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A Theoretical Approach for Gait Generation of the CPG Controller by Using the Time-Delay Coupled Oscillators

Published: February 24, 2026 08:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 1, Page 518-553, March 2026. Abstract.In this paper, a new theoretical approach of gait generation is presented for the legged robots by using delay-coupling oscillators. First, a general theory…

Stabilization of Propagating Bubbles Using Control-Based Continuation

Published: February 20, 2026 08:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 1, Page 485-517, March 2026. Abstract.We explore the potential of feedback control to stabilize and detect unstable steady propagation modes for confined, deformable bubbles moving through a…

Helfrich Cylinders—Instabilities, Bifurcations, and Amplitude Equations

Published: February 19, 2026 08:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 1, Page 439-484, March 2026. Abstract.Combining local bifurcation analysis with numerical continuation and bifurcation methods we study bifurcations from cylindrical vesicles described by the…

An Extension of the Chemostat Model with Linear Coupling Between Species

Published: February 4, 2026 08:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 1, Page 375-417, March 2026. Abstract.We investigate the classical model of competition of two populations in the chemostat when a linear coupling between the populations is taken into account…

Identifiability of Directed-Cycle and Catenary Linear Compartmental Models

Published: January 28, 2026 08:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 1, Page 304-350, March 2026. Abstract.A parameter of a mathematical model is structurally identifiable if it can be determined from noiseless experimental data. Here, we examine the…

Bifurcations of the Hénon Map with Additive Bounded Noise

Published: January 28, 2026 08:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 1, Page 351-374, March 2026. Abstract.We numerically study bifurcations of attractors of the Hénon map with additive bounded noise with spherical reach. The bifurcations are analyzed using a…

High-order Approximations of the Canard Explosion in a Delayed van der Pol System

Published: January 9, 2026 08:00

SIAM Journal on Applied Dynamical Systems, Volume 25, Issue 1, Page 279-303, March 2026. Abstract.In the present work, we investigate the canard explosion occurring in a neurodynamics model–the van der Pol system with a time-delayed feedback. We assume…