Zobrazeno 1 - 10
of 711
pro vyhledávání: '"Lindner, Benjamin"'
Autor:
Stubenrauch, Jakob, Lindner, Benjamin
We consider a dynamic system that is driven by an intensity-modulated Poisson process with intensity $\Lambda(t)=\lambda(t)+\varepsilon\nu(t)$. We derive an exact relation between the input-output cross-correlation in the spontaneous state ($\varepsi
Externí odkaz:
http://arxiv.org/abs/2405.13508
The parameterization method (PM) provides a broad theoretical and numerical foundation for computing invariant manifolds of dynamical systems. PM implements a change of variables in order to represent trajectories of a system of ordinary differential
Externí odkaz:
http://arxiv.org/abs/2404.09046
The Kuramoto model has provided deep insights into synchronization phenomena and remains an important paradigm to study the dynamics of coupled oscillators. Yet, despite its success, the asynchronous regime in the Kuramoto model has received limited
Externí odkaz:
http://arxiv.org/abs/2403.15922
Autor:
Ramlow, Lukas, Lindner, Benjamin
Stochastic transitions between discrete microscopic states play an important role in many physical and biological systems. Often, these transitions lead to fluctuations on a macroscopic scale. A classic example from neuroscience is the stochastic ope
Externí odkaz:
http://arxiv.org/abs/2402.10995
Autor:
Houzelstein, Pierre, Thomas, Peter J., Lindner, Benjamin, Gutkin, Boris S., Pérez-Cervera, Alberto
Phase reduction is an important tool for studying coupled and driven oscillators. The question of how to generalize phase reduction to stochastic oscillators remains actively debated. In this work, we propose a method to derive a self-contained stoch
Externí odkaz:
http://arxiv.org/abs/2402.02856
The fluctuation-dissipation relation (FDR) links thermal fluctuations and dissipation at thermal equilibrium through temperature. Extending it beyond equilibrium conditions in pursuit of broadening thermodynamics is often feasible, albeit with system
Externí odkaz:
http://arxiv.org/abs/2401.03509
Autor:
Schlungbaum, Maria, Lindner, Benjamin
Motivated by experimental observations, we investigate a variant of the cocktail party problem: the detection of a weak periodic stimulus in the presence of fluctuations and another periodic stimulus which is stronger than the periodic signal to be d
Externí odkaz:
http://arxiv.org/abs/2305.13100
We consider a model of Non-Brownian self-propelled particles with anti-alignment interactions where particles try to avoid each other by attempting to turn into opposite directions. The particles undergo apparent Brownian motion, even though the part
Externí odkaz:
http://arxiv.org/abs/2303.03357
We consider deterministic self-propelled particles with anti-alignment interactions. An asymptotically exact kinetic theory for particle scattering at low densities is constructed by a non-local closure of the BBGKY-hierarchy, involving pair correlat
Externí odkaz:
http://arxiv.org/abs/2303.03354
Publikováno v:
PNAS 120(29): e2303222120 (2023)
Many systems in physics, chemistry and biology exhibit oscillations with a pronounced random component. Such stochastic oscillations can emerge via different mechanisms, for example linear dynamics of a stable focus with fluctuations, limit-cycle sys
Externí odkaz:
http://arxiv.org/abs/2303.03198