Analysis of the reconnection process in nontwist cubic maps
Gheorghe Tigan
Abstract
The reconnection process in the dynamics of cubic nontwist maps, introduced in [3], is studied. The present paper extends the work presented in [8]. As in that work, in order to describe the route to reconnection of the involved Poincaré--Birkhoff chains or dimerised chains we investigate an approximate interpolating Hamiltonian of the map under study revealing again that the scenario of reconnection of cubic nontwist maps is different from that occurring in the dynamics of quadratic nontwist maps.
Create a lesson
Related papers
Adjoint-Based Stochastic Analysis for Fatigue of Aeroelastic and Frictional Systems
Justin H. Porter
Asymptotic Analysis of Discrete-Time Self-Attention Dynamics in Transformers
Claudio Altafini
Dimension theory of group actions by circle diffeomorphisms I: Stationary measures
Weikun He, Yuxiang Jiao, Disheng Xu
Hausdorff Dimension and Flexibility for Attractors of Non-Uniformly Hyperbolic Flows
Elias Rego, Paulo Varandas
Finiteness of planar central configurations of five bodies for all positive masses
Tejasvi Singh Tomar
Khintchine dichotomy for images of self-similar measures and almost random walks
Liyang Shao