Related Experiment Video
Updated: Dec 29, 2025

Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
Merger of a Hénon-like attractor with a Hénon-like repeller in a model of vortex dynamics
1National Research University Higher School of Economics, 25/12 Bolshaya Pecherskaya Ulitsa, 603155 Nizhny Novgorod, Russia.
Abstract:
We study the phenomenon of a collision of a Hénon-like attractor with a Hénon-like repeller leading to the emergence of mixed dynamics in the model describing the motion of two point vortices in a shear flow perturbed by an acoustic wave. The mixed dynamics is a recently discovered type of chaotic behavior for which a chaotic attractor of the system intersects with a chaotic repeller. In all known systems with mixed dynamics, the difference between the numerically obtained attractor and repeller is small. Unlike these systems, the model under consideration demonstrates another type of mixed dynamics that we call "strongly dissipative." In this case, a strange attractor and a strange repeller have a nonempty intersection but are very different from each other, and this difference does not appear to decrease with increasing computation time.
More Related Videos
Related Concept Videos
Stability of Equilibrium Configuration
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
Mechanical Systems
Newtonian Fluid: Problem Solving
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Typical Model Studies
First Law: Particles in Two-dimensional Equilibrium
Newton's first law tells us about...
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

