A novel chaotic oscillator is shown to admit an exact analytic solution and a simple matched
filter. The oscillator is a hybrid dynamical system including both a differential equation and a …

In this paper we consider the Duffing equation forced with a pulse function, whose moments
of discontinuity depend on the initial data. Existence of the chaos through period-doubling …

An alternative approximate implementation of an exactly solvable chaotic oscillator circuit is
presented. In this implementation, the previously used op amp based NIC sinusoidal …

An exactly solvable chaotic oscillator with folded-band dynamics is shown. The oscillator is a
hybrid dynamical system containing a linear ordinary differential equation and a nonlinear …

A chaotic hybrid dynamical system is introduced and its analytic solution is derived. The
system is described as an unstable first order filter subject to occasional switching of a set …

We describe a new approach to random-signal radar based on the recent discovery of
analytically solvable chaotic oscillators. These surprising nonlinear systems generate …

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A novel hybrid dynamical system comprising a continuous and a discrete state is introduced
and shown to exhibit chaotic dynamics. The system includes an unstable first-order filter …

In this paper, we present and evaluate a novel multilevel hybrid-chaotic oscillator. The
proposed generalized multilevel-hybrid chaotic oscillator (GM-HCO) was created by …

Presented is an electronic implementation of a matched filter intended for chaos-based
communication systems. While implementing the transmitter side of such systems is …