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A Double-Memristor Hyperchaotic Oscillator With Complete Amplitude Control

Yicheng Jiang, Chunbiao Li, Chuang Zhang, Yibo Zhao, Hongyan Zang

2021IEEE Transactions on Circuits and Systems I Regular Papers70 citationsDOI

Abstract

Two generalized flux-controlled memristors are applied for hyperchaos generation, and following a four-dimensional hyperchaotic oscillator is constructed. The applied two memristors share a common internal control variable. The new hyperchaotic oscillator exhibits complex dynamics including coexisting chaos and attractor merging. A single constant can realize offset boosting revising the oscillation distribution in phase space. Meanwhile, an amplitude knob rescales the variable making it convenient to construct an analog circuit. The implementation of an analog circuit verifies the consistency with numerical simulation and theoretical analysis.

Topics & Concepts

MemristorAttractorControl theory (sociology)AmplitudeBoosting (machine learning)Oscillation (cell signaling)Topology (electrical circuits)Chua's circuitMathematicsDC biasFerroresonance in electricity networksOffset (computer science)Electronic engineeringComputer sciencePhysicsMathematical analysisVoltageEngineeringControl (management)Quantum mechanicsTransformerArtificial intelligenceCombinatoricsMachine learningBiologyProgramming languageGeneticsAdvanced Memory and Neural ComputingNeural dynamics and brain functionChaos control and synchronization
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