Folding State within a Hysteresis Loop: Hidden Multistability in Nonlinear Physical Systems

Meng Xia Bi, Huawei Fan, Xiao Hong Yan, Ying Cheng Lai

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Identifying hidden states in nonlinear physical systems that evade direct experimental detection is important as disturbances and noises can place the system in a hidden state with detrimental consequences. We study a cavity magnonic system whose main physics is photon and magnon Kerr effects. Sweeping a bifurcation parameter in numerical experiments (as would be done in actual experiments) leads to a hysteresis loop with two distinct stable steady states, but analytic calculation gives a third folded steady state "hidden"in the loop, which gives rise to the phenomenon of hidden multistability. We propose an experimentally feasible control method to drive the system into the folded hidden state. We demonstrate, through a ternary cavity magnonic system and a gene regulatory network, that such hidden multistability is in fact quite common. Our findings shed light on hidden dynamical states in nonlinear physical systems which are not directly observable but can present challenges and opportunities in applications.

Original languageEnglish (US)
Article number137201
JournalPhysical Review Letters
Volume132
Issue number13
DOIs
StatePublished - Mar 29 2024
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

Fingerprint

Dive into the research topics of 'Folding State within a Hysteresis Loop: Hidden Multistability in Nonlinear Physical Systems'. Together they form a unique fingerprint.

Cite this