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Simultaneous Model Discovery and State Estimation under High Data Corruption

Published: June 23, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1439-1467, June 2026. Abstract.This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed…

Efficient Computation of Stationary Measures and the Lyapunov Landscape for Families of Random Dynamical Systems with Smooth Additive Noise

Published: June 22, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1397-1438, June 2026. Abstract.We present an efficient and validated method for approximating the stationary measures of random dynamical systems with smooth additive noise. The approach…

Anticipating Bifurcations of Random Dynamical Systems through Tails of Stationary Densities

Published: June 18, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1365-1396, June 2026. Abstract.We develop an early-warning signal for bifurcations of one-dimensional random difference equations with additive bounded noise, based on the asymptotic…

Affine Constraints in Nonreversible Diffusions with Degenerate Noise

Published: June 16, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1285-1319, June 2026. Abstract.This paper deals with the realization of affine constraints on nonreversible stochastic differential equations (SDE) by strong confining forces. We prove…

Hovering Sets in Near Pseudo-Integrable Hamiltonian Impact Systems

Published: June 16, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1238-1284, June 2026. Abstract.The transition from rotational to discontinuous behavior of the return map of the perturbed oscillator-step system, a paradigm model for a perturbation of a…

Synchronization on Circles and Spheres with Nonlinear Interactions

Published: June 11, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1207-1237, June 2026. Abstract.We consider the dynamics of [math] points on a sphere in [math] ([math]) which attract each other according to a function [math] of their inner products.…

Existence of Invariant Probability Measures for Stochastic Differential Equations with Finite Time Delay

Published: June 2, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1132-1182, June 2026. Abstract.We provide sufficient conditions for the existence of invariant probability measures for generic stochastic differential equations with finite time delay.…

A Novel Route to Oscillations via Noncentral SNICeroclinic Bifurcation: Unfolding the Separatrix Loop between a Saddle-node and a Saddle

Published: May 8, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1106-1131, June 2026. Abstract.In this paper, we investigate saddle-node to saddle separatrix-loops that we term SNICeroclinic bifurcations. They are generic codimension-two bifurcations…

Bifurcation Analysis for Gene Regulatory Networks Embedding a Toggle-Switch Model: Application to X Chromosome Inactivation

Published: May 6, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1070-1105, June 2026. Abstract.We analyze models of minimal gene regulatory networks (GRNs) introduced in the context of X chromosome inactivation (XCI), an epigenetic process occurring…