68 citations · 112 across the 10 of their papers we have counts for
12 papers
Derangements and Continued Fractions for
Peter Lynch
Several continued fraction expansions for have been produced by an automated conjecture generator (ACG) called \emph{The Ramanujan Machine}. Some of these were already known, s…
Nonholonomic Noetherian symmetries and integrals of the Routh sphere and Chaplygin ball
Miguel D. Bustamante, Peter Lynch
The dynamics of a spherical body with a non-uniform mass distribution rolling on a plane were discussed by Sergey Chaplygin, whose 150th anniversary we celebrate this year. The Cha…
Integrable elliptic billiards and ballyards
Peter Lynch
The billiard problem concerns a point particle moving freely in a region of the horizontal plane bounded by a closed curve , and reflected at each impact with . The region is…
Laplace Transform Integration of a Baroclinic Model
Eoghan Harney, Peter Lynch
A time integration scheme based on the Laplace Transform (LT) has been implemented in a baroclinic primitive equation model. The LT scheme provides an attractive alternative to the…
The Ping Pong Pendulum
Peter Lynch
Many damped mechanical systems oscillate with increasing frequency as the amplitude decreases. One popular example is Euler's Disk, where the point of contact rotates with increasi…
The Not-so-simple Pendulum: Balancing a Pencil on its Point
Peter Lynch
Does quantum mechanics matter at everyday scales? We generally assume that its consequences are confined to microscopic scales. It would be very surprising if quantum effects were…