Nonlinear Dynamical Systems Utilizing Pulse Modulation Signals and a CMOS Chip Generating Arbitrary Chaos

  • Authors:
  • Takashi Morie;Souta Sakabayashi;Makoto Nagata;Atsushi Iwata

  • Affiliations:
  • -;-;-;-

  • Venue:
  • MICRONEURO '99 Proceedings of the 7th International Conference on Microelectronics for Neural, Fuzzy and Bio-Inspired Systems
  • Year:
  • 1999

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Abstract

This paper presents nonlinear dynamical systems utilizing pulse modulation signals suitable for VLSI implementation. The proposed circuits implement discrete- time continuous-state dynamics by analog processing in time domain. Arbitrary nonlinear transfer functions can be generated using the conversion from an analog voltage to a pulse-width modulation (PWM) signal. The nonlinear waveforms that have the same shape as the inverse function of the desired transfer function are supplied. A CMOS chip generating arbitrary chaos has been designed and fabricated using a 0.4µm CMOS process. Chaos using the tent map and logistic map has successfully been observed using the chip.