Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T15:59:50.698807Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 0 inbound Pith citation observations for arXiv:2501.13565.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T15:59:50.698807Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
76 of 76 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation b19c2f7a-a216-4b3d-8038-3d213743038f · outbound
Synchronization by noise for traveling pulses Existence, regularity, and a strong Itô formula for the isochronal phase of SPDE
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4a4f90ab-4d6b-4246-a2d9-8e0c2a621875 · outbound
Synchronization by noise for traveling pulses Quasi-Ergodicity of transient patterns in stochastic reaction-diffusion equations
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b225fa7f-4414-4230-9301-3bb5e2089ca6 · outbound
Synchronization by noise for traveling pulses The isochronal phase of stochastic PDE and integral equations: metastability and other properties
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc5e2418-07ee-48af-ba0d-c41c013919e6 · outbound
Synchronization by noise for traveling pulses Arnold.Random dynamical systems
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9f39436a-0fb5-4d09-ab0a-69387d7864b6 · outbound
Synchronization by noise for traveling pulses Order-preserving random dynamical systems: equilibria, attractors, applications
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a58a2bd7-0de3-46a3-bf58-c8cc158d58a8 · outbound
Synchronization by noise for traveling pulses Perfect cocycles through stochastic differential equations
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4bbb15f3-ec99-4917-82d4-5a2978783e58 · outbound
Synchronization by noise for traveling pulses Invariant foliations near normally hyperbolic invariant manifolds for semiflows
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 00b35918-2753-4315-acc0-9d03410ff597 · outbound
Synchronization by noise for traveling pulses Asymptotic behaviour of stochastic flows of diffeomorphisms
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eaceae0c-7f73-4ba6-992f-202e4630104c · outbound
Synchronization by noise for traveling pulses Statistical equilibrium and two-point motion for a stochastic flow of diffeomorphisms
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 301972ec-a425-4248-80c9-c0ebbe2ad8b2 · outbound
Synchronization by noise for traveling pulses A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34eff9e5-cca3-4e98-b2b9-1451a31087df · outbound
Synchronization by noise for traveling pulses Ergodic properties of Markov processes
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 88b07e0e-4a2f-412e-8d60-caaf36e8f56f · outbound
Synchronization by noise for traveling pulses Additive noise destroys the random attractor close to bifurcation
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 991946c9-19c3-4faf-9914-69500456e7cb · outbound
Synchronization by noise for traveling pulses On the pitchfork bifurcation for the Chafee–Infante equation with additive noise
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bba26b14-69e0-428f-a38b-08b7c522f9a1 · outbound
Synchronization by noise for traveling pulses Rigorous enclosure of Lyapunov exponents of stochastic flows
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 950dfc77-ea5a-416f-9598-a6f71518b1d3 · outbound
Synchronization by noise for traveling pulses Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7ad80510-7951-4b69-8849-451ef7fa09d2 · outbound
Synchronization by noise for traveling pulses Stochastic partial differential equations in M-type 2 Banach spaces
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fea7deb5-f1e7-49f0-aa85-aeed1c2c8f0c · outbound
Synchronization by noise for traveling pulses The effect of noise on the Chafee–Infante equation: a nonlinear case study
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e5a60339-2ddc-4c0f-8db8-65189e3c28d9 · outbound
Synchronization by noise for traveling pulses The Lyapunov spectrum for conditioned random dynamical systems
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dc3efd55-d7a0-41ff-85d1-a762c321c6c6 · outbound
Synchronization by noise for traveling pulses On the structure of attractors and invariant measures for a class of monotone random systems
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 965ef51e-cfda-4462-b905-ee99ce44baa3 · outbound
Synchronization by noise for traveling pulses An application of the generalized Morse index to travelling wave solutions of a competitive reaction-diffusion model
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8e6da443-3749-4636-b5fa-9eccb2182a3d · outbound
Synchronization by noise for traveling pulses Additive noise destroys a pitchfork bifurcation
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc79c524-5ee4-4cbf-a6e4-70bdbb0e703e · outbound
Synchronization by noise for traveling pulses Da Prato and J
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9ff377f-a66a-4cda-b969-efdfe5f423ba · outbound
Synchronization by noise for traveling pulses Da Prato and J
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ad3278d-d2fe-4c96-b41f-35f295182062 · outbound
Synchronization by noise for traveling pulses Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh–Nagumo equations
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3a00c59-ceae-4c41-a994-e860521f598f · outbound
