Analytically solvable chaotic oscillator based on a first-order filter
NJ Corron, RM Cooper, JN Blakely - Chaos: An Interdisciplinary …, 2016 - pubs.aip.org
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 …
system is described as an unstable first order filter subject to occasional switching of a set …
Exact analytic solution for a chaotic hybrid dynamical system and its electronic realization
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 …
and shown to exhibit chaotic dynamics. The system includes an unstable first-order filter …
Ambiguity in range–Doppler determination using waveforms of a solvable chaotic oscillator
JN Blakely, NJ Corron - Signal processing, 2014 - Elsevier
The ambiguity function is derived analytically for waveforms from a chaotic oscillator that has
an analytic solution. The chaotic solutions of this oscillator can be expressed as a …
an analytic solution. The chaotic solutions of this oscillator can be expressed as a …
Compensation for imperfect switching in a chaotic hybrid oscillator circuit
NJ Corron - 2015 IEEE 58th International Midwest Symposium …, 2015 - ieeexplore.ieee.org
A modification is derived to compensate for imperfect switching in an exactly solvable
chaotic hybrid oscillator. The imperfect switching includes latency and bandwidth effects that …
chaotic hybrid oscillator. The imperfect switching includes latency and bandwidth effects that …
Comparison of pseudorandom numbers generators and chaotic numbers generators used in differential evolution
L Skanderova, A Řehoř - … 2014: Prediction, Modeling and Analysis of …, 2014 - Springer
Differential evolution is one of the great family of evolutionary algorithms. As well as all
evolutionary algorithms differential evolution uses pseudorandom numbers generators in …
evolutionary algorithms differential evolution uses pseudorandom numbers generators in …
Synthesizing antipodal chaotic waveforms
DW Hahs, NJ Corron, JN Blakely - Journal of the Franklin Institute, 2014 - Elsevier
Chaotic waveforms are natural information carriers since a correspondence can be
established between the symbolic dynamics of a chaotic oscillator and the symbols of a …
established between the symbolic dynamics of a chaotic oscillator and the symbols of a …
Analytic solution for a complex network of chaotic oscillators
Chaotic evolution is generally too irregular to be captured in an analytic solution.
Nonetheless, some dynamical systems do have such solutions enabling more rigorous …
Nonetheless, some dynamical systems do have such solutions enabling more rigorous …