Open mushrooms: stickiness revisited

DOI10.1088/1751-8113/44/19/195102zbMath1385.37051arXiv1011.0782OpenAlexW2024984907MaRDI QIDQ3004551

Orestis Georgiou, Carl P. Dettmann

Publication date: 3 June 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0782

zbMATH Keywords

mushroom billiardsdynamical systems with sharply divided phase spacemarginally unstable periodic orbits

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (16)

Weak dissipative effects on trajectories from the edge of basins of attraction ⋮ \textsc{Bill2d} -- a software package for classical two-dimensional Hamiltonian systems ⋮ Survival probability for open spherical billiards ⋮ Recurrence of particles in static and time varying oval billiards ⋮ Circular, elliptic and oval billiards in a gravitational field ⋮ Tilted-hat mushroom billiards: web-like hierarchical mixed phase space ⋮ Fine structure of sticky sets in mushroom billiards ⋮ Many faces of stickiness in Hamiltonian systems ⋮ Chaotic and Arnold stripes in weakly chaotic Hamiltonian systems ⋮ Quantifying intermittency in the open drivebelt billiard ⋮ Effect of noise in open chaotic billiards ⋮ In-flight and collisional dissipation as a mechanism to suppress Fermi acceleration in a breathing Lorentz gas ⋮ No-slip billiards in dimension two ⋮ How sticky is the chaos/order boundary? ⋮ Few Islands Approximation of Hamiltonian System with divided Phase Space ⋮ The Iris billiard: Critical geometries for global chaos

This page was built for publication: Open mushrooms: stickiness revisited