Backhoe loader drive system into their backhoe loaders, allowing these models to go over almost any terrain with little difficulty. Since the backhoe was invented, several companies such as Caterpillar and John Deere have changed the backhoe's back arm to be slightly curved like that of an excavator, which can allow more maneuverability. Backhoe loaders are very common and can be used for a wide variety of tasks: construction, small demolitions, light transportation of building materials, powering building equipment, digging holes/excavation, landscaping, breaking asphalt, and paving roads. Often, the backhoe bucket can also be replaced with powered attachments such as a breaker,
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