Ratchet current in nontwist Hamiltonian systems

DOI10.1063/5.0022073zbMath1458.37057OpenAlexW3088514171WikidataQ100411984 ScholiaQ100411984MaRDI QIDQ5139777

José D. jun. Szezech, Iberê L. Caldas, Ricardo L. Viana, Michele Mugnaine, Antônio M. Batista

Publication date: 10 December 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0022073

zbMATH Keywords

twist conditionarea-preserving mapslack of symmetrycontrol parameter space

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical aspects of twist maps (37E40)

Related Items (1)

Curry–Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems

Cites Work

• A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms
• Transport in Hamiltonian systems
• DC currents in Hamiltonian systems by Lévy flights
• Area preserving nontwist maps: Periodic orbits and transition to chaos
• Breakup of inverse golden mean shearless tori in the two-frequency standard nontwist map
• DIFFUSIVE TRANSPORT THROUGH A NONTWIST BARRIER IN TOKAMAKS
• Higher-order fixed points of the renormalisation operator for invariant circles
• Chaotic transport by Rossby waves in shear flow
• Quantum Ratchets
• Detecting barriers to transport: a review of different techniques

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