An Offset-Boostable Chaotic Oscillator with Broken Symmetry

A new 3D offset-boostable symmetric system is proposed by an absolute value function introduced. The system seems to be more fragile and easier to the state of broken symmetry. Coexisting symmetric pairs of attractors get closer and closer, and finally get emerged together. Basins of attraction show...

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Bibliographic Details
Main Authors: Lili Huang, Xin Zhang, Hongyan Zang, Tengfei Lei, Haiyan Fu
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/9/1903
Description
Summary:A new 3D offset-boostable symmetric system is proposed by an absolute value function introduced. The system seems to be more fragile and easier to the state of broken symmetry. Coexisting symmetric pairs of attractors get closer and closer, and finally get emerged together. Basins of attraction show how these coexisting attractors are arranged in phase space. All these coexisting attractors can be easily offset boosted in phase space by a single constant when the initial condition is revised accordingly. PSpice simulations prove all the phenomena.
ISSN:2073-8994