Noise-activated switching between coexisting stable states is a fundamental mechanism underlying stochastic dynamics in systems ranging from chemical reactions to neural networks. While this phenomenon is well understood for stationary attractors, it remains largely unexplored for limit cycles, whose periodic motion cannot be described by a static potential landscape. Here we experimentally demonstrate activated switching between two coexisting limit-cycle attractors in a driven nonlinear system of coupled resonators. Specifically, we introduce controlled fluctuations to directly observe the rare stochastic transitions between two limit cycles and measure their dependence on noise intensity and driving strength. The measured switching rates are well described by a large-deviation theory, which replaces the conventional activation barrier by the action along the most probable transition path. Our results extend the concept of activated dynamics from stationary to limit-cycle attractors and establish a framework for modeling stochastic transitions between limit cycles in driven-dissipative systems.
Explosive death —a discontinuous, first-order transition from oscillatory dynamics to a steady state— is investigated in a framework of interacting networks under mixed coupling. Unlike previous studies focused on monolayer topologies, this work explores the interplay between local diffusive coupling among peripheral n...
Ranjib Banerjee, Dibakar Ghosh, Amit Sharma· Europhysics letters· 0 citations
Heteroclinic cycles provide a powerful model for describing transient and flexible sequential state transitions in dynamical systems, with applications ranging from neural networks and genetic circuits to chemical oscillators and lasers. They provide a framework for representing metastable states and analyzing informat...
Ehsan Bolhasani, S. H. Aboutalebi· Iranian Journal of Physics R...· 0 citations
Sequential switching is a dynamical mechanism in which different units transiently dominate in a reproducible order without convergence to a single permanent winner. Such behavior is often linked to saddle-type structures and is commonly generated through directed or explicitly asymmetric interactions. Here, we investi...
Luis Pabon-Orozco, E. Gutiérrez M.· Chaos· 0 citations
We study the emergence of non-equilibrium steady states (NESS) in stochastic processes under threshold resetting, an event-driven protocol in which the system resets to its initial configuration upon crossing a prescribed spatial boundary (threshold). In contrast to externally driven resetting, whose steady-state prope...
Optimal finite-time control is essential for energy-efficient operation of nanoscale devices. While existing work has largely focused on transitions between equilibrium states in overdamped systems, many settings of practical interest —including nanomechanical resonators, biomolecular conformational dynamics, and quant...
Intermittent dynamics are ubiquitous in the Earth system and often arise from the interaction of processes evolving on different time scales. In this work, we investigate how intermittent bursts in a fast forcing system propagate to and reshape the dynamics of a slower response system that would otherwise settle onto a...
A. Barone, A. Carrassi, J. Demaeyer et al.· 0 citations
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