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...

Fundamental barriers in practical filtering of nonlinear spatio-temporal chaotic systems are model errors attributed to the stiffness in resolving multiscale features. Recently, reduced stochastic filters based on linear stochastic models have been introduced to overcome such stiffness; one of them is the Mean Stochastic Model (MSM) based on a diagonal Ornstein-Uhlenbeck process in Fourier spac...

Sciences exist to demonstrate the fundamental order underlying nature. Chaos/complexity theory is a novel and amazing field of scientific inquiry. Notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (Retrieved from http://www.inc...

We experimentally and numerically observe synchronization of chaos in two mutually coupled vertical-cavity surface-emitting lasers (VCSELs) with time delay. We observe in-phase and antiphase synchronization of polarization-resolved chaotic temporal wave forms under the condition of wavelength matching. We investigate leader-laggard relationship between two chaotic wave forms of mutually coupled...

Dynamical networks feature a rich variety of spatio-temporal phenomena including synchrony, bursting and avalanches, formation of clusters and waves, intermittency, and chaos. Understanding the mechanisms underlying network dynamics requires a combination of tools from several mathematical disciplines: dynamical systems, stochastic processes, and discrete mathematics. The talks in this special ...

We present a simple method for real-time encoding of information in the interspike intervals of a homoclinic chaotic system. The method has been experimentally tested on a CO2 laser with feedback displaying Sil'nikov chaos and synchronized with an external pulsed signal. Information is encoded by the length of the temporal intervals between consecutive pulses of the external signal. This length...

In order to exploit generalized chaotic synchronization phenomena for the solution of temporal pattern recognition problems, a chaotic dynamical system representing the class of signals that are to be recognized must be established. This system can be determined by means of identification techniques. Although the fulfillment of the chaotic condition could appear as a constraint, it is shown her...

The Spatio-Temporal Structure of Spiral-Defect Chaos Stephen W. Morris Department of Physics and Erindale College, University of Toronto 60 St. George St., Toronto, Ontario, Canada M5S 1A7 Eberhard Bodenschatz Laboratory of Atomic and Solid State Physics, Cornell University Ithaca, New York, 14853. David S. Cannell and Guenter Ahlers Department of Physics and Center for Nonlinear Science Univer...

Affective disorders tend to be recurrent and progressive and illness patterns typically evolve from isolated episodes at the beginning to more rapid, rhythmic and finally irregular “chaotic” mood patterns. Chararacteristic timecourse and disease patterns have prompted the consideration of nonlinear dynamics and chaos. In this paper we review some of our recent work where we addressed the releva...