Suppression and enhancement of vibrational resonance by time-periodic phase modulation in a driven gyroscope Article Swipe

PDF

P. O. Adesina , U. E. Vincent , T. O. Roy-Layinde , Olusola Kolebaje , Oyebola Popoola , P. V. E. McClintock ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.1103/physreve.111.054203

We have investigated the dynamics of a phase-modulated driven gyroscope, including vibrational resonance (VR) phenomena and the stability of the system, both with and without phase modulation. For appropriate choices of parameters, three distinct equilibrium states can be attained. We use the method of direct separation of the fast and slow motions to show that, in the presence of an additive external driving force, time-periodic phase modulation promotes resonance suppression. Both giant VR and antiresonance induction in the quiescent state arise within certain parameter ranges. The implications of the giant and suppressed resonances for gyroscope applications and beyond are discussed.

Related Topics

Artificial Intelligence

Concepts

Antiresonance Gyroscope Resonance (particle physics) Modulation (music) Phase (matter) Physics Phase modulation Frequency modulation Vibration Control theory (sociology) Atomic physics Computer science Acoustics Quantum mechanics Bandwidth (computing) Telecommunications Control (management) Artificial intelligence

Metadata

Type: article
Language: en
Landing Page: https://doi.org/10.1103/physreve.111.054203
PDF: http://link.aps.org/pdf/10.1103/PhysRevE.111.054203
OA Status: hybrid
References: 78
Related Works: 10
OpenAlex ID: https://openalex.org/W4410092099

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4410092099

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.1103/physreve.111.054203

Digital Object Identifier
Title: Suppression and enhancement of vibrational resonance by time-periodic phase modulation in a driven gyroscope

Work title
Type: article

OpenAlex work type
Language: en

Primary language
Publication year: 2025

Year of publication
Publication date: 2025-05-05

Full publication date if available
Authors: P. O. Adesina, U. E. Vincent, T. O. Roy-Layinde, Olusola Kolebaje, Oyebola Popoola, P. V. E. McClintock

List of authors in order
Landing page: https://doi.org/10.1103/physreve.111.054203

Publisher landing page
PDF URL: https://link.aps.org/pdf/10.1103/PhysRevE.111.054203

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: hybrid

Open access status per OpenAlex
OA URL: https://link.aps.org/pdf/10.1103/PhysRevE.111.054203

Direct OA link when available
Concepts: Antiresonance, Gyroscope, Resonance (particle physics), Modulation (music), Phase (matter), Physics, Phase modulation, Frequency modulation, Vibration, Control theory (sociology), Atomic physics, Computer science, Acoustics, Quantum mechanics, Bandwidth (computing), Telecommunications, Control (management), Artificial intelligence

