A structurally stable realization for Jacobi elliptic functions

A structurally stable realization for Jacobi elliptic functions

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 nonlineariti...

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Bibliographic Details
Published in:2002 IEEE International Symposium on Circuits and Systems (ISCAS) Vol. 4; p. IV
Main Authors: Honghao Ji, Newcomb, R.W.
Format: Conference Proceeding
Language:English
Published: IEEE 2002
Subjects:
Damping
Educational institutions
Hardware
Jacobian matrices
Laboratories
Limit-cycles
Nonlinear equations
Oscillators
Solitons
Very large scale integration
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Summary: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).
ISBN:9780780374485
0780374487
DOI:10.1109/ISCAS.2002.1010471