Dynamics of periodically kicked oscillators

Kevin K. Lin; Lai Sang Young

doi:10.1007/s11784-010-0025-9

Dynamics of periodically kicked oscillators

Kevin K. Lin, Lai Sang Young

Mathematics

Research output: Contribution to journal › Review article › peer-review

Abstract

We review some recent results surrounding a general mechanism for producing chaotic behavior in periodically kicked oscillators. The key geometric ideas are illustrated via a simple linear shear model.

Original language	English (US)
Pages (from-to)	291-312
Number of pages	22
Journal	Journal of Fixed Point Theory and Applications
Volume	7
Issue number	2
DOIs	https://doi.org/10.1007/s11784-010-0025-9
State	Published - 2010

ASJC Scopus subject areas

Modeling and Simulation
Geometry and Topology
Applied Mathematics

Access to Document

10.1007/s11784-010-0025-9

Cite this

@article{ee4fcdebe2184b248d417f36a39f07b3,

title = "Dynamics of periodically kicked oscillators",

abstract = "We review some recent results surrounding a general mechanism for producing chaotic behavior in periodically kicked oscillators. The key geometric ideas are illustrated via a simple linear shear model.",

author = "Lin, {Kevin K.} and Young, {Lai Sang}",

note = "Funding Information: KL was supported in part by NSF Grant DMS-0907927. LSY was supported in part by NSF Grant DMS-0600974.",

year = "2010",

doi = "10.1007/s11784-010-0025-9",

language = "English (US)",

volume = "7",

pages = "291--312",

journal = "Journal of Fixed Point Theory and Applications",

issn = "1661-7738",

publisher = "Springer Science + Business Media",

number = "2",

}

TY - JOUR

T1 - Dynamics of periodically kicked oscillators

AU - Lin, Kevin K.

AU - Young, Lai Sang

N1 - Funding Information: KL was supported in part by NSF Grant DMS-0907927. LSY was supported in part by NSF Grant DMS-0600974.

PY - 2010

Y1 - 2010

N2 - We review some recent results surrounding a general mechanism for producing chaotic behavior in periodically kicked oscillators. The key geometric ideas are illustrated via a simple linear shear model.

AB - We review some recent results surrounding a general mechanism for producing chaotic behavior in periodically kicked oscillators. The key geometric ideas are illustrated via a simple linear shear model.

UR - http://www.scopus.com/inward/record.url?scp=77957320589&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957320589&partnerID=8YFLogxK

U2 - 10.1007/s11784-010-0025-9

DO - 10.1007/s11784-010-0025-9

M3 - Review article

AN - SCOPUS:77957320589

SN - 1661-7738

VL - 7

SP - 291

EP - 312

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 2

ER -

Dynamics of periodically kicked oscillators

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this