Shifts in control parameter dynamically access individual attractors in a multistable system

We propose a technique called the power-shift method to discover new attractors and access known attractors in experimental systems by solely shifting the control parameter of a multistable system in situ. Power shifting is a type of incremental perturbation of the control parameter that allows the...

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Bibliographic Details
Published in:Nonlinear dynamics 2021-07, Vol.105 (2), p.1877-1883
Main Authors: Burton, E. K. T., Hall, J. R., Chapman, D. M., Bandy, D. K.
Format: Article
Language:English
Subjects:
Access control
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Control systems
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Parameters
Perturbation
Vibration
Windows (intervals)
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Summary:We propose a technique called the power-shift method to discover new attractors and access known attractors in experimental systems by solely shifting the control parameter of a multistable system in situ. Power shifting is a type of incremental perturbation of the control parameter that allows the system to be placed in an otherwise difficult-to-access attractor by using other attractors as steppingstones. We find that by power shifting within certain time windows of the limit cycle, we can reliably access a desired attractor. The power-shift method is demonstrated theoretically with noise using a single-mode coherent model of a laser with injected signal.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06667-x