Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets

DOI10.1017/S0143385700003412zbMath0582.58020MaRDI QIDQ3704644

Kevin G. Hockett, Philip J. Holmes

Publication date: 1986

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

symbolic dynamicsrotation numbersSmale's horseshoeBirkhoff attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items (16)

Truncated fractal basin boundaries in the pendulum with nonperiodic forcing ⋮ Secondary homoclinic bifurcation theorems ⋮ Evidence for homoclinic orbits as a precursor to chaos in a magnetic pendulum ⋮ Rotational chaos in dissipative systems ⋮ Rotation sets and Morse decompositions in twist maps ⋮ Nonintegrability of forced nonlinear oscillators ⋮ Nonlinear rotations ⋮ Basic facts about homoclinic and heteroclinic orbits and their importance in the theory of analytical chaos ⋮ Melnikov's vector - a ``Measure of chaos ⋮ Phase locking in integrate-and-fire models with refractory periods and modulation ⋮ Non-monotone periodic orbits of a rotational horseshoe ⋮ Examples of attracting sets of Birkhoff type ⋮ Classification of strange attractors by integers ⋮ Dynamics of Dissipative Systems with Hamiltonian Structures ⋮ Rotation numbers of periodic orbits in the Hénon map ⋮ Islands of accelerator modes and homoclinic tangles

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