Title :
A structurally stable realization for Jacobi elliptic functions
Author :
Ji, Honghao ; Newcomb, Robert W.
Author_Institution :
ECE Dept., Maryland Univ., College Park, MD, USA
Abstract :
By adding convergence terms, the dynamical equations for the generation of elliptic functions versus time are presented. This results in a structurally stable oscillator with limit cycles, which are Jacobi elliptic functions. From these equations a CMOS realization is developed with the nonlinearities obtained by using analog four-quadrant multipliers of the type developed by Kimura (1995).
Keywords :
CMOS analogue integrated circuits; analogue multipliers; circuit stability; elliptic equations; function approximation; limit cycles; oscillators; solitons; CMOS realization; Jacobi elliptic functions; analog four-quadrant multipliers; convergence terms; dynamical equations; elliptic function generation; limit cycles; multi-soliton systems; nonlinearities; structurally stable oscillator; structurally stable realization; Damping; Educational institutions; Hardware; Jacobian matrices; Laboratories; Limit-cycles; Nonlinear equations; Oscillators; Solitons; Very large scale integration;
Conference_Titel :
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Print_ISBN :
0-7803-7448-7
DOI :
10.1109/ISCAS.2002.1010471
