This paper reports on the design and experimental results of a subthreshold-CMOS chaotic oscillator suitable for single-chip VLSI synthesis of coupled maps generating spatio-temporal chaos. The circuit is autonomous and generates chaotic signals in three state variables in a manner analogous to a Chua circuit. Previous CMOS oscillators operate above threshold and utilize current over two orders...

In recent years, a growing number of discrete chaotic cryptographic algorithms have been proposed. However, most of them encounter some problems such as the lack of robustness and security. In this Letter, we introduce a new image encryption algorithm based on one-dimensional piecewise nonlinear chaotic maps. The system is a measurable dynamical system with an interesting property of being eith...

This paper reports on the design of a subthreshold-CMOS chaotic oscillator based on Chua's circuit. The circuit is autonomous and generates chaotic signals from three state variables in a manner analogous to a Chua circuit. Previous CMOS IC versions of the Chua circuit operate above threshold and make use of capacitors over 200 times larger than the subthreshold design. Also, this design is bas...

The subject of parameter estimation in linear signals embedded in white Gaussian noise has been extensively studied. The subject of nonlinear choatic signals, however, has received much less attention. This paper will examine some of the known techniques for estimating the parameters of chaotic signals such as iterative maps, including the tent map and the logistic map.

This paper reports on the design of a subthreshold-CMOS chaotic oscillator based on Chua's circuit. The circuit is autonomous and generates chaotic signals from three state variables in a manner analogous to a Chua circuit. Previous CMOS IC versions of the Chua circuit operate above threshold and make use of capacitors over 200 times larger than the subthreshold design. Also, this design is bas...

The circle map and its basic properties as non-linear oscillator are discussed and related to other iterative mappings as proposed in the literature. The circle map is the simplest iterative generator for sustained periodic and chaotic sounds and is easy to interpret as a basic sine oscillator with a nonlinear perturbation.

For generic Hamiltonian systems we derive predictions for dynamical tunneling from regular to chaotic phase-space regions. In contrast to previous approaches, we account for the resonance-assisted enhancement of regular-to-chaotic tunneling in a nonperturbative way. This provides the foundation for future semiclassical complex-path evaluations of resonance-assisted regular-to-chaotic tunneling....

Wi-Fi and Zigbee networks are widely deployed in wireless industrial control and monitoring applications. The security protocols used in these wireless networks rely on stream cipher to encrypt data before being transmitted. These protocols are secure but they don’t respect the real-time requirement of industrial control. Chaotic systems are able to produce stream cipher with higher randomicity...

Decoherence in quantum systems which are classically chaotic is studied. It is wellknown that a classically chaotic system when quantized loses many prominent chaotic traits. We show that interaction of the quantum system with an environment can under general circumstances quickly diminish quantum coherence and reenact some characteristic classical chaotic behavior. We use the Feynman-Vernon in...