Periodic Orbits in Slowly Varying Oscillators
Copyright policy )Periodic Orbits in Slowly Varying Oscillators
We develop a global perturbation technique for the study of periodic orbits in three-dimensional, time dependent and independent, perturbations of planar Hamiltonian differential equations. We give existence, stability and bifurcation theorems and illustrate our results with examples that exhibit saddle-node and Hopf bifurcations of periodic orbits.
- Cornell University United States
- California Institute of Technology United States
saddle-node, Local and nonlocal bifurcation theory for dynamical systems, Hamiltonian differential equations, slowly varying oscillators, bifurcation theorems, Melnikov method, Hopf bifurcations, Periodic solutions to ordinary differential equations, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
saddle-node, Local and nonlocal bifurcation theory for dynamical systems, Hamiltonian differential equations, slowly varying oscillators, bifurcation theorems, Melnikov method, Hopf bifurcations, Periodic solutions to ordinary differential equations, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).39 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!