The saturation bifurcation in coupled oscillators
| Autor: | James Hanna, H. G. Wood, Ahmed Roman |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
General Physics and Astronomy FOS: Physical sciences Mechanics Pattern Formation and Solitons (nlin.PS) 01 natural sciences Nonlinear Sciences - Pattern Formation and Solitons 010305 fluids & plasmas Nonlinear Sciences::Chaotic Dynamics Nonlinear system Quasiperiodicity 0103 physical sciences Periodic forcing Nonlinear Oscillations 010306 general physics Saturation (chemistry) Nonlinear Sciences::Pattern Formation and Solitons Bifurcation |
| DOI: | 10.48550/arxiv.1710.10317 |
| Popis: | We examine examples of weakly nonlinear systems whose steady states undergo a bifurcation with increasing forcing, such that a forced subsystem abruptly ceases to absorb additional energy, instead diverting it into an initially quiescent, unforced subsystem. We derive and numerically verify analytical predictions for the existence and behavior of such saturated states for a class of oscillator pairs. We also examine related phenomena, including zero-frequency response to periodic forcing, Hopf bifurcations to quasiperiodicity, and bifurcations to periodic behavior with multiple frequencies. Comment: minor additions in response to third parties |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|