A wien-brigde chaotic oscillator based on a firs-order generalized memory resistor

Abstract

The invention discloses a wien-bridge chaotic oscillator based on a firs-order generalized memory resistor. The wien-bridge chaotic oscillator based on a firs-order generalized memory resistor comprises a capacitor C1, a capacitor C2, a capacitor C3, a inductor L, a resistor R1, a resistor R2, a resistor R3, a resistor R4, an operational amplifier U1, and the memory resistor M comprised of a diode bridge cascade RC filter; wherein, the memory resistor M comprised of the diode bridge cascade RC filter comprises a diode D1, a diode D2, a diode D3, a diode D4, a resistor R0, and a capacitor C0. The wien-bridge chaotic oscillator based on a firs-order generalized memory resistor according to the invention is simple in structure, and through regulating reference values of elements of the circuit, the wien-bridge chaotic oscillator can exhibit different chaotic characteristics and obtain a chaotic behavior with complex dynamic characteristics. The memory resistor equivalent circuit according to the invention has no limitation of being grounded, i.e. the equivalent input end requires no ground processing and enables to be connected in series into the existing oscillating circuit. The dynamic characteristics of the memory resistor chaotic circuit according to the invention do not depend on the initial state, and the complex nonlinear physical phenomenon is avoided effectively.

Description

technical field [0001] The invention relates to a Wien bridge chaotic signal generating device based on a first-order generalized memristor, that is, a new type of memristor is formed by introducing a generalized memristor and an LC absorption network into a Wien bridge oscillator. Bridge Chaos Oscillator. Background technique [0002] Chaos phenomenon refers to the seemingly random irregular motion that occurs in a deterministic system. A system described by a deterministic theory, but its behavior is uncertain, non-repeatable, and unpredictable. This is the chaos phenomenon. Further studies have shown that chaos is an inherent characteristic of nonlinear dynamical systems, and is a ubiquitous phenomenon in nonlinear systems. As a ubiquitous nonlinear phenomenon, the discovery of chaos has a profound impact on the development of science. The discovery of chaos can be called the third physical revolution in this century after the theory of relativity. This revolution is im...

AI Technical Summary

Problems solved by technology

[0004] The Wien bridge oscillator is a widely used sine wave RC oscillator circuit. Introducing a memristor into the Wien bridge oscillator and cascading an LC absorption network makes it easy to design a memristor with a new circuit topology. However, most of the reported memristive equivalent circuits are grounded, that is, one end of the equivalent input terminal needs to be grounded and cannot be connected in series. In the existing oscillator circuit

Moreover, the dynamic characteristics of most memristive chaotic circuits depend on the initial state of the memristor, and are prone to some complex nonlinear physical phenomena, such as transient chaos, paroxysmal chaos, system trajectory state transition and other nonlinear phenomena.

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