Simulating Nonlinear Waves and Partial Differential Equations via CNN—Part II: Typical Examples

Tibor Kozek, T. Roska, Kåroly Lotz, Leon O. Chua, Dietrich Wolf, Ronald Tetzlaff, Frank Puffer

Research output: Contribution to journalArticle

66 Citations (Scopus)

Abstract

Application of cellular neural network (CNN) paradigm of locally connected analog array-computing structures is considered for solving partial differential equations (PDE’s) and systems of ordinary differential equations (ODE). Three examples are presented: a chain of particles with nonlinear interactions, solitons in a nonlinear Klein-Gordon equation, and an application of a reaction-diffusion CNN for fingerprint enhancement.

Original languageEnglish
Pages (from-to)816-820
Number of pages5
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume42
Issue number10
DOIs
Publication statusPublished - 1995

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Cellular neural networks
Partial differential equations
Solitons
Ordinary differential equations

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Simulating Nonlinear Waves and Partial Differential Equations via CNN—Part II : Typical Examples. / Kozek, Tibor; Roska, T.; Lotz, Kåroly; Chua, Leon O.; Wolf, Dietrich; Tetzlaff, Ronald; Puffer, Frank.

In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 42, No. 10, 1995, p. 816-820.

Research output: Contribution to journalArticle

Kozek, Tibor ; Roska, T. ; Lotz, Kåroly ; Chua, Leon O. ; Wolf, Dietrich ; Tetzlaff, Ronald ; Puffer, Frank. / Simulating Nonlinear Waves and Partial Differential Equations via CNN—Part II : Typical Examples. In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 1995 ; Vol. 42, No. 10. pp. 816-820.
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