Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system

Marius-F. Danca; Nikolay Kuznetsov; Guanrong Chen

doi:10.1007/s11071-016-3276-1

Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system

Marius-F. Danca^*
, Nikolay Kuznetsov
, Guanrong Chen

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

88 Citations (Scopus)

Abstract

This paper presents some numerical evidence of unusual dynamics and hidden chaotic attractors of the Rabinovich–Fabrikant system, with some insightful descriptions and discussions. From a generalized Hamiltonian energy perspective, the attractors could be analyzed in more details.

Original language	English
Pages (from-to)	791-805
Journal	Nonlinear Dynamics
Volume	88
Issue number	1
Online published	29 Dec 2016
DOIs	https://doi.org/10.1007/s11071-016-3276-1
Publication status	Published - Apr 2017

Research Keywords

Hamiltonian energy
Hidden chaotic attractor
Rabinovich–Fabrikant system
Self-excited attractor

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RGC-funded

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10.1007/s11071-016-3276-1

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title = "Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system",

abstract = "This paper presents some numerical evidence of unusual dynamics and hidden chaotic attractors of the Rabinovich–Fabrikant system, with some insightful descriptions and discussions. From a generalized Hamiltonian energy perspective, the attractors could be analyzed in more details.",

keywords = "Hamiltonian energy, Hidden chaotic attractor, Rabinovich–Fabrikant system, Self-excited attractor",

author = "Marius-F. Danca and Nikolay Kuznetsov and Guanrong Chen",

year = "2017",

month = apr,

doi = "10.1007/s11071-016-3276-1",

language = "English",

volume = "88",

pages = "791--805",

journal = "Nonlinear Dynamics",

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T1 - Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system

AU - Danca, Marius-F.

AU - Kuznetsov, Nikolay

AU - Chen, Guanrong

PY - 2017/4

Y1 - 2017/4

N2 - This paper presents some numerical evidence of unusual dynamics and hidden chaotic attractors of the Rabinovich–Fabrikant system, with some insightful descriptions and discussions. From a generalized Hamiltonian energy perspective, the attractors could be analyzed in more details.

AB - This paper presents some numerical evidence of unusual dynamics and hidden chaotic attractors of the Rabinovich–Fabrikant system, with some insightful descriptions and discussions. From a generalized Hamiltonian energy perspective, the attractors could be analyzed in more details.

KW - Hamiltonian energy

KW - Hidden chaotic attractor

KW - Rabinovich–Fabrikant system

KW - Self-excited attractor

UR - https://www.scopus.com/pages/publications/85007495765

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85007495765&origin=recordpage

U2 - 10.1007/s11071-016-3276-1

DO - 10.1007/s11071-016-3276-1

M3 - RGC 21 - Publication in refereed journal

SN - 0924-090X

VL - 88

SP - 791

EP - 805

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 1

ER -

Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system

Abstract

Research Keywords

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GRF: Pinning Controllability and Observability for Directed Networks of Non-identical Linear Node Systems with Multi-channel Connections

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Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system

Abstract

Research Keywords

RGC Funding Information

Access Output

Other Access Options

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GRF: Pinning Controllability and Observability for Directed Networks of Non-identical Linear Node Systems with Multi-channel Connections

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