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- W58237490 abstract "An important aspect of mechanical systems is that they often experience bifurcations. For example, in a conservative system, as the energy increases through a local maximum of the potential energy, the system can pass through a saddle-saddle connection and go from having two possible oscillations to having only one. On the other hand, when dissipation is present, local minima of the potential function become stable equilibria. For example, in the case of a two-well potential function, which is the basis of binary quantum-mechanical devices, movement between the two states due to random fluctuations is of great interest. Such systems are difficult to study. We present in this chapter a method for studying these kinds of behaviors in two-dimensional systems that is based on graphs." @default.
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- W58237490 date "2002-01-01" @default.
- W58237490 modified "2023-09-26" @default.
- W58237490 title "Randomly Perturbed Mechanical Systems" @default.
- W58237490 doi "https://doi.org/10.1007/978-0-387-22446-6_9" @default.
- W58237490 hasPublicationYear "2002" @default.
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