Related Experiment Video
Updated: Jun 19, 2025

Fabrication and Testing of Microfluidic Optomechanical Oscillators
Published on: May 29, 2014
Dynamical analysis of a periodically forced chaotic chemical oscillator
Gonzalo Marcelo Ramírez-Ávila1,2,3,4, Tomasz Kapitaniak2, Didier Gonze4
1Namur Institute for Complex Systems (naXys), Université de Namur, Rue de Bruxelles 61, B-5000 Namur, Belgium.
Abstract:
We present a comprehensive dynamical analysis of a chaotic chemical model referred to as the autocatalator, when subject to a periodic administration of one substrate. Our investigation encompasses the dynamical characterization of both unforced and forced systems utilizing isospikes and largest Lyapunov exponents-based parameter planes, bifurcation diagrams, and analysis of complex oscillations. Additionally, we present a phase diagram showing the effect of the period and amplitude of the forcing signal on the system's behavior. Furthermore, we show how the landscapes of parameter planes are altered in response to forcing application. This analysis contributes to a deeper understanding of the intricate dynamics induced by the periodic forcing of a chaotic system.
Related Concept Videos
Forced Oscillations
Damped Oscillations
Although friction and other non-conservative...
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...
Oscillations about an Equilibrium Position
One-Degree-of-Freedom System
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
Types of Damping

