Generating solitons in lattices of nonlinear circuits

Author

Fortuna, Luigi ; Frasca, Mattia ; Rizzo, Alessandro

Author_Institution

Dipt. Elettrico Elettronico e Sistemistico, Catania Univ., Italy

Volume

3

fYear

2001

Firstpage

680

Abstract

A lattice of nonlinear circuits is exploited in order to emulate the soliton phenomena. The Korteweg-de Vries equation, traditionally used to model unidirectional waves propagating in a dispersive energy conserving medium, has been arranged in a lattice form and mapped onto a one dimensional CNN structure. Several experimental results show that the waves revealed on the circuit present the same properties of solitons. In particular, they preserve their speed and shape after a collision

Keywords

Korteweg-de Vries equation; SPICE; cellular neural nets; nonlinear dynamical systems; nonlinear network analysis; piecewise linear techniques; reaction-diffusion systems; solitons; Korteweg-de Vries equation; SPICE; complex dynamics; extended state controlled CNN; lattice of nonlinear circuits; one dimensional CNN structure; piecewise linear approximation; soliton collision; solitons generation; Cellular neural networks; Differential equations; Dispersion; Lattices; Legged locomotion; Nonlinear circuits; Nonlinear equations; Partial differential equations; Shape; Solitons;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921402

Filename

921402