A dynamical systems approach for most probable escape paths over periodic boundaries
DOI10.1016/j.physd.2023.133860zbMath1527.37051arXiv2302.00758MaRDI QIDQ6096542
Blake Barker, Emmanuel Fleurantin, Christopher K. R. T. Jones, Katherine Slyman
Publication date: 12 September 2023
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.00758
Monte Carlo methods (65C05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Numerical solutions to stochastic differential and integral equations (65C30) General theory of random and stochastic dynamical systems (37H05) Stability theory for random and stochastic dynamical systems (37H30)
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Cites Work
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- The parameterization method for invariant manifolds. From rigorous results to effective computations
- On the noise-induced passage through an unstable periodic orbit. I: Two-level model
- A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms
- Study of noise-induced transitions in the Lorenz system using the minimum action method
- The Sturm theorems and symplectic geometry
- The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process
- Hyperbolic periodic orbits in nongradient systems and small-noise-induced metastable transitions
- Finding the quasipotential for nongradient SDEs
- Observable and hidden singular features of large fluctuations in nonequilibrium systems
- Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation
- From random Poincaré maps to stochastic mixed-mode-oscillation patterns
- The parameterization method for one-dimensional invariant manifolds of higher-dimensional parabolic fixed points
- The parameterization method for invariant manifolds. III: Overview and applications
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- Pathways of activated escape in periodically modulated systems
- Excitability in ramped systems: the compost-bomb instability
- Random Perturbations of Dynamical Systems
- Escape Rates in a Stochastic Environment with Multiple Scales
- The Concise Encyclopedia of Statistics
- The geometric minimum action method: A least action principle on the space of curves
- On the histogram as a density estimator:L 2 theory
- The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
- The parameterization method for invariant manifolds II: regularity with respect to parameters
- Oscillatory Behavior of the Rate of Escape through an Unstable Limit Cycle
- A Primer on Noise-Induced Transitions in Applied Dynamical Systems
- Instability of pulses in gradient reaction–diffusion systems: a symplectic approach
- Early-warning indicators for rate-induced tipping
- Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds
- Numerical computation of rare events via large deviation theory
- The Onsager–Machlup function as Lagrangian for the most probable path of a jump-diffusion process
- Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping
- On the Noise-Induced Passage through an Unstable Periodic Orbit II: General Case
- Fluctuations and Irreversible Processes
- Exit cycling for the Van der Pol oscillator and quasipotential calculations
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