Following a non-technical personal reminiscence of the author's conception of Chua's circuit, this paper presents the systematic sequence of technical steps which the author used to design his chaotic circuit. The design procedure. though straightforward in nature. could not have been concocted without a working knowledge of several crucial properties of nonlinear circuits and their physical re...

We present a nonparametric way to retrieve an additive system of differential equations in embedding space from a single time series. These equations can be treated with dynamical systems theory and allow for long-term predictions. We apply our method to a modified chaotic Chua oscillator in order to demonstrate its potential.

The three basic electrical circuit elements, namely, capacitor, which was invented by Ewald Georg von Kleist in 1745, resistor, which was invented by Georg Simon Ohm in 1827, and inductor, which was invented by Michael Faraday in 1831, were constructed by experimental physicists to observe the lumped behavior of relevant measurable electrical parameters across the devices. In 1971, Leon Chua po...

– We show that it is possible for chaotic systems to display the main features of coherence resonance. In particular, we show that a Chua model, operating in a chaotic regime and in the presence of noise, can exhibit oscillations whose regularity is optimal for some intermediate value of the noise intensity. We find that the power spectrum of the signal develops a peak at finite frequency at in...

In this paper we consider the anticipating synchronization of chaotic time-delayed Lur'e-type systems in a master-slave setting. We introduce three scenarios for anticipating synchronization, and give sufficient conditions for the existence of anticipating synchronizing slave systems in terms of linear matrix inequalities. The results obtained are illustrated on a time-delayed Rossler system an...

In coupled chaotic bistable systems such as Lorenz and Chua oscillators, two-phase domains corresponding to two lobes are formed. The dynamics of each domain is confined to one lobe and typically exhibits one of the two types of behavior: oscillation death or nearly periodic oscillations. We elucidate the role of intrinsic broad time scales on the confinement and the oscillation death.