Analytical approximation for period-doubling following a Hopf bifurcation
From MaRDI portal
Publication:1825492
DOI10.1016/0093-6413(89)90022-0zbMath0684.58030OpenAlexW2024209920MaRDI QIDQ1825492
Publication date: 1989
Published in: Mechanics Research Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0093-6413(89)90022-0
stabilitylimit cyclecenter manifoldperiod-doubling bifurcationautonomous ordinary differential equations
Periodic solutions to ordinary differential equations (34C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (12)
A new perturbation procedure for limit cycle analysis in three-dimensional nonlinear autonomous dynamical systems ⋮ A NEWTON METHOD FOR LOCATING INVARIANT TORI OF MAPS ⋮ ON SEMI-ANALYTICAL PROCEDURE FOR DETECTING LIMIT CYCLE BIFURCATIONS ⋮ Continuous and discontinuous grazing bifurcations in impacting oscillators ⋮ HOPF BIFURCATIONS AND DEGENERACIES IN CHUA'S CIRCUIT — A PERSPECTIVE FROM A FREQUENCY DOMAIN APPROACH ⋮ Analysis of grazing bifurcations of quasiperiodic system attractors ⋮ HYBRID CONTROL OF BIFURCATION IN CONTINUOUS NONLINEAR DYNAMICAL SYSTEMS ⋮ Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics ⋮ The application of the undetermined fundamental frequency method on the period-doubling bifurcation of the 3D nonlinear system ⋮ Existence and analytical approximations of limit cycles in a three-dimensional nonlinear autonomous feedback control system ⋮ Bifurcations of mode equations: Spin waves ⋮ On period doubling bifurcations of cycles and the harmonic balance method
Uses Software
This page was built for publication: Analytical approximation for period-doubling following a Hopf bifurcation
