Cover Image

From heteroclinic loops to homoclinic snaking in reversible systems: rigorous forcing through computer-assisted proofs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Berg, Jan Bouwe van den, Duchesne, Gabriel William, Lessard, Jean-Philippe
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems Numerical Analysis Analysis of PDEs 34C37 (Primary) 37M21, 35B36, 65G40, 65T40, 42A10, 37C79 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Cusp bifurcations: numerical detection via two-parameter continuation and computer-assisted proofs of existence
by: Lessard, Jean-Philippe, et al.
Published: (2024)

Symmetric homoclinic tangles in reversible dynamical systems have positive topological entropy
by: Homburg, Ale Jan, et al.
Published: (2022)

The Whitney method of fundamental solutions with Lusin wavelets
by: Jonsson, Jakob, et al.
Published: (2025)

Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits
by: Yagasaki, Kazuyuki
Published: (2022)

A convergent numerical algorithm for the stochastic growth-fragmentation problem
by: Wu, Dawei, et al.
Published: (2022)

Topological chaos in the two-gene Andrecut-Kauffman model
by: Neunhäuserer, Jörg
Published: (2025)

Derive boundary conditions for holistic discretisations of Burgers' equation
by: Roberts, A. J.
Published: (2001)

Holistic projection of initial conditions onto a finite difference approximation
by: Roberts, A. J.
Published: (2001)

A holistic finite difference approach models linear dynamics consistently
by: Roberts, A. J.
Published: (2000)

On the dynamics of non-autonomous systems in a~neighborhood of a~homoclinic trajectory
by: Calamai, Alessandro, et al.
Published: (2024)

Model reduction on manifolds: A differential geometric framework
by: Buchfink, Patrick, et al.
Published: (2023)

Guillarmou's Normal Operator for Magnetic and Thermostat Flows
by: Muñoz-Thon, Sebastián, et al.
Published: (2025)

Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations
by: Kryspin, Marek, et al.
Published: (2023)

Entropy bounds for Glass networks
by: Wild, Benjamin W., et al.
Published: (2024)

Heteroclinic networks in coupled cell systems
by: Garrido-da-Silva, Liliana, et al.
Published: (2026)

A mechanism for growth of topological entropy and global changes of the shape of chaotic attractors
by: Wilczak, Daniel, et al.
Published: (2025)

Adjoint of Least Squares Shadowing: Existence, Uniqueness and Coarse Domain Discretization
by: Thakur, Pranshul, et al.
Published: (2025)

A Fast and Accurate Solver for the Fractional Fokker-Planck Equation with Dirac-Delta Initial Conditions
by: Ye, Qihao, et al.
Published: (2024)

Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm
by: Barbero-Liñán, María, et al.
Published: (2025)

Robust heteroclinic cycles in pluridimensions
by: Castro, Sofia B. S. D., et al.
Published: (2024)

Losing momentum in continuous-time stochastic optimisation
by: Jin, Kexin, et al.
Published: (2022)

Homogeneous coupled cell systems with high-dimensional internal dynamics
by: von der Gracht, Sören, et al.
Published: (2025)

Lyapunov spectrum of homoclinic classes
by: Díaz, Lorenzo J., et al.
Published: (2026)

Resonant forms at zero for dissipative Anosov flows
by: Cekić, Mihajlo, et al.
Published: (2022)

On difference Riccati equation and continued fractions
by: Ivanov, Alexey V.
Published: (2024)

Shadowing of non-transversal heteroclinic chains in lattices
by: Delshams, Amadeu, et al.
Published: (2024)

A stabilized march approach to adjoint-based sensitivity analysis of chaotic flows
by: Thakur, Pranshul, et al.
Published: (2025)

Spectra of evolution operators of a class of neutral renewal equations: theoretical and numerical aspects
by: Breda, Dimitri, et al.
Published: (2023)

Global dynamics of a two-species competition patch model in a Y-shaped river network
by: Yan, Weifang, et al.
Published: (2025)

Smooth integrability of diffeomorphisms
by: Yagasaki, Kazuyuki
Published: (2026)

Stability and cyclicity of polycycles in non-smooth planar vector fields
by: Santana, Paulo
Published: (2021)

Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions
by: Bick, Christian, et al.
Published: (2023)

Generic balanced synchrony patterns in network dynamics
by: Joly, Romain, et al.
Published: (2025)

A Piecewise Smooth $λ$-Lemma
by: Buzzi, Claudio A., et al.
Published: (2025)

On Higher Order Drift and Diffusion Estimates for Stochastic SINDy
by: Wanner, Mathias, et al.
Published: (2023)

Lecture Notes in Integral Invariants and Hamiltonian Systems
by: Zubelevich, Oleg
Published: (2025)

A variational principle for the Bowen metric mean dimension of saturated set
by: Yuan, Y.
Published: (2023)

High frequency forcing of an attracting heteroclinic cycle
by: Labouriau, Isabel S., et al.
Published: (2023)

Numerical integrations of stochastic contact Hamiltonian systems via stochastic contact Hamilton-Jacobi equation
by: Zhan, Qingyi, et al.
Published: (2024)

Accuracy Boost in Ensemble Kalman Inversion via Ensemble Control Strategies
by: Harris, Ruben, et al.
Published: (2025)