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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…

Hamiltonian Triplet Interactions: Areal and Perimetric Forces

Published: April 30, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 1042-1069, June 2026. Abstract.Gravitational and electromagnetic interactions are Hamiltonian systems with forces between pairs of particles. We propose an alternative: Hamiltonian…

Global Stability of Wright-Type Equations with Negative Schwarzian

Published: April 23, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 964-997, June 2026. Abstract. Simplicity of the 37/24-global stability criterion announced by E. M. Wright in 1955 and rigorously proved by B. Bánhelyi et al. in 2014 for the delayed…

Large Deviations of a Network of Neurons with Dynamic Sparse Random Connections

Published: April 23, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 940-963, June 2026. Abstract.In this work, we determine the limiting dynamics of a system of interacting particles indexed by a lattice [math]. The connections are random, sparse, and…

The Role of Mutants in the Spatiotemporal Progression of Inflammatory Bowel Disease: Three Classes of Permanent Form Traveling Waves

Published: April 20, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 902-939, June 2026. Abstract.Despite its high prevalence and impact on the lives of those affected, a complete understanding of the cause of inflammatory bowel disease (IBD) is lacking.…

Numerical Periodic Normalization at Codim 1 Bifurcations of Limit Cycles in DDEs

Published: April 17, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 861-901, June 2026. Abstract.Recent work by B. Lentjes, L. Spek, M. M. Bosschaert, and Yu. A. Kuznetsov [J. Dynam. Differential Equations, 37 (2023), pp. 815–858; and J. Differential…

Data-Driven Identification of Attractors Using Machine Learning

Published: April 13, 2026 07:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 2, Page 836-860, June 2026. Abstract.In this paper we explore challenges in developing a topological framework in which machine learning can be used to robustly characterize global dynamics.…