Top concepts (fields/topics) attached by OpenAlex
Cited by: 0

Total citation count in OpenAlex
References (count): 78

Number of works referenced by this work
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4410092099
doi	https://doi.org/10.1103/physreve.111.054203
ids.doi	https://doi.org/10.1103/physreve.111.054203
ids.pmid	https://pubmed.ncbi.nlm.nih.gov/40534002
ids.openalex	https://openalex.org/W4410092099
fwci	0.0
type	article
title	Suppression and enhancement of vibrational resonance by time-periodic phase modulation in a driven gyroscope
biblio.issue	5
biblio.volume	111
biblio.last_page	054203
biblio.first_page	054203
grants[0].funder	https://openalex.org/F4320334627
grants[0].award_id	EP/X004597/1
grants[0].funder_display_name	Engineering and Physical Sciences Research Council
topics[0].id	https://openalex.org/T11449
topics[0].field.id	https://openalex.org/fields/31
topics[0].field.display_name	Physics and Astronomy
topics[0].score	0.9994999766349792
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/3107
topics[0].subfield.display_name	Atomic and Molecular Physics, and Optics
topics[0].display_name	Mechanical and Optical Resonators
topics[1].id	https://openalex.org/T11187
topics[1].field.id	https://openalex.org/fields/17
topics[1].field.display_name	Computer Science
topics[1].score	0.9983999729156494
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/1705
topics[1].subfield.display_name	Computer Networks and Communications
topics[1].display_name	Nonlinear Dynamics and Pattern Formation
topics[2].id	https://openalex.org/T11414
topics[2].field.id	https://openalex.org/fields/31
topics[2].field.display_name	Physics and Astronomy
topics[2].score	0.9959999918937683
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/3107
topics[2].subfield.display_name	Atomic and Molecular Physics, and Optics
topics[2].display_name	Quantum optics and atomic interactions
funders[0].id	https://openalex.org/F4320334627
funders[0].ror	https://ror.org/0439y7842
funders[0].display_name	Engineering and Physical Sciences Research Council
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C176150650
concepts[0].level	3
concepts[0].score	0.912346363067627
concepts[0].wikidata	https://www.wikidata.org/wiki/Q583042
concepts[0].display_name	Antiresonance
concepts[1].id	https://openalex.org/C158488048
concepts[1].level	2
concepts[1].score	0.8128272294998169
concepts[1].wikidata	https://www.wikidata.org/wiki/Q483400
concepts[1].display_name	Gyroscope
concepts[2].id	https://openalex.org/C139210041
concepts[2].level	2
concepts[2].score	0.6737490892410278
concepts[2].wikidata	https://www.wikidata.org/wiki/Q2145840
concepts[2].display_name	Resonance (particle physics)
concepts[3].id	https://openalex.org/C123079801
concepts[3].level	2
concepts[3].score	0.6572705507278442
concepts[3].wikidata	https://www.wikidata.org/wiki/Q750240
concepts[3].display_name	Modulation (music)
concepts[4].id	https://openalex.org/C44280652
concepts[4].level	2
concepts[4].score	0.555549681186676
concepts[4].wikidata	https://www.wikidata.org/wiki/Q104837
concepts[4].display_name	Phase (matter)
concepts[5].id	https://openalex.org/C121332964
concepts[5].level	0
concepts[5].score	0.5322214365005493
concepts[5].wikidata	https://www.wikidata.org/wiki/Q413
concepts[5].display_name	Physics
concepts[6].id	https://openalex.org/C96834759
concepts[6].level	3
concepts[6].score	0.5184923410415649
concepts[6].wikidata	https://www.wikidata.org/wiki/Q750463
concepts[6].display_name	Phase modulation
concepts[7].id	https://openalex.org/C11930861
concepts[7].level	3
concepts[7].score	0.49401789903640747
concepts[7].wikidata	https://www.wikidata.org/wiki/Q181417
concepts[7].display_name	Frequency modulation
concepts[8].id	https://openalex.org/C198394728
concepts[8].level	2
concepts[8].score	0.44170522689819336
concepts[8].wikidata	https://www.wikidata.org/wiki/Q3695508
concepts[8].display_name	Vibration
concepts[9].id	https://openalex.org/C47446073
concepts[9].level	3
concepts[9].score	0.32392245531082153
concepts[9].wikidata	https://www.wikidata.org/wiki/Q5165890
concepts[9].display_name	Control theory (sociology)
concepts[10].id	https://openalex.org/C184779094
