Characterizing abrupt transitions in stochastic dynamics
نویسندگان
چکیده
منابع مشابه
Characterizing the dynamics of stochastic bistable
The dynamics of noisy bistable systems is analyzed by means of Lyapunov exponents and measures of complexity. We consider both the classical Kramers problem with additive white noise and the case when the barrier uctuates due to additional external colored noise. In case of additive noise we calculate the Lyapunov exponents and all measures of complexity analytically as functions of the noise i...
متن کاملAbrupt transitions in collaborative social networks
Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel CAS Key Lab of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China Beijing National Laboratory for Condensed Matter Physics & CAS Key Lab of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China Faculty of Physics and Electronics, Hube...
متن کاملNonlinearity in bacterial population dynamics: proposal for experiments for the observation of abrupt transitions in patches.
An explicit proposal for experiments leading to abrupt transitions in spatially extended bacterial populations in a Petri dish is presented on the basis of an exact formula obtained through an analytic theory. The theory provides accurately the transition expressions despite the fact that the actual solutions, which involve strong nonlinearity, are inaccessible to it. The analytic expressions a...
متن کاملBraid group and topological phase transitions in nonequilibrium stochastic dynamics.
We show that distinct topological phases of the band structure of a non-Hermitian Hamiltonian can be classified with elements of the braid group. As the proof of principle, we consider the non-Hermitian evolution of the statistics of nonequilibrium stochastic currents. We show that topologically nontrivial phases have detectable properties, including the emergence of decaying oscillations of pa...
متن کاملAbrupt structural transitions involving functionally optimal networks
We show analytically that abrupt structural transitions can arise in functionally optimal networks, driven by small changes in the level of transport congestion. Our findings are based on an exactly solvable model system which mimics a variety of biological and social networks. Our results offer an explanation as to why such diverse sets of network structures arise in Nature (e.g. fungi) under ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: New Journal of Physics
سال: 2018
ISSN: 1367-2630
DOI: 10.1088/1367-2630/aaf0d7