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Dergiler / Chaos Theory and Applications / 2019 / Volume: 1 Issue: 1

A Logistic Map Runge Kutta-4 Solution for FPGA Using Fixed Point Representation

Emre Güngör(ALANYA HAMDULLAH EMIN PASA UNIVERSITY)0000-0003-4278-6294
Enver Cavus(ANKARA YILDIRIM BEYAZIT UNIVERSITY)
İhsan Pehlivan(SAKARYA UYGULAMALI BİLİMLER ÜNİVERSİTESİ)0000-0001-6107-655X
Sayfa
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Yayın Tarihi
2019-11-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Error margin changes based on bit-length of fixed point number representation design.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Logistic map can show simple chaotic behavior pattern.
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Temel Bulgular & Veri:Hence, simple implementation of logistic map with chaotic behaviour is studied on how to solve differential equations with Runge Kutta Order-4 on FPGA and compared with floating point and fixed point representations.
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Sonuç & Katkı:Error margin changes based on bit-length of fixed point number representation design.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Chaos · Logistic Map · FPGA

Abstract

Logistic map can show simple chaotic behavior pattern. Chaotic patterns with their irregularity and unpredictability properties are often used for random number generation and encryption. Hence, simple implementation of logistic map with chaotic behaviour is studied on how to solve differential equations with Runge Kutta Order-4 on FPGA and compared with floating point and fixed point representations. In the study, the logistic map equation is modelled with Verilog hardware description language and system is simulated using ModelSim and MATLAB environment. This paper reveals fundemental chaotic pattern implementation using logistic map to obtain unpredictable resuts on FPGA using xed point number representation. Experimental results confirm both Verilog and MATLAB implementation produce same results. The results obtained from system in different generations can be converted to fixed point numeric values with an error margin. Error margin changes based on bit-length of fixed point number representation design.

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Bu Makaleye Atıf Yap

Güngör, E., Cavus, E., Pehlivan, İ. (2019). A Logistic Map Runge Kutta-4 Solution for FPGA Using Fixed Point Representation. Chaos Theory and Applications, Volume: 1 Issue: 1. https://ajindex.com/articles/1378688

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Kaynakça (14)

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