The Back Horn The Back Horn The band got started around April in 1998, when the original members all came to Tokyo from the countryside where they all lived, all for different reasons. They met, and decided to start a band. First called Gyorai, they soon changed their name to The Back Horn. This name was based on Matsuda's misreading of the "backhoe" he used in his construction work. From the beginning, one of the features of the band was a harsh sound and lyrics dealing with decadence and destruction, war, peace, isolation, love and death. In a 2005 interview, the band members
Normally hyperbolic invariant manifold Normally hyperbolic invariant manifold A normally hyperbolic invariant manifold (NHIM) is a natural generalization of a hyperbolic fixed point and a hyperbolic set. The difference can be described heuristically as follows: For a manifold formula_1 to be normally hyperbolic we are allowed to assume that the dynamics of formula_1 itself is neutral compared with the dynamics nearby, which is not allowed for a hyperbolic set. NHIMs were introduced by Neil Fenichel in 1972. In this and subsequent papers, Fenichel proves that NHIMs possess stable and unstable manifolds and more importantly, NHIMs and their stable and unstable manifolds persist under small