*Article* **Symmetry Evolution in Chaotic System**

**Chunbiao Li 1,2,3,\*, Jiayu Sun 1,2, Tianai Lu 1,2 and Tengfei Lei <sup>3</sup>**


Received: 29 February 2020; Accepted: 22 March 2020; Published: 5 April 2020

**Abstract:** A comprehensive exploration of symmetry and conditional symmetry is made from the evolution of symmetry. Unlike other chaotic systems of conditional symmetry, in this work it is derived from the symmetric diffusionless Lorenz system. Transformation from symmetry and asymmetry to conditional symmetry is examined by constant planting and dimension growth, which proves that the offset boosting of some necessary variables is the key factor for reestablishing polarity balance in a dynamical system.

**Keywords:** symmetry; asymmetry; offset boosting; chaotic system
