Robustness of diffusionless Lorenz equation under Gaussian noise

Authors

Albert Yumol ⋅ PH National Institute of Physics, University of the Philippines Diliman
Giovanni Tapang ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We numerically investigate the effect of adding directional Gaussian noise to the Diffusionless Lorenz Equation (DLE). It was observed that the DLE system is robust from the injection of Gaussian noise along specific directions. The first and third Lyapunov exponent of the DLE was found to be robust until noise strength of 4 indicating regions of stability while the second Lyapunov exponent gradually increases with the noise strength affirming to the chaotic nature of the system.

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Issue

2015: Proceedings of the 33rd Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2015-PA-38

Section

Poster Session PA

Published

2015-06-03

How to Cite

[1]

A Yumol and G Tapang, Robustness of diffusionless Lorenz equation under Gaussian noise, Proceedings of the Samahang Pisika ng Pilipinas 33, SPP-2015-PA-38 (2015). URL: https://proceedings.spp-online.org/article/view/1194.