In classically chaotic systems, small differences in initial conditions are exponentially magnified over time. However, it was observed experimentally that the (necessarily quantum) "branched flow" pattern of electron flux from a quantum point contact (QPC) traveling over a random background potential in two-dimensional electron gases remains substantially invariant to large changes in initial ...

The problem of chaos synchronization is to design a coupling between two chaotic systems (master-slave/driveresponse systems configuration) such that the chaotic time evaluation becomes ideal and the output of the slave (response) system asymptotically follows the output of the master (drive) system. This paper has addressed the chaos synchronization problem of two chaotic systems using the Non...

First, this paper announces a seven-term novel 3-D chaotic system with a cubic nonlinearity and two quadratic nonlinearities. The phase portraits of the novel 3-D chaotic system are displayed and the mathematical properties are discussed. The proposed novel 3-D chaotic system has three equilibrium points, which are all unstable. We shall show that the equilibrium point at the origin is a saddle...

In this article, we intend to demonstrate on digital active current control in ring laser gyros (RLG). The specific source errors that effect the performance of gyro is discussed. This work proposes a system detection and address deficiencies conventional analog circuits. hardware framework constructed using Field Programmable Gate Array (FPGA) required interface, which incorporates driving acq...

The need for micromechanical inertial sensors is increasing in future electronic stability control (ESC) and other positioning, navigation and guidance systems. Due to the rising density of sensors in automotive and consumer devices the goal is not only to get high performance, robustness and smaller package sizes, but also to optimize the energy management of the overall sensor system. This pa...

In past years much interest has been shown in the development of optical gyroscopes which offer the potential of solid state, highly reliable performance immune from many of the mechanical effects which restrict the performance of conventional spinning mass gyroscopes. Both ring laser and fiber optic gyros operate by sensing the difference in propagation time between beams of light traveling in...

The wavelet transform method originated by Wei et al. (2002) [19] is an effective tool for enhancing the transverse stability of the synchronous manifold of a coupled chaotic system. Much of the theoretical study on this matter is centered on networks that are symmetrically coupled. However, in real applications, the coupling topology of a network is often asymmetric; see Belykh et al. (2006) [...

In the realm of nonlinear control, feedback linearization via differential geometric techniques has been a concept of paramount importance. However, the applicability of this approach is quite limited, in the sense that a detailed knowledge of the system nonlinearities is required. In practice, most physical chaotic systems have inherent unknown nonlinearities, making real-time control of such ...

In this paper, the authors investigate the anti-synchronization of chaotic Pan, Lorenz, and Lu systems and anti-synchronization of Liu and Cai systems. Global exponential synchronization of Pan, Lorenz, Lu, Liu, and Cai chaotic systems are established by using Lyapunov stability theory. Numerical simulations are performed to illustrate the effectiveness of the proposed synchronization schemes f...

This paper presents a secure digital communication system based on chaotic modulation, cryptography, and chaotic synchronization techniques. The proposed system consists of a Chaotic Modulator (CM), a Chaotic Secure Transmitter (CST), a Chaotic Secure Receiver (CSR) and a Chaotic Demodulator (CDM). The CM module incorporates a chaotic system and a novel Chaotic Differential Peaks Keying (CDPK) ...