From multi-layered resonance tori to period-doubled ergodic tori

Z.T. Zhusubaliyev; Jakob Lund Laugesen; Erik Mosekilde

doi:10.1016/j.physleta.2010.04.022

From multi-layered resonance tori to period-doubled ergodic tori

Z.T. Zhusubaliyev
, Jakob Lund Laugesen
, Erik Mosekilde

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

Abstract

The Letter presents a number of new bifurcation structures that can be observed when a multidimensional period-doubling system is subjected to a periodic forcing. We show how multi-layered tori arise through transverse period-doubling bifurcations of the resonant saddle and node cycles, and how these multi-layered tori transform into period-doubled ergodic tori through sets of saddle-node bifurcations.

Original language	English
Journal	Physics Letters A
Volume	374
Issue number	25
Pages (from-to)	2534-2538
ISSN	0375-9601
DOIs	https://doi.org/10.1016/j.physleta.2010.04.022
Publication status	Published - 2010

Keywords

Transverse period-doubling cascades
Bifurcation structure
Multi-dimensional dynamics
Torus-doubling bifurcations
Multi-layered tori
Forced period-doubling systems

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10.1016/j.physleta.2010.04.022

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title = "From multi-layered resonance tori to period-doubled ergodic tori",

abstract = "The Letter presents a number of new bifurcation structures that can be observed when a multidimensional period-doubling system is subjected to a periodic forcing. We show how multi-layered tori arise through transverse period-doubling bifurcations of the resonant saddle and node cycles, and how these multi-layered tori transform into period-doubled ergodic tori through sets of saddle-node bifurcations.",

keywords = "Transverse period-doubling cascades, Bifurcation structure, Multi-dimensional dynamics, Torus-doubling bifurcations, Multi-layered tori, Forced period-doubling systems",

author = "Z.T. Zhusubaliyev and Laugesen, \{Jakob Lund\} and Erik Mosekilde",

year = "2010",

doi = "10.1016/j.physleta.2010.04.022",

language = "English",

volume = "374",

pages = "2534--2538",

journal = "Physics Letters A",

issn = "0375-9601",

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TY - JOUR

T1 - From multi-layered resonance tori to period-doubled ergodic tori

AU - Zhusubaliyev, Z.T.

AU - Laugesen, Jakob Lund

AU - Mosekilde, Erik

PY - 2010

Y1 - 2010

N2 - The Letter presents a number of new bifurcation structures that can be observed when a multidimensional period-doubling system is subjected to a periodic forcing. We show how multi-layered tori arise through transverse period-doubling bifurcations of the resonant saddle and node cycles, and how these multi-layered tori transform into period-doubled ergodic tori through sets of saddle-node bifurcations.

AB - The Letter presents a number of new bifurcation structures that can be observed when a multidimensional period-doubling system is subjected to a periodic forcing. We show how multi-layered tori arise through transverse period-doubling bifurcations of the resonant saddle and node cycles, and how these multi-layered tori transform into period-doubled ergodic tori through sets of saddle-node bifurcations.

KW - Transverse period-doubling cascades

KW - Bifurcation structure

KW - Multi-dimensional dynamics

KW - Torus-doubling bifurcations

KW - Multi-layered tori

KW - Forced period-doubling systems

U2 - 10.1016/j.physleta.2010.04.022

DO - 10.1016/j.physleta.2010.04.022

M3 - Journal article

SN - 0375-9601

VL - 374

SP - 2534

EP - 2538

JO - Physics Letters A

JF - Physics Letters A

IS - 25

ER -

From multi-layered resonance tori to period-doubled ergodic tori

Abstract

Keywords

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