Symmetry (Sep 2022)

An Offset-Boostable Chaotic Oscillator with Broken Symmetry

  • Lili Huang,
  • Xin Zhang,
  • Hongyan Zang,
  • Tengfei Lei,
  • Haiyan Fu

DOI
https://doi.org/10.3390/sym14091903
Journal volume & issue
Vol. 14, no. 9
p. 1903

Abstract

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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.

Keywords