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Existence of a smooth Lyapunov function for any smooth planar dynamical system with one limit cycle

Existence of a smooth Lyapunov function for any smooth planar dynamical system with one limit cycle

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2569488201

Existence of a smooth Lyapunov function for any smooth planar dynamical system with one limit cycle

About this item

Full title

Existence of a smooth Lyapunov function for any smooth planar dynamical system with one limit cycle

Publisher

Dordrecht: Springer Netherlands

Journal title

Nonlinear dynamics, 2021-09, Vol.105 (4), p.3117-3130

Language

English

Formats

Publication information

Publisher

Dordrecht: Springer Netherlands

More information

Scope and Contents

Contents

The existence of a smooth Lyapunov function for any smooth planar dynamical system with one limit cycle is proved, which is based on a novel decomposition of the dynamical system from the perspective of mechanics and some definitions and known theorems. By considering the smooth simple closed curve in the complex plane corresponding to the limit cy...

Alternative Titles

Full title

Existence of a smooth Lyapunov function for any smooth planar dynamical system with one limit cycle

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2569488201

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2569488201

Other Identifiers

ISSN

0924-090X

E-ISSN

1573-269X

DOI

10.1007/s11071-021-06775-8

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