title: Reflection-antisymmetric spatiotemporal chaos under field-translational invariance.
abstract: We propose a route to spatiotemporal chaos, in which the system is assumed to have spatial reflection antisymmetry and field-translation symmetry. The lowest-order nonlinear equation that satisfies these symmetries is explored with the weak nonlinear analysis around the bifurcation point. We conclude that the nonlinear term ∂(x)(2)u∂(x)(3)u is important to make a nontrivial dynamics, and show that the nonlinear dynamical equation having this term produces a turbulent dynamics.
authors.affiliation: Department of Physics, The University of Tokyo, Hongo, Tokyo, Japan. mikiy@jamstec.go.jp
authors.forename: Miki Y
authors.initials: MY
authors.lastname: Matsuo
authors.forename: Masaki
authors.initials: M
authors.lastname: Sano