concepts[10].level	1
concepts[10].score	0.20317667722702026
concepts[10].wikidata	https://www.wikidata.org/wiki/Q26383
concepts[10].display_name	Atomic physics
concepts[11].id	https://openalex.org/C41008148
concepts[11].level	0
concepts[11].score	0.16652551293373108
concepts[11].wikidata	https://www.wikidata.org/wiki/Q21198
concepts[11].display_name	Computer science
concepts[12].id	https://openalex.org/C24890656
concepts[12].level	1
concepts[12].score	0.15134575963020325
concepts[12].wikidata	https://www.wikidata.org/wiki/Q82811
concepts[12].display_name	Acoustics
concepts[13].id	https://openalex.org/C62520636
concepts[13].level	1
concepts[13].score	0.13261741399765015
concepts[13].wikidata	https://www.wikidata.org/wiki/Q944
concepts[13].display_name	Quantum mechanics
concepts[14].id	https://openalex.org/C2776257435
concepts[14].level	2
concepts[14].score	0.1028805673122406
concepts[14].wikidata	https://www.wikidata.org/wiki/Q1576430
concepts[14].display_name	Bandwidth (computing)
concepts[15].id	https://openalex.org/C76155785
concepts[15].level	1
concepts[15].score	0.05833187699317932
concepts[15].wikidata	https://www.wikidata.org/wiki/Q418
concepts[15].display_name	Telecommunications
concepts[16].id	https://openalex.org/C2775924081
concepts[16].level	2
concepts[16].score	0.0
concepts[16].wikidata	https://www.wikidata.org/wiki/Q55608371
concepts[16].display_name	Control (management)
concepts[17].id	https://openalex.org/C154945302
concepts[17].level	1
concepts[17].score	0.0
concepts[17].wikidata	https://www.wikidata.org/wiki/Q11660
concepts[17].display_name	Artificial intelligence
keywords[0].id	https://openalex.org/keywords/antiresonance
keywords[0].score	0.912346363067627
keywords[0].display_name	Antiresonance
keywords[1].id	https://openalex.org/keywords/gyroscope
keywords[1].score	0.8128272294998169
keywords[1].display_name	Gyroscope
keywords[2].id	https://openalex.org/keywords/resonance
keywords[2].score	0.6737490892410278
keywords[2].display_name	Resonance (particle physics)
keywords[3].id	https://openalex.org/keywords/modulation
keywords[3].score	0.6572705507278442
keywords[3].display_name	Modulation (music)
keywords[4].id	https://openalex.org/keywords/phase
keywords[4].score	0.555549681186676
keywords[4].display_name	Phase (matter)
keywords[5].id	https://openalex.org/keywords/physics
keywords[5].score	0.5322214365005493
keywords[5].display_name	Physics
keywords[6].id	https://openalex.org/keywords/phase-modulation
keywords[6].score	0.5184923410415649
keywords[6].display_name	Phase modulation
keywords[7].id	https://openalex.org/keywords/frequency-modulation
keywords[7].score	0.49401789903640747
keywords[7].display_name	Frequency modulation
keywords[8].id	https://openalex.org/keywords/vibration
keywords[8].score	0.44170522689819336
keywords[8].display_name	Vibration
keywords[9].id	https://openalex.org/keywords/control-theory
keywords[9].score	0.32392245531082153
keywords[9].display_name	Control theory (sociology)
keywords[10].id	https://openalex.org/keywords/atomic-physics
keywords[10].score	0.20317667722702026
keywords[10].display_name	Atomic physics
keywords[11].id	https://openalex.org/keywords/computer-science
keywords[11].score	0.16652551293373108
keywords[11].display_name	Computer science
keywords[12].id	https://openalex.org/keywords/acoustics
keywords[12].score	0.15134575963020325
keywords[12].display_name	Acoustics
keywords[13].id	https://openalex.org/keywords/quantum-mechanics
keywords[13].score	0.13261741399765015
keywords[13].display_name	Quantum mechanics
keywords[14].id	https://openalex.org/keywords/bandwidth
keywords[14].score	0.1028805673122406
keywords[14].display_name	Bandwidth (computing)
keywords[15].id	https://openalex.org/keywords/telecommunications
keywords[15].score	0.05833187699317932
keywords[15].display_name	Telecommunications
language	en
locations[0].id	doi:10.1103/physreve.111.054203
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4210235286
locations[0].source.issn	2470-0045, 2470-0053, 2470-0061
locations[0].source.type	journal
locations[0].source.is_oa	False
locations[0].source.issn_l	2470-0045
locations[0].source.is_core	True
