The coexistence and evolution of attractors in the web map with weak dissipation

TL;DR

This paper investigates how attractors and their basins evolve in a web map with weak dissipation, revealing that basin structures remain stable under simultaneous changes in dissipation and nonlinearity.

Contribution

It uncovers the invariant structure of basins in the web map despite variations in dissipation and nonlinearity, advancing understanding of complex dynamical systems.

Findings

Basins' structure remains unchanged with simultaneous parameter variations

Evolution of coexisting attractors is characterized

Weak dissipation influences attractor dynamics

Abstract

The dynamics of the web map with weak linear dissipation is studied. The evolution of the coexisting attractors and the structure of their basins while changing the dissipation and nonlinearity are revealed. It is shown that the structure of the basins remains the same when the dissipation and nonlinearity changes simultaneously.