39 citations · 100 across the 4 of their papers we have counts for
4 papers
Ghost channels and ghost cycles guiding long transients in dynamical systems
Daniel Koch, Akhilesh Nandan, Gayathri Ramesan +1
Dynamical descriptions and modeling of natural systems have generally focused on fixed points, with saddles and saddle-based phase-space objects such as heteroclinic channels/cycle…
Singularities of transient processes in dynamics and beyond
Alexander N. Gorban
This note is a brief review of the analysis of long transients in dynamical systems. The problem of long transients arose in many disciplines, from physical and chemical kinetic to…
Dynamic and static limitation in multiscale reaction networks, revisited
A. N. Gorban, O. Radulescu
The concept of limiting step gives the limit simplification: the whole network behaves as a single step. However, in its simplest form this idea is applicable only to the simplest…
Irreversibility in the short memory approximation
Iliya V. Karlin, Larisa L. Tatarinova, Alexander N. Gorban +1
A recently introduced systematic approach to derivations of the macroscopic dynamics from the underlying microscopic equations of motions in the short-memory approximation [Gorban…