locations[0].source.is_in_doaj	False
locations[0].source.display_name	Physical review. E
locations[0].source.host_organization	https://openalex.org/P4310320261
locations[0].source.host_organization_name	American Physical Society
locations[0].source.host_organization_lineage	https://openalex.org/P4310320261
locations[0].license	cc-by
locations[0].pdf_url	http://link.aps.org/pdf/10.1103/PhysRevE.111.054203
locations[0].version	publishedVersion
locations[0].raw_type	journal-article
locations[0].license_id	https://openalex.org/licenses/cc-by
locations[0].is_accepted	True
locations[0].is_published	True
locations[0].raw_source_name	Physical Review E
locations[0].landing_page_url	https://doi.org/10.1103/physreve.111.054203
locations[1].id	pmid:40534002
locations[1].is_oa	False
locations[1].source.id	https://openalex.org/S4306525036
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	False
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	PubMed
locations[1].source.host_organization	https://openalex.org/I1299303238
locations[1].source.host_organization_name	National Institutes of Health
locations[1].source.host_organization_lineage	https://openalex.org/I1299303238
locations[1].license
locations[1].pdf_url
locations[1].version	publishedVersion
locations[1].raw_type
locations[1].license_id
locations[1].is_accepted	True
locations[1].is_published	True
locations[1].raw_source_name	Physical review. E
locations[1].landing_page_url	https://pubmed.ncbi.nlm.nih.gov/40534002
indexed_in	crossref, pubmed
authorships[0].author.id	https://openalex.org/A5037194693
authorships[0].author.orcid
authorships[0].author.display_name	P. O. Adesina
authorships[0].countries	NG
authorships[0].affiliations[0].institution_ids	https://openalex.org/I181631907
authorships[0].affiliations[0].raw_affiliation_string	University of Ibadan
authorships[0].affiliations[1].institution_ids	https://openalex.org/I265584191
authorships[0].affiliations[1].raw_affiliation_string	Redeemer's University
authorships[0].institutions[0].id	https://openalex.org/I265584191
authorships[0].institutions[0].ror	https://ror.org/01v0we819
authorships[0].institutions[0].type	education
authorships[0].institutions[0].lineage	https://openalex.org/I265584191
authorships[0].institutions[0].country_code	NG
authorships[0].institutions[0].display_name	Redeemer's University
authorships[0].institutions[1].id	https://openalex.org/I181631907
authorships[0].institutions[1].ror	https://ror.org/03wx2rr30
authorships[0].institutions[1].type	education
authorships[0].institutions[1].lineage	https://openalex.org/I181631907
authorships[0].institutions[1].country_code	NG
authorships[0].institutions[1].display_name	University of Ibadan
authorships[0].author_position	first
authorships[0].raw_author_name	P. O. Adesina
authorships[0].is_corresponding	False
authorships[0].raw_affiliation_strings	Redeemer's University, University of Ibadan
authorships[1].author.id	https://openalex.org/A5064184823
authorships[1].author.orcid	https://orcid.org/0000-0002-3944-726X
authorships[1].author.display_name	U. E. Vincent
authorships[1].countries	GB, NG
authorships[1].affiliations[0].institution_ids	https://openalex.org/I67415387
authorships[1].affiliations[0].raw_affiliation_string	Lancaster University
authorships[1].affiliations[1].institution_ids	https://openalex.org/I265584191
authorships[1].affiliations[1].raw_affiliation_string	Redeemer's University
authorships[1].institutions[0].id	https://openalex.org/I67415387
authorships[1].institutions[0].ror	https://ror.org/04f2nsd36
authorships[1].institutions[0].type	education
authorships[1].institutions[0].lineage	https://openalex.org/I67415387
authorships[1].institutions[0].country_code	GB
authorships[1].institutions[0].display_name	Lancaster University
authorships[1].institutions[1].id	https://openalex.org/I265584191
authorships[1].institutions[1].ror	https://ror.org/01v0we819
authorships[1].institutions[1].type	education
authorships[1].institutions[1].lineage	https://openalex.org/I265584191
authorships[1].institutions[1].country_code	NG
authorships[1].institutions[1].display_name	Redeemer's University
authorships[1].author_position	middle
