Related Experiment Video
Updated: Jul 6, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
Published on: December 15, 2021
Chaotic phase similarities and recurrences in a damped-driven Duffing oscillator
Cristian Bonatto1, Jason A C Gallas, Yoshisuke Ueda
1Instituto de Física, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil.
Abstract:
We report strong evidence of remarkably close periodic repetitions of the structuring of the parameter space of a damped-driven Duffing oscillator as the amplitude of the drive increases. Families of period-adding cascades and some intricate networks of periodic oscillations embedded in chaotic phases are also found to recur closely as the driving force grows. Such surprising regularities suggest that some hitherto unknown renormalization mechanism may be operating in higher codimension, controlling the alternation of chaos and order in parameter space of certain flows.
Related Concept Videos
Damped Oscillations
Although friction and other non-conservative...
Forced Oscillations
Types of Damping
RLC Circuit as a Damped Oscillator
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Design Example: Underdamped Parallel RLC Circuit
Starting with a fixed...
Second Order systems II
If ζ...