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22 papers · 1 filter
Relevance of Chaos in Numerical Solutions of Quantum Billiards
Baowen Li, Marko Robnik, Bambi Hu
In this paper we have tested several general numerical methods in solving the quantum billiards, such as the boundary integral method (BIM) and the plane wave decomposition method…
Energy level statistics in the transition regime between integrability and chaos for systems with broken antiunitary symmetry
Marko Robnik, Jure Dobnikar, Tomaz Prosen
Energy spectra of a particle with mass and charge in the cubic Aharonov-Bohm billiard containing around consecutive levels starting from the ground state have been a…
Symbolic Dynamics Analysis of the Lorenz Equations
Bai-lin Hao, Jun-xian Liu, Wei-mou Zheng
Recent progress of symbolic dynamics of one- and especially two-dimensional maps has enabled us to construct symbolic dynamics for systems of ordinary differential equations (ODEs)…
New Universal Aspects of Diffusion in Strongly Chaotic Systems
Marko Robnik, Jure Dobnikar, Andrea Rapisarda +2
We study some new universal aspects of diffusion in chaotic systems, especially such having very large Lyapunov coefficients on the chaotic (indecomposable, topologically transitiv…
Comment on Energy Level Statistics in the Mixed Regime
Marko Robnik, Tomaz Prosen
We comment on the recent paper by Abul-Magd (J.Phys.A: Math.Gen. 29 (1996) 1) concerning the energy level statistics in the mixed regime, i.e. such having the mixed classical dynam…
Numerical study of scars in a chaotic billiard
Baowen Li
We study numerically the scaling properties of scars in stadium billiard. Using the semiclassical criterion, we have searched systematically the scars of the same type through a ve…