Analysis of nonlinear dynamic arrays, through spatial mode decomposition

Author

Civalleri, Pier Paolo ; Gilli, Marco

Author_Institution

Dipt. di Elettronica, Politecnico di Torino, Italy

Volume

5

fYear

1999

fDate

1999

Firstpage

310

Abstract

A method for the spectral analysis of the spatial modes of a 1D array of Chua´s circuits is proposed. The analysis is based on two steps: (a) the state is represented in terms of a set of spatial eigenfunctions; (b) a set of nonlinear differential equations involving the coefficients of the eigenfunctions is derived; this set is completely equivalent to the original set of equations describing the circuit array. The spectral analysis allows us to explain some spatio-temporal dynamic phenomena occurring in arrays of Chua´s circuits. The technique can be extended to more complex 1D arrays and to 2D arrays of nonlinear cells

Keywords

Chua´s circuit; arrays; eigenvalues and eigenfunctions; nonlinear differential equations; nonlinear network analysis; spectral analysis; 1D array; Chua circuits; circuit array; nonlinear differential equations; nonlinear dynamic arrays; spatial eigenfunctions; spatial mode decomposition; spatio-temporal dynamic phenomena; spectral analysis; Boundary conditions; Cells (biology); Circuits; Differential equations; Eigenvalues and eigenfunctions; Image processing; Linear approximation; Nonlinear equations; Pattern formation; Spectral analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-5471-0

Type

conf

DOI

10.1109/ISCAS.1999.777571

Filename

777571