Chaotic dynamics of an unstable Burgers equation

Hidetsugu Sakaguchi

doi:10.1016/S0167-2789(98)00317-0

Chaotic dynamics of an unstable Burgers equation

Hidetsugu Sakaguchi

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We study a modified Burgers equation numerically as one of the simplest model equations which can exhibit spatio-temporal chaos. An unstable linear term is added to the Burgers equation as a perturbation term. The creation and annihilation of shock structures are found numerically. It is shown by a Lyapunov analysis that the shock structures play an important role in the chaotic dynamics.

Original language	English
Pages (from-to)	57-67
Number of pages	11
Journal	Physica D: Nonlinear Phenomena
Volume	129
Issue number	1-2
DOIs	https://doi.org/10.1016/S0167-2789(98)00317-0
Publication status	Published - May 1 1999

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/S0167-2789(98)00317-0

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Chaotic dynamics of an unstable Burgers equation

Abstract

All Science Journal Classification (ASJC) codes

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