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 the unstable bundle and denoted "E" and "E", respectively. With respect to some Riemannian metric on "M", the restriction of "Df" to "E" must be a contraction and the restriction of "Df" to "E" must be an expansion, and must be relatively neutral on formula_4. Thus, there exist constants formula_5 and "c" > 0 such that and 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