Synchronization by noise for traveling pulses A random dynamical systems perspective on isochronicity for stochastic oscillations
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3013e4d2-554f-46a2-811f-a52bcbbad565 · outbound
Synchronization by noise for traveling pulses Conditioned Lyapunov exponents for random dynamical systems
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fcaf6932-d09e-4000-8069-61d9c12cf4b3 · outbound
Synchronization by noise for traveling pulses The role of phase synchronization in memory processes
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3aaca481-6ca2-44d1-a805-178e0f22ada9 · outbound
Synchronization by noise for traveling pulses Existence of positive solutions to stochastic thin-film equations
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ac11ba6-a7f2-4da9-8780-96c050c3654c · outbound
Synchronization by noise for traveling pulses Synchronization by noise
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1167e920-f84a-43eb-9f67-7f2b824cbcba · outbound
Synchronization by noise for traveling pulses Synchronization by noise for order-preserving random dynamical systems
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5fa47f65-a604-4024-bca7-40d7837c5513 · outbound
Synchronization by noise for traveling pulses On the convergence of stochastic transport equations to a deterministic parabolic one
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 188415ff-0b83-4b8c-96a9-916762e1523a · outbound
Synchronization by noise for traveling pulses Lyapunov exponents and synchronisation by noise for systems of SPDEs
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dd1352d9-adfb-4af9-96f4-754fcbe48e24 · outbound
Synchronization by noise for traveling pulses Small noise and long time phase diffusion in stochastic limit cycle oscillators
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 935f7679-62af-426a-88b4-d3001cbec912 · outbound
Synchronization by noise for traveling pulses Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 89d95898-58ae-45e8-9584-f6261d72f88d · outbound
Synchronization by noise for traveling pulses Isochrons and phaseless sets
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b2239725-5a73-4af0-a28b-20b35a6a44df · outbound
Synchronization by noise for traveling pulses Homoclinic orbits of the FitzHugh–Nagumo equation: bifurcations in the full system
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4d198c50-32e5-45f6-b84e-e4c062ba6fdc · outbound
Synchronization by noise for traveling pulses Ergodicity of the 2D Navier–Stokes equations with degenerate stochastic forcing
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02685e1e-9b87-41c7-98bc-5977e4c32f5e · outbound
Synchronization by noise for traveling pulses Stability of traveling waves for reaction-diffusion equations with multiplicative noise
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e3d12952-048f-408b-9ac0-e82df603032a · outbound
Synchronization by noise for traveling pulses Stability of traveling waves for systems of reaction-diffusion equations with multiplicative noise
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fa46e390-c6a9-431d-9e87-085fa805e364 · outbound
Synchronization by noise for traveling pulses Travelling waves for reaction–diffusion equations forced by translation invariant noise
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34f57682-0bfe-4cd3-8479-21b92f0dee30 · outbound
Synchronization by noise for traveling pulses A general framework for stochastic traveling waves and patterns, with application to neural field equations
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 66575dcf-7a94-48f1-a0f2-72ce70ae8675 · outbound
Synchronization by noise for traveling pulses StabilityofthetravellingwavesolutionoftheFitzHugh–Nagumosystem
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c8da5ddc-7e3d-4fdb-bcbf-5e94856ae1d6 · outbound
Synchronization by noise for traveling pulses Jost.Partial differential equations
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d6146ad-d247-41c6-8244-e7e421e371ed · outbound
Synchronization by noise for traveling pulses Stochastic synchronization of neural activity waves
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5f047c99-8946-465e-9c7c-799d1c58bd24 · outbound
Synchronization by noise for traveling pulses Front propagation in stochastic neural fields: a rigorous mathematical framework
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f6d0d8bd-6d39-47a1-a926-fcf845a27534 · outbound
Synchronization by noise for traveling pulses Stochastic rotating waves
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation aadf3ee5-5209-48ff-b7b7-0f5b78b955fd · outbound
Synchronization by noise for traveling pulses Low-energy control of electrical turbulence in the heart
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 271261ca-9440-407a-a018-2e708dd600ae · outbound
Synchronization by noise for traveling pulses Small random perturbations of dynamical systems: exponential loss of memory of the initial condition
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bb8bba88-0545-4795-a897-274bf07a2380 · outbound
Synchronization by noise for traveling pulses Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cf120a2c-002a-41df-b534-be1926eb9f62 · outbound
Synchronization by noise for traveling pulses A simple proof of the support theorem for diffusion processes
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a0f3422b-f734-4132-bd5e-c28a0d2d7c9e · outbound
Synchronization by noise for traveling pulses Random travelling waves for the KPP equation with noise