authorships[1].raw_author_name	U. E. Vincent
authorships[1].is_corresponding	False
authorships[1].raw_affiliation_strings	Lancaster University, Redeemer's University
authorships[2].author.id	https://openalex.org/A5019063846
authorships[2].author.orcid	https://orcid.org/0000-0001-5285-7231
authorships[2].author.display_name	T. O. Roy-Layinde
authorships[2].countries	NG
authorships[2].affiliations[0].institution_ids	https://openalex.org/I894372087
authorships[2].affiliations[0].raw_affiliation_string	Olabisi Onabanjo University
authorships[2].institutions[0].id	https://openalex.org/I894372087
authorships[2].institutions[0].ror	https://ror.org/05jt4c572
authorships[2].institutions[0].type	education
authorships[2].institutions[0].lineage	https://openalex.org/I894372087
authorships[2].institutions[0].country_code	NG
authorships[2].institutions[0].display_name	Olabisi Onabanjo University
authorships[2].author_position	middle
authorships[2].raw_author_name	T. O. Roy-Layinde
authorships[2].is_corresponding	False
authorships[2].raw_affiliation_strings	Olabisi Onabanjo University
authorships[3].author.id	https://openalex.org/A5086427430
authorships[3].author.orcid	https://orcid.org/0000-0002-7557-0257
authorships[3].author.display_name	Olusola Kolebaje
authorships[3].affiliations[0].raw_affiliation_string	Adeyemi Federal University of Education
authorships[3].author_position	middle
authorships[3].raw_author_name	O. T. Kolebaje
authorships[3].is_corresponding	False
authorships[3].raw_affiliation_strings	Adeyemi Federal University of Education
authorships[4].author.id	https://openalex.org/A5024161725
authorships[4].author.orcid	https://orcid.org/0000-0002-8563-2183
authorships[4].author.display_name	Oyebola Popoola
authorships[4].countries	NG
authorships[4].affiliations[0].institution_ids	https://openalex.org/I181631907
authorships[4].affiliations[0].raw_affiliation_string	University of Ibadan
authorships[4].institutions[0].id	https://openalex.org/I181631907
authorships[4].institutions[0].ror	https://ror.org/03wx2rr30
authorships[4].institutions[0].type	education
authorships[4].institutions[0].lineage	https://openalex.org/I181631907
authorships[4].institutions[0].country_code	NG
authorships[4].institutions[0].display_name	University of Ibadan
authorships[4].author_position	middle
authorships[4].raw_author_name	O. O. Popoola
authorships[4].is_corresponding	False
authorships[4].raw_affiliation_strings	University of Ibadan
authorships[5].author.id	https://openalex.org/A5028907771
authorships[5].author.orcid	https://orcid.org/0000-0003-3375-045X
authorships[5].author.display_name	P. V. E. McClintock
authorships[5].countries	GB
authorships[5].affiliations[0].institution_ids	https://openalex.org/I67415387
authorships[5].affiliations[0].raw_affiliation_string	Lancaster University
authorships[5].institutions[0].id	https://openalex.org/I67415387
authorships[5].institutions[0].ror	https://ror.org/04f2nsd36
authorships[5].institutions[0].type	education
authorships[5].institutions[0].lineage	https://openalex.org/I67415387
authorships[5].institutions[0].country_code	GB
authorships[5].institutions[0].display_name	Lancaster University
authorships[5].author_position	last
authorships[5].raw_author_name	P. V. E. McClintock
authorships[5].is_corresponding	False
authorships[5].raw_affiliation_strings	Lancaster University
has_content.pdf	True
has_content.grobid_xml	True
is_paratext	False
open_access.is_oa	True
open_access.oa_url	http://link.aps.org/pdf/10.1103/PhysRevE.111.054203
open_access.oa_status	hybrid
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Suppression and enhancement of vibrational resonance by time-periodic phase modulation in a driven gyroscope
has_fulltext	True
is_retracted	False
updated_date	2025-11-06T03:46:38.306776
primary_topic.id	https://openalex.org/T11449
primary_topic.field.id	https://openalex.org/fields/31
primary_topic.field.display_name	Physics and Astronomy
primary_topic.score	0.9994999766349792
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/3107
primary_topic.subfield.display_name	Atomic and Molecular Physics, and Optics
