This study constructs a novel four-dimensional fractional-order chaotic system. It verifies chaotic nonlinear dynamic behaviors and physical reliability by numerical simulation and hardware circuit design. For a class of parameter uncertainty fractional different-lags ( i ) chaotic systems, the authors design a time-delayed ( ) synchronization controllers and parameter adaptive laws. It proves ...

Chaotic compressive sensing is a nonlinear framework for compressive sensing. Along the framework, this paper proposes a chaotic analog-to-information converter, chaotic modulation, to acquire and reconstruct band-limited sparse analog signals at sub-Nyquist rate. In the chaotic modulation, the sparse signal is randomized through state modulation of continuous-time chaotic system and one state ...

Based on the fractional order of nonlinear system for love model with a periodic function 10 as an external force, analyzed the characteristics of the chaotic dynamic in this study. The 11 relationship between the chaotic dynamic of the fractional-love model with the external force and 12 the fractional-order system was analyzed when the parameters are fixed. Further, we also studied 13 the rel...

The chaotic behavior of the Rabinovich–Fabrikant system, a model with multiple topologically different chaotic attractors, is analyzed. Because of the complexity of this system, analytical and numerical studies of the system are very difficult tasks. Following the investigation of this system carried out in [Danca & Chen, 2004], this paper verifies the presence of multiple chaotic attractors in...

Based on the fractional order of nonlinear system for love model with a periodic function as an external environment, we analyze the characteristics of the chaotic dynamic. We analyze the relationship between the chaotic dynamic of the fractional order love model with an external environment and the value of fractional order (α, β) when the parameters are fixed. Meanwhile, we also study the rel...

In this paper, generalized synchronization (GS) is extended from real space to complex space, resulting in a new synchronization scheme, complex generalized synchronization (CGS). Based on Lyapunov stability theory, an adaptive controller and parameter update laws are designed to realize CGS and parameter identification of two nonidentical chaotic (hyperchaotic) complex systems with respect to ...

In this paper, a real-time implementation of the Rössler chaotic system in a Field Programmable Gate Array (FPGA) is presented. At first, we use directly the VHDL language for the hardware description of the system, contrary to some previous works where the Xilinx system generator of MATLAB/SIMULINK is used to generate the VHDL code. Then, after a step of optimization, to reduce the resources o...

This Letter further investigates the synchronization of a unified chaotic system via different methods. Several sufficient theorems for the synchronization of the unified chaotic system are deduced. A scheme of secure communication based on the synchronization of the unified chaotic system is presented. Numerical simulation shows its feasibility.  2002 Elsevier Science B.V. All rights reserved.

In this study, we investigate synchronization phenomena observed in coupled chaotic circuits as a ring topology when two types of the bifurcation parameters to generate chaotic and three-periodic attractors are arranged. By using computer simulations and circuit experiments, we observe a collision between chaotic and periodic attractors depending on the number of chaotic attractors and the loca...

In this letter, adaptive synchronization of two uncertain chaotic systems is presented using adaptive backstepping with tuning functions. The master system is any smooth, bounded, linear-in-the-parameters nonlinear chaotic system, while the slave system is a nonlinear chaotic system in the strict-feedback form. Both master and slave systems are with key parameters unknown. Global stability and ...