Multiscroll floating gate–based integrated chaotic oscillator

Abstract

In this work, we proposed a voltage-to-current cell based on a Complementary metal-oxide-semiconductor (CMOS) inverter designed by using floating gate transistors. We demonstrate its usefulness for the design of stair-type and sawtooth functions to be used in the implementation of a multiscroll chaotic oscillator. The main advantage of using floating gate transistors to design the nonlinear functions is the elimination of external reference DC sources, as is typically done in most of the nonlinear functions that generate multiscroll attractors. The key guidelines for the design of our proposed voltage-to-current cell are given to provide good performances in the design of an integrated multiscroll chaotic oscillator. HSPICE simulations are presented to demonstrate the usefulness of the proposed cell to generate multiscroll attractors. Finally, simulation results before and after layout are presented to show the good agreement with respect to theoretical results. HSPICE simulations of the post-layout design are in accordance with the system behavior.

Integrated circuit generating 3- and 5-scroll attractors

“…Moreover, some of them do have partial analytical solutions [1][2][3][4][5][6][7][8][9][10][11]. For instance [3] is a seminal paper on continuous time multi-scroll attractors, and it is a generalization of the Chua's circuit.…”

“…However, an important drawback of all those electronic realizations is that they need many external direct current (DC) signal references [8]. Therefore, the motivation of this work is to highlight the integrated circuit (IC) realization of a FGMOS-based multi-scroll oscillator recently introduced in [9]. Our proposed IC implementation has the capability to generate for the first time, 3-and 5-scroll attractors without using numerous external DC references.…”

“…Other PWL-function based approaches are summarized in [5]. The majority of them have been experimentally verified by using discrete electronic components, whereas attention to the integration realizations has been less investigated [7][8][9].…”

“…This system generates multi-scroll attractors by using saw-tooth PWL functions, as demonstrated in [9]. See (2) for generating n ¼ 2k þ 1 odd-scroll attractors and (3) for n ¼ 2k even-scroll attractors, where k is an integer.…”

Current-Mode Network Structures Dedicated for Simulation of Dynamical Systems with Plane Continuum of Equilibrium

“…Besides dynamical systems designed by using discrete components, there were successful e®orts to construct chaotic oscillators fully-or partially-integrated using available MOS technology. [24][25][26][27] Interesting implementation of grid spiral attractors using Arduino open source integrated development environment is presented in Ref. 28 together with the application of chaos in the selected secure communication issues.…”