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We report the experimental observation of the periodic switching of topological edge states between two dimerized fs-laser written waveguide arrays. Switching occurs due to the overlap of the modal fields of the edge states from topological…

We investigate the hopping dynamics between different attractors in a multistable system under the influence of noise. Using symbolic dynamics we find a sudden increase of dynamical entropies, when a system parameter is varied. This effect…

Chaotic Dynamics · Physics 2007-05-23 Suso Kraut , Ulrike Feudel

The behaviour of a quantum rod, pivoted at its lower end on an impenetrable floor and restricted to moving in the vertical plane under the gravitational potential is studied analytically under the approximation that the rod is initially…

Quantum Physics · Physics 2010-01-11 Onkar Parrikar

Critical transitions in multistable systems have been discussed as models for a variety of phenomena ranging from the extinctions of species to socio-economic changes and climate transitions between ice-ages and warm-ages. From bifurcation…

Data Analysis, Statistics and Probability · Physics 2018-12-24 Xiaozhu Zhang , Christian Kuehn , Sarah Hallerberg

Calculating transition probabilities between different states of multistable climate tipping systems is computationally challenging in high-dimensional models. Targeted algorithms, such as the Trajectory-Adaptive Multilevel Splitting (TAMS)…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Lucas Esclapez , Valérian Jacques-Dumas , Reyk Börner , Laurent Soucasse , Henk A. Dijkstra

Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we reveal a broader and more deceptive mechanism:…

Chaotic Dynamics · Physics 2025-10-06 Virgile Troude , Sandro Claudio Lera , Ke Wu , Didier Sornette

The interplay of noise and quantum coherence in transport gives rise to rich dynamics relevant for a variety of systems. In this work, we put forward a proposal for an experiment testing noise-induced transport in the vibrational modes of a…

Quantum Physics · Physics 2016-11-23 Cecilia Cormick , Christian T. Schmiegelow

Replicating systems sustained by error-prone enzymatic amplification can undergo critical transitions between persistence and extinction. In RNA viruses, such transitions are classically governed by mutation rates and fitness landscapes,…

Populations and Evolution · Quantitative Biology 2026-03-03 Edward A. Turner , Francisco Crespo , Joan Gimeno , Ernest Fontich , Santiago F. Elena , Josep Sardanyés

It has long been suggested that fission cycling may play an important role in the r-process. Fission cycling can only occur in a very neutron rich environment. In traditional calculations of the neutrino driven wind of the core-collapse…

Astrophysics · Physics 2008-11-26 J. Beun , G. C. McLaughlin , R. Surman , W. R. Hix

The behavior of a stationary inverted point mass pendulum pivoted at its lower end in a gravitational potential is studied under the influence of statistical fluctuations. It is shown using purely classical equations that the pendulum…

Classical Physics · Physics 2010-09-29 Abhishodh Prakash

We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the…

Pattern Formation and Solitons · Physics 2012-10-08 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

Oscillatory systems with time-delayed pulsatile feedback appear in various applied and theoretical research areas, and received a growing interest in the last years. For such systems, we report a remarkable scenario of destabilization of a…

Chaotic Dynamics · Physics 2015-05-28 Vladimir Klinshov , Leonhard Lücken , Dmitry Shchapin , Vladimir Nekorkin , Serhiy Yanchuk

Tidal locking of planets to their host stars results in an atmospheric circulation with a hotspot fixed to the frame of reference of the planet. On the other hand, asynchronously rotating planets feature moving hotspots either lagging or…

Earth and Planetary Astrophysics · Physics 2025-05-26 Deepayan Banik

A new control algorithm based on the partial control method has been developed. The general situation we are considering is an orbit starting in a certain phase space region Q having a chaotic transient behavior affected by noise, so that…

Dynamical Systems · Mathematics 2021-02-25 Gaspar Alfaro , Rubén Capeáns , Miguel A. F. Sanjuán

We examine motility-induced phase separation (MIPS) in two-dimensional run and tumble disk systems using both machine learning and noise fluctuation analysis. Our measures suggest that within the MIPS state there are several distinct…

Soft Condensed Matter · Physics 2024-04-23 D. McDermott , C. Reichhardt , C. J. O. Reichhardt

Many natural systems undergo critical transitions, i.e. sudden shifts from one dynamical regime to another. In the climate system, the atmospheric boundary layer can experience sudden transitions between fully turbulent states and…

Atmospheric and Oceanic Physics · Physics 2020-08-26 Amandine Kaiser , Davide Faranda , Sebastian Krumscheid , Danijel Belušić , Nikki Vercauteren

This work is part of an effort to understand the neural basis for our visual system's ability, or failure, to accurately track moving visual signals. We consider here a ring model of spiking neurons, intended as a simplified computational…

Neurons and Cognition · Quantitative Biology 2016-01-13 Guillaume Lajoie , Lai-Sang Young

The identification of tipping points is essential for prediction of collapses or other sudden changes in complex systems. Applications include studies of ecology, thermodynamics, climatology, and epidemiology. However, detecting early signs…

Noise-induced escape from a metastable state of a dynamical system is studied close to a saddle-node bifurcation point, but in the region where the system remains underdamped. The activation energy of escape scales as a power of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. I. Dykman , I. B. Schwartz , M. Shapiro

A recent line of research has highlighted the existence of a "double descent" phenomenon in deep learning, whereby increasing the number of training examples $N$ causes the generalization error of neural networks to peak when $N$ is of the…

Machine Learning · Computer Science 2022-01-12 Stéphane d'Ascoli , Levent Sagun , Giulio Biroli
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