Numerical computation of invariant circles of maps

DOI10.1016/0167-2789(85)90061-2zbMath0581.58030OpenAlexW1987251863MaRDI QIDQ1067675

B. George

Publication date: 1985

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/1682

zbMATH Keywords

discretization and Newton iterationnumerical computation of invariant circles of maps

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99) Software, source code, etc. for problems pertaining to global analysis (58-04)

Related Items

On the numerical approximation of the rotation number ⋮ Computing Arnol'd tongue scenarios ⋮ A NEWTON METHOD FOR LOCATING INVARIANT TORI OF MAPS ⋮ A COMPUTER-ASSISTED STUDY OF GLOBAL DYNAMIC TRANSITIONS FOR A NONINVERTIBLE SYSTEM ⋮ Backbone transitions and invariant tori in forced micromechanical oscillators with optical detection ⋮ Multiple poincaré sections method for finding the quasiperiodic orbits of the restricted three body problem ⋮ On the sighting of unicorns: A variational approach to computing invariant sets in dynamical systems ⋮ ON THE NUMERICAL CONTINUATION OF ISOLAS OF EQUILIBRIA ⋮ Convergence Results for Invariant Curve Algorithms ⋮ On the Computation of Finite Invariant Sets of Mappings ⋮ Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies

Uses Software

• YSMP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bifurcations of tori and phase locking in a dissipative system of differential equations
• Strange attractors that are not chaotic
• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• Fractalization of Torus
• Yale sparse matrix package I: The symmetric codes