1.2k citations
- Helmholtz-Zentrum Dresden-RossendorfDE17 papers
- Max Planck Institute for the Physics of Complex SystemsDE9 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE6 papers
- Goethe University FrankfurtDE6 papers
- University of TübingenDE6 papers
- European Organization for Nuclear ResearchCH5 papers
- Heidelberg UniversityDE5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Columbia UniversityUS4 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ4 papers
- Institute for Particle and Nuclear PhysicsHU4 papers
- Institute of PhysicsPL4 papers
7 papers · 1 filter
Complex Network Approach for Recurrence Analysis of Time Series
N. Marwan, J. F. Donges, Y. Zou +2
We propose a novel approach for analysing time series using complex network theory. We identify the recurrence matrix calculated from time series with the adjacency matrix of a com…
On universality of algebraic decays in Hamiltonian systems
Giampaolo Cristadoro, Roland Ketzmerick
Hamiltonian systems with a mixed phase space typically exhibit an algebraic decay of correlations and of Poincare' recurrences, with numerical experiments over finite times showing…
Dynamical tunneling in mushroom billiards
A. Bäcker, R. Ketzmerick, S. Löck +5
We study the fundamental question of dynamical tunneling in generic two-dimensional Hamiltonian systems by considering regular-to-chaotic tunneling rates. Experimentally, we use mi…
Regular-to-chaotic tunneling rates using a fictitious integrable system
A. Bäcker, R. Ketzmerick, S. Löck +1
We derive a formula predicting dynamical tunneling rates from regular states to the chaotic sea in systems with a mixed phase space. Our approach is based on the introduction of a…
Universality in the flooding of regular islands by chaotic states
Arnd Bäcker, Roland Ketzmerick, Alejandro G. Monastra
We investigate the structure of eigenstates in systems with a mixed phase space in terms of their projection onto individual regular tori. Depending on dynamical tunneling rates an…
Flooding of regular islands by chaotic states
A. Bäcker, R. Ketzmerick, A. G. Monastra
We introduce a criterion for the existence of regular states in systems with a mixed phase space. If this condition is not fulfilled chaotic eigenstates substantially extend into a…