Non-inductive chaotic circuit only including two operational amplifiers based on Wien bridge oscillator

Abstract

The invention discloses a non-inductive chaotic circuit only including two operational amplifiers based on a Wien bridge oscillator. The non-inductive chaotic circuit comprises the Wien bridge oscillator, a capacitor C1, a resistor R and a simplified Chua'sdiode RN, wherein the capacitor C1 is connected to two ends of the simplified Chua's diodein parallel (marked as ends 1 and 1'); the right end of the resistor R is connected to the end 1, the left end of the resistor R is connected to the input end of the Wien bridge oscillator (marked as an end 2), and an output end of the Wien bridge oscillator is connected to an end 2'; and the end 1' and the end 2' are connected to the ground. The non-inductive chaotic circuit adopts a one-level operational amplifier to realize the simplified Chua's diode, so that the simple non-inductive Chua's chaotic circuit only including two operational amplifiers is realized. The provided chaotic circuit can produce complicated nonlinear phenomena, such as periodical limit cycles, chaotic attractors, coexisting attractors, twinning double-scroll chaotic attractors and twinning limit cycles. The non-inductive chaotic circuit becomes a simplest non-inductive Chua's chaotic circuit, and has a larger impelling action on development of the chaotic system.

Description

technical field [0001] The invention relates to a non-inductive chaotic signal generating device based on a Wien bridge oscillator. The device has a Chua's circuit topology, and a simplified Chua's diode is realized by using a first-stage operational amplifier, thereby realizing a Chua's diode with only two A non-inductive, simple Chua circuit of an operational amplifier. The chaotic circuit proposed by the invention can generate complex nonlinear phenomena such as periodic limit cycle, chaotic attractor, coexistence attractor, twin-scroll chaotic attractor, twin limit cycle and the like. Background technique [0002] The analog electronic circuit constructed by active nonlinear elements and linear dynamic elements is easy to realize chaotic oscillation. In addition, considering that inductance components usually need to be wound by hand, resulting in a larger circuit size, which is not convenient for IC design, and is easily affected by the parasitic equivalent series resi...

AI Technical Summary

Problems solved by technology

In addition, considering that inductance components usually need to be wound by hand, resulting in a larger circuit size, which is not convenient for IC design, and is easily affected by the parasitic equivalent series resistance inside the inductance component, the use of inductance components in the physical circuit should be avoided as much as possible.

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