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Related Experiment Video

Updated: May 11, 2026

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

Intermittent control of coexisting attractors.

Yang Liu¹, Marian Wiercigroch, James Ing

¹Centre for Applied Dynamics Research, School of Engineering, King's College, University of Aberdeen, Aberdeen, UK.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|May 22, 2013

Summary

This study introduces intermittent control for dynamical systems with multiple attractors. By using knowledge of basins of attraction, the method switches system responses between attractors with impulsive forces.

Keywords:

Duffing oscillator coexisting attractors impact oscillator intermittent control non-autonomous dynamical systems

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Last Updated: May 11, 2026

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

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Irrelevant Stimuli and Action Control: Analyzing the Influence of Ignored Stimuli via the Distractor-Response Binding Paradigm

Irrelevant Stimuli and Action Control: Analyzing the Influence of Ignored Stimuli via the Distractor-Response Binding Paradigm

Published on: May 14, 2014

Area of Science:

Nonlinear Dynamics
Control Theory
Dynamical Systems

Background:

Dynamical systems can exhibit multiple coexisting attractors, leading to complex behaviors.
Controlling transitions between these attractors is a significant challenge in nonlinear dynamics.

Purpose of the Study:

To propose a novel intermittent control method for switching between coexisting attractors in non-autonomous dynamical systems.
To investigate the influence of control force magnitude and duration on the effectiveness of attractor switching.

Main Methods:

Utilizing knowledge of basins of attraction to guide control actions.
Applying intermittent impulsive forces when system trajectories approach a proximity constraint.
Developing a constrained intermittent control law to analyze limited control force effects.

Main Results:

Successfully demonstrated attractor switching in both smooth (Duffing oscillator) and non-smooth (impact oscillator) systems.
Showed that increased control duration and/or actuation frequency enable switching with lower control force.
Validated the proposed method through numerical simulations and experimental results.

Conclusions:

The proposed intermittent control strategy is effective for managing transitions between coexisting attractors.
The method offers a viable approach for controlling complex dynamical systems with limited control resources.
This work provides valuable insights for the design of controllers in systems with multiple stable states.