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## Advances in Electronic Chaotic Oscillators with Applications in Communication Systems and Radar System

##### Date

2019-07-18##### Author

Rhea, Benjamin

##### Type of Degree

PhD Dissertation##### Department

Electrical and Computer Engineering##### Restriction Status

EMBARGOED##### Restriction Type

Auburn University Users##### Date Available

07-31-2020##### Metadata

Show full item record##### Abstract

Chaos theory is an emerging topic in electronics due to some of the inherent properties that
can be considered advantageous in particular applications. Some of these properties include
topological mixing, continuous power spectral density, and long-term aperiodic behavior. In
particular, the topological mixing and long-term aperiodic behavior can be useful in generating
random numbers for security or encryption applications. Similarly, the continuous power
spectral density could be advantageous in communication and radar systems. Many of these
systems are often defined mathematically using an ideal set of ordinary differential equations.
These systems are usually classified as either autonomous or non-autonomous systems. An
autonomous system is not explicitly dependent on any variable, where as a non-autonomous
system is explicitly dependent on a variable. This variable is often a time dependency. These
dependencies can lead to both systems being implemented in electronics with different types
of challenges. An autonomous system might have an elegant mathematical solution or can be
implemented in a single PCB, but often requires high component count in addition to dealing
with finite switching times and propagation delays in the feedback path. These limitations
can lead to difficulty in scaling the hardware realizations to higher frequency applications. A
non-autonomous system may be somewhat difficult to find a closed-form solution to, but it can
be realized in a variety of very simple electronic circuits. These simple circuits are externally
excited, which can be a problem in some applications. This work investigates these challenges
by designing, simulating, and implementing both autonomous and non-autonomous systems in
hardware. Three different systems are presented here in this work. The first is an autonomous
exactly solvable chaotic system with a second-order filter. The second is a similar autonomous
exactly solvable chaotic system with a first-order filter. The third system is a non-autonomous
nonlinear transistor circuit where the forcing function is integrated onto a single PCB.

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- Advances in Chaos Electronics FINAL 7_18_2019.pdf
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