primary_topic.display_name	Mechanical and Optical Resonators
related_works	https://openalex.org/W1992988902, https://openalex.org/W4387474130, https://openalex.org/W2004723848, https://openalex.org/W2086788376, https://openalex.org/W2093157008, https://openalex.org/W1518527075, https://openalex.org/W2162174235, https://openalex.org/W4399965272, https://openalex.org/W2054254129, https://openalex.org/W2143773860
cited_by_count	0
locations_count	2
best_oa_location.id	doi:10.1103/physreve.111.054203
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4210235286
best_oa_location.source.issn	2470-0045, 2470-0053, 2470-0061
best_oa_location.source.type	journal
best_oa_location.source.is_oa	False
best_oa_location.source.issn_l	2470-0045
best_oa_location.source.is_core	True
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	Physical review. E
best_oa_location.source.host_organization	https://openalex.org/P4310320261
best_oa_location.source.host_organization_name	American Physical Society
best_oa_location.source.host_organization_lineage	https://openalex.org/P4310320261
best_oa_location.license	cc-by
best_oa_location.pdf_url	http://link.aps.org/pdf/10.1103/PhysRevE.111.054203
best_oa_location.version	publishedVersion
best_oa_location.raw_type	journal-article
best_oa_location.license_id	https://openalex.org/licenses/cc-by
best_oa_location.is_accepted	True
best_oa_location.is_published	True
best_oa_location.raw_source_name	Physical Review E
best_oa_location.landing_page_url	https://doi.org/10.1103/physreve.111.054203
primary_location.id	doi:10.1103/physreve.111.054203
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4210235286
primary_location.source.issn	2470-0045, 2470-0053, 2470-0061
primary_location.source.type	journal
primary_location.source.is_oa	False
primary_location.source.issn_l	2470-0045
primary_location.source.is_core	True
primary_location.source.is_in_doaj	False
primary_location.source.display_name	Physical review. E
primary_location.source.host_organization	https://openalex.org/P4310320261
primary_location.source.host_organization_name	American Physical Society
primary_location.source.host_organization_lineage	https://openalex.org/P4310320261
primary_location.license	cc-by
primary_location.pdf_url	http://link.aps.org/pdf/10.1103/PhysRevE.111.054203
primary_location.version	publishedVersion
primary_location.raw_type	journal-article
primary_location.license_id	https://openalex.org/licenses/cc-by
primary_location.is_accepted	True
primary_location.is_published	True
primary_location.raw_source_name	Physical Review E
primary_location.landing_page_url	https://doi.org/10.1103/physreve.111.054203
publication_date	2025-05-05
publication_year	2025
referenced_works	https://openalex.org/W2761234876, https://openalex.org/W2153246813, https://openalex.org/W2999683687, https://openalex.org/W144211706, https://openalex.org/W2998789246, https://openalex.org/W4242682534, https://openalex.org/W4239979135, https://openalex.org/W4392781693, https://openalex.org/W2116967254, https://openalex.org/W2296229624, https://openalex.org/W1971999579, https://openalex.org/W3125899865, https://openalex.org/W4324259132, https://openalex.org/W1836486619, https://openalex.org/W4297816430, https://openalex.org/W3125197166, https://openalex.org/W1975116547, https://openalex.org/W2084714767, https://openalex.org/W2107833546, https://openalex.org/W2784704503, https://openalex.org/W2902385630, https://openalex.org/W2883254659, https://openalex.org/W3025926474, https://openalex.org/W4402638116, https://openalex.org/W3103368135, https://openalex.org/W2094896067, https://openalex.org/W3080293665, https://openalex.org/W2903319592, https://openalex.org/W4220767115, https://openalex.org/W4284882459, https://openalex.org/W3124236811, https://openalex.org/W3209232632, https://openalex.org/W4385296817, https://openalex.org/W4386122079, https://openalex.org/W2120566851, https://openalex.org/W2108602901, https://openalex.org/W2152993564, https://openalex.org/W4406569772, https://openalex.org/W4384832206, https://openalex.org/W4392244979, https://openalex.org/W4398796280, https://openalex.org/W2000353516, https://openalex.org/W3122477459, https://openalex.org/W4282972984, https://openalex.org/W4402824730, https://openalex.org/W2151909438, https://openalex.org/W2086729843, https://openalex.org/W2063907815, https://openalex.org/W1995378979, https://openalex.org/W2415956281, https://openalex.org/W4313837622, https://openalex.org/W4376505832, https://openalex.org/W2125904900, https://openalex.org/W1996361194, https://openalex.org/W2064780023, https://openalex.org/W2075666369, https://openalex.org/W1552003454, https://openalex.org/W1977791777, https://openalex.org/W4321612159, https://openalex.org/W2176614147, https://openalex.org/W4376129032, https://openalex.org/W4403537702, https://openalex.org/W4391096960, https://openalex.org/W1974320357, https://openalex.org/W4323767233, https://openalex.org/W3135954582, https://openalex.org/W4229333018, https://openalex.org/W2779938737, https://openalex.org/W4396889055, https://openalex.org/W2965668628, https://openalex.org/W2079104967, https://openalex.org/W3032120116, https://openalex.org/W4298146065, https://openalex.org/W3124075538, https://openalex.org/W4238940476, https://openalex.org/W4401241928, https://openalex.org/W4252095277, https://openalex.org/W4396802100
referenced_works_count	78
abstract_inverted_index.a	6
abstract_inverted_index.VR	72
abstract_inverted_index.We	0, 39
abstract_inverted_index.an	59
abstract_inverted_index.be	37
abstract_inverted_index.in	55, 76
abstract_inverted_index.of	5, 18, 30, 43, 46, 58, 87
abstract_inverted_index.to	52
abstract_inverted_index.For	27
abstract_inverted_index.The	85
abstract_inverted_index.and	15, 23, 49, 73, 90, 96
abstract_inverted_index.are	98
abstract_inverted_index.can	36
abstract_inverted_index.for	93
abstract_inverted_index.the	3, 16, 19, 41, 47, 56, 77, 88
abstract_inverted_index.use	40
abstract_inverted_index.(VR)	13
abstract_inverted_index.Both	70
abstract_inverted_index.both	21
abstract_inverted_index.fast	48
abstract_inverted_index.have	1
abstract_inverted_index.show	53
abstract_inverted_index.slow	50
abstract_inverted_index.with	22
abstract_inverted_index.arise	80
abstract_inverted_index.giant	71, 89
abstract_inverted_index.phase	25, 65
abstract_inverted_index.state	79
abstract_inverted_index.that,	54
abstract_inverted_index.three	32
abstract_inverted_index.beyond	97
abstract_inverted_index.direct	44
abstract_inverted_index.driven	8
abstract_inverted_index.force,	63
abstract_inverted_index.method	42
abstract_inverted_index.states	35
abstract_inverted_index.within	81
abstract_inverted_index.certain	82
abstract_inverted_index.choices	29
abstract_inverted_index.driving	62
abstract_inverted_index.motions	51
abstract_inverted_index.ranges.	84
abstract_inverted_index.system,	20
abstract_inverted_index.without	24
abstract_inverted_index.additive	60
abstract_inverted_index.distinct	33
abstract_inverted_index.dynamics	4
abstract_inverted_index.external	61
abstract_inverted_index.presence	57
abstract_inverted_index.promotes	67
abstract_inverted_index.attained.	38
abstract_inverted_index.gyroscope	94
abstract_inverted_index.including	10
abstract_inverted_index.induction	75
abstract_inverted_index.parameter	83
abstract_inverted_index.phenomena	14
abstract_inverted_index.quiescent	78
abstract_inverted_index.resonance	12, 68
abstract_inverted_index.stability	17
abstract_inverted_index.discussed.	99
abstract_inverted_index.gyroscope,	9
abstract_inverted_index.modulation	66
abstract_inverted_index.resonances	92
abstract_inverted_index.separation	45
abstract_inverted_index.suppressed	91
abstract_inverted_index.appropriate	28
abstract_inverted_index.equilibrium	34
abstract_inverted_index.modulation.	26
abstract_inverted_index.parameters,	31
abstract_inverted_index.vibrational	11
abstract_inverted_index.applications	95
abstract_inverted_index.implications	86
abstract_inverted_index.investigated	2
abstract_inverted_index.suppression.	69
abstract_inverted_index.antiresonance	74
abstract_inverted_index.time-periodic	64
abstract_inverted_index.phase-modulated	7
cited_by_percentile_year
countries_distinct_count	2
institutions_distinct_count	6
citation_normalized_percentile.value	0.13506862
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False