20 citations · 49 across the 5 of their papers we have counts for
5 papers
On Direction Preserving Discretizations for Computing Phase-Space Densities
David J. Chappell, Martin Richter, Gregor Tanner
Ray flow methods provide efficient tools for modelling wave energy transport in complex systems at high-frequencies. We compare two Petrov-Galerkin discretizations of a phase-space…
Transfer operator approach to ray-tracing in circular domains
J Slipantschuk, M Richter, D J Chappell +3
The computation of wave-energy distributions in the mid-to-high frequency regime can be reduced to ray-tracing calculations. Solving the ray-tracing problem in terms of an operator…
Dynamical energy analysis for built-up acoustic systems at high frequencies
D. J. Chappell, S. Giani, G. Tanner
Standard methods for describing the intensity distribution of mechanical and acoustic wave fields in the high frequency asymptotic limit are often based on flow transport equations…
Maslov Indices and Monodromy
HR Dullin, JM Robbins, H Waalkens +2
We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix w…
Cycle expansions for intermittent maps
Roberto Artuso, Predrag Cvitanovic, Gregor Tanner
In a generic dynamical system chaos and regular motion coexist side by side, in different parts of the phase space. The border between these, where trajectories are neither unstabl…