The effect of inversely unstable solutions on the attractor of the forced pendulum equation with friction

DOI10.1016/J.JDE.2004.07.012zbMath1074.34055OpenAlexW2020759332MaRDI QIDQ1779290

Rogério Ferreira Martins

Publication date: 1 June 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.07.012

zbMATH Keywords

pendulumperiodic solutionattractor

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Attractors of solutions to ordinary differential equations (34D45)

Related Items (7)

Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere ⋮ Globally and locally attractive solutions for quasi-periodically forced systems ⋮ NUMERICAL AND EXPERIMENTAL STUDY OF REGULAR AND CHAOTIC MOTION OF TRIPLE PHYSICAL PENDULUM ⋮ Existence of running solutions in a relativistic Tricomi's equation using perturbation theory ⋮ INVERSELY UNSTABLE SOLUTIONS OF TWO-DIMENSIONAL SYSTEMS ON GENUS-p SURFACES AND THE TOPOLOGY OF KNOTTED ATTRACTORS ⋮ The attractor of an equation of Tricomi's type ⋮ Synchronisation of weakly coupled oscillators

Cites Work

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• Global behavior in the dynamical equation
• Bounded homeomorphisms of the open annulus
• Transformation theory of non-linear differential equations of the second order
• Propriétés des attracteurs de Birkhoff
• The First Interval of Stability of a Periodic Equation of Duffing Type
• The index and the asymptotic stability of fixed points in two dimensions: A counterexample

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