A dynamical phase transition for a family of Hamiltonian mappings: a phenomenological investigation to obtain the critical exponents

DOI10.1016/j.physleta.2015.04.025zbMath1343.37048OpenAlexW2021890474WikidataQ58840620 ScholiaQ58840620MaRDI QIDQ304387

Edson D. Leonel, Rivânia M. N. Teixeira, Raimundo N. Costa Filho, Mário R. Silva, Julia Penalva, Juliano A. de Oliveira

Publication date: 25 August 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2015.04.025

zbMATH Keywords

chaoscritical exponentsphase transitionscaling law

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (2)

On the dynamics of two-dimensional dissipative discontinuous maps ⋮ An investigation of chaotic diffusion in a family of Hamiltonian mappings whose angles diverge in the limit of vanishingly action

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fermi acceleration and its suppression in a time-dependent Lorentz gas
• Scaling properties of a hybrid Fermi-Ulam-bouncer model
• Regular and chaotic dynamics.
• Nonmonotonic twist maps
• In-flight and collisional dissipation as a mechanism to suppress Fermi acceleration in a breathing Lorentz gas
• FERMI ACCELERATION IN A PERIODICALLY DRIVEN FERMI–ULAM MODEL
• Fermi acceleration on the annular billiard
• Critical exponents for a transition from integrability to non-integrability via localization of invariant tori in the Hamiltonian system
• Scaling features of a breathing circular billiard
• Dynamical properties of a dissipative hybrid Fermi-Ulam-bouncer model
• A hybrid Fermi–Ulam-bouncer model
• Scaling properties of a simplified bouncer model and of Chirikov's standard map

This page was built for publication: A dynamical phase transition for a family of Hamiltonian mappings: a phenomenological investigation to obtain the critical exponents