Cover Image

A simple criterion for identifying slow-fast relaxation oscillations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	MacQuarrie, Lucas, Yu, Pei
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Averaging principle for slow-fast systems of PDEs with rough drivers
by: Li, Miaomiao, et al.
Published: (2025)

Widespread neuronal chaos induced by slow oscillating currents
by: Scully, James, et al.
Published: (2024)

Dynamic homeostasis in relaxation and bursting oscillations
by: Ryzowicz, Christopher J., et al.
Published: (2025)

Synchronization and averaging in partially hyperbolic systems with fast and slow variables
by: Bonetto, Federico, et al.
Published: (2024)

Cusped singularities organize mixed-mode oscillations in mutually inhibitory slow-fast systems
by: Pedersen, Morten Gram
Published: (2026)

Locked Up and Looking for a Way Out: First Nation Policy Control as a Path Out of the Indian Act Maze
by: Catherine MacQuarrie
Published: (2025)

The open dense conjecture on eventually slow oscillations of the differential equation with delayed negative feedback
by: Feng, Lirui
Published: (2025)

Statistical properties of mostly expanding fast-slow partially hyperbolic systems
by: De Simoi, Jacopo, et al.
Published: (2025)

Averaging theorems for slow fast systems in $\mathbb{Z}$-extensions (discrete time)
by: Phalempin, Maxence
Published: (2024)

On entry-exit formulas for degenerate turning point problems in planar slow-fast systems
by: Huzak, Renato, et al.
Published: (2025)

FitzHugh-Nagumo equation: bifurcations, slow-fast system and dynamics near infinity
by: Rodrigues, Alexandre A. P., et al.
Published: (2025)

Superdiffusive limits beyond the Marcus regime for deterministic fast-slow systems
by: Chevyrev, Ilya, et al.
Published: (2023)

Controlling the occurrence sequence of reaction modules through biochemical relaxation oscillators
by: Shi, Xiaopeng, et al.
Published: (2024)

Ergodicity in planar slow-fast systems through slow relation functions
by: Huzak, Renato, et al.
Published: (2024)

Convergence of martingale solutions to the hybrid slow-fast system
by: Xu, Yong, et al.
Published: (2018)

Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized Relaxation Redistribution Method
by: Chiavazzo, Eliodoro
Published: (2011)

Revisiting the Toda-Brumer-Duff criterion for order-chaos transition in dynamical systems
by: Sattin, F., et al.
Published: (2023)

Synchronization and oscillation quenching in interacting metronomes on a movable platform: simple model and bifurcation analysis
by: Kato, Yusuke, et al.
Published: (2023)

Projective resolutions of simple modules and Hochschild cohomology for incidence algebras
by: Bekkert, Viktor, et al.
Published: (2024)

Polynomial slow-fast systems on the Poincaré-Lyapunov sphere
by: Perez, Otavio Henrique, et al.
Published: (2024)

Semisimplicity and separability for pseudocompact algebras
by: Iusenko, Kostiantyn, et al.
Published: (2022)

A Girsanov approach to slow parameterizing manifolds in the presence of noise
by: Chekroun, Mickaël D., et al.
Published: (2019)

A simple model for the emergence of relaxation-oscillator convection
by: Spaulding-Astudillo, Francisco E., et al.
Published: (2023)

A simple chaos indicator based on the Lagrangian descriptor difference of neighboring orbits
by: Jiménez-López, Javier, et al.
Published: (2025)

Statistical warning indicators for abrupt transitions in dynamical systems with slow periodic forcing
by: Suerhoff, Florian, et al.
Published: (2026)

The hyperbolic umbilic singularity in fast-slow systems
by: Jardón-Kojakhmetov, Hildeberto, et al.
Published: (2022)

Hamiltonian control to desynchronize Kuramoto oscillators with higher-order interactions
by: Moriamé, Martin, et al.
Published: (2024)

Optimal coupling functions for fast and global synchronization of weakly coupled limit-cycle oscillators
by: Namura, Norihisa, et al.
Published: (2023)

Extreme Value Theory with Spectral Techniques: application to a simple attractor
by: Atnip, Jason, et al.
Published: (2020)

The existence of quasi-periodic invariant tori and double Hopf bifurcation of van der Pol's oscillator with delayed feedback
by: Li, Xuemei, et al.
Published: (2025)

Parameter identifiability in PDE models of fluorescence recovery after photobleaching
by: Ciocanel, Maria-Veronica, et al.
Published: (2023)

Reconstructing resonant phase oscillator interactions from noisy time series
by: Dönmez, Bengi, et al.
Published: (2026)

Robust chaos in a totally symmetric network of four phase oscillators
by: Karatetskaia, Efrosiniia, et al.
Published: (2024)

Linear time-and-space-invariant relaxation systems
by: Donchev, Tihol Ivanov, et al.
Published: (2025)

Self-excited oscillations in multi-degree-of-freedom systems subjected to discontinuous forcing
by: Choudhury, Arunav, et al.
Published: (2026)

Non-linear population discrete models with two time scales: re-scaling of part of the slow process
by: Sanz, Luis, et al.
Published: (2024)

Rate-induced tipping in a coral reef ecosystem: A slow increase in fishing effort can induce reef collapse
by: Antidze, Irakli, et al.
Published: (2026)

Bifurcations and canards in the FitzHugh-Nagumo system: a tutorial in fast-slow dynamics
by: Gonçalves, Bruno F. F., et al.
Published: (2024)

About identifiability and observability for a class of dynamical systems
by: Kubik, Alicja B, et al.
Published: (2024)

SINDy on slow manifolds
by: Delgado-Cano, Diemen, et al.
Published: (2025)