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6fe1a523-320f-42b8-9265-46fe58873db1 · outbound
Synchronization by noise for traveling pulses Phase reduction approach to synchronisation of nonlinear oscillators
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44d6ac85-531b-4e3a-8499-a4f2e9701b3c · outbound
Synchronization by noise for traveling pulses Synchrony of limit-cycle oscillators induced by random external impulses
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5261f691-df29-41a4-92fb-07aea6ddd193 · outbound
Synchronization by noise for traveling pulses Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 698e2756-bd90-41ef-bbb4-58840dfc9ca7 · outbound
Synchronization by noise for traveling pulses Effective long-time phase dynamics of limit- cycle oscillators driven by weak colored noise
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d55f1bdc-5a7a-4ecf-b0b7-f4f3e3301f7a · outbound
Synchronization by noise for traveling pulses Phase-reduction approach to synchronization of spatiotemporal rhythms in reaction-diffusion systems
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c3853b22-f5bc-46af-9dad-012104689f54 · outbound
Synchronization by noise for traveling pulses Necessary and sufficient conditions for stable synchronization in random dynamical systems
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e6a2e877-f161-43fc-91ec-6a3bd418a05f · outbound
Synchronization by noise for traveling pulses Synchronization and stochastization of array of self-excited oscillators by external noise
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5028d187-e4dd-4c1e-b507-051c08d79287 · outbound
Synchronization by noise for traveling pulses Phase synchronization in regular and chaotic systems
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bc560d23-2544-4edb-b6c2-cffcb8ba8da5 · outbound
Synchronization by noise for traveling pulses Pikovsky, M
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e8e5d14e-deef-42c3-b238-16e1a19b1f03 · outbound
Synchronization by noise for traveling pulses Phase synchronization of chaotic oscillators by external driving
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 45ee9481-3944-42af-8116-2996c8341544 · outbound
Synchronization by noise for traveling pulses Optimum bounds for the distributions of martingales in Banach spaces
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 167852e2-0a07-43a4-bab3-171897e93c9f · outbound
Synchronization by noise for traveling pulses Exponential estimates for stochastic convolutions in 2-smooth Banach spaces
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 66d006df-407e-47fd-9b27-50d00f6dc254 · outbound
Synchronization by noise for traveling pulses On the support of diffusion processes with applications to the strong maximum principle
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f3606e51-3ffa-4bb2-8a87-8b6de683dfa6 · outbound
Synchronization by noise for traveling pulses Stochastic phase reduction for a general class of noisy limit cycle oscillators
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f78fbe9-0d26-4f04-a2b2-cf4e79764fe1 · outbound
Synchronization by noise for traveling pulses Noise induced phase synchronization of a general class of limit cycle oscillators
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bc449d7b-2e5a-4f8d-a449-99877481d771 · outbound
Synchronization by noise for traveling pulses Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4227c7e6-65bc-4928-8851-fb8e8014d050 · outbound
Synchronization by noise for traveling pulses Multidimensional Stability of Planar Travelling Waves for Stochastically Perturbed Reaction-Diffusion Systems
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b751caa-eff7-4794-b1e9-4eddd50ad567 · outbound
Synchronization by noise for traveling pulses Noncommutative orbital stability of stochastic patterns in Banach spaces
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 80c72c2b-aaa3-447b-8012-911bcfdd662f · outbound
Synchronization by noise for traveling pulses On the approaching time towards the attractor of differential equations perturbed by small noise
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b4a8a957-85e2-4a3d-b5e0-8988f5c4b2ed · outbound
Synchronization by noise for traveling pulses Coherence resonance and noise-induced synchronization in globally coupled Hodgkin–Huxley neurons
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3d644d65-ed0f-43ee-b2d0-01c8c65776cd · outbound
Synchronization by noise for traveling pulses Long-timescale soliton dynamics in the Korteweg–de Vries equation with multiplicative translation-invariant noise
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b6357b93-b8a6-4981-8009-688a8399fe66 · outbound
Synchronization by noise for traveling pulses Patterns of phase compromise in biological cycles
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2b83cc6f-cc33-4a35-802f-955613113198 · outbound
Synchronization by noise for traveling pulses Phase reduction of stochastic limit cycle oscillators
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a3ab34be-1c72-4d76-afe4-ae7459993839 · outbound
Synchronization by noise for traveling pulses Unresolved cited work
Reference 382
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f8dab38-b901-447e-ba29-0d1146eb5343 · outbound
Synchronization by noise for traveling pulses Unresolved cited work
Reference 1998
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.