nonlinear system. In order to realize systems in various engineering fields, based on three-dimensional generalized Lorentz system, novel different fractional-order four-dimensional which could improve complexity signals, is presented. dynamical properties proposed system are investigated way bifurcation and phase diagram. Analysis shows that lowest 3.39. What more, new was achieved analog circuits with two...

To provide tourists with a good experience and enhance the value of natural resources, construction intelligent scenic spots has become urgent task rapid development tourism in China. In this paper, we first analyze basic concept demand analysis for smart city spot. Then, framework key implementation technologies spot are given. Finally, discussed, including ZigBee technology, video splicing, integration, internet protocol (IP) network public address. This scheme provides new choice