Estimation of Chaotic and Regular (Stick-slip and Slip-slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction

Celso Grebogi; L. Dzyubak; J. Awrejcewicz

doi:10.1007/s11071-005-7183-0

Estimation of Chaotic and Regular (Stick-slip and Slip-slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction

Celso Grebogi
, L. Dzyubak
, J. Awrejcewicz

Physics

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

In this paper, we present a novel approach to quantify regular or chaotic dynamics of either smooth or non-smooth dynamical systems. The introduced method is applied to trace regular and chaotic stick-slip and slip-slip dynamics. Stick-slip and slip-slip periodic and chaotic trajectories are analyzed (for the investigated parameters, a stick-slip dynamics dominates). Advantages of the proposed numerical technique are given.

Original language	English
Pages (from-to)	383-394
Number of pages	11
Journal	Nonlinear Dynamics
Volume	42
DOIs	https://doi.org/10.1007/s11071-005-7183-0
Publication status	Published - 2005

Keywords

coupled oscillators
chaotic dynamics
stick-slip
slip-slip motion
DYNAMICS
SYSTEMS
FREEDOM
ORBITS

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10.1007/s11071-005-7183-0

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title = "Estimation of Chaotic and Regular (Stick-slip and Slip-slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction",

abstract = "In this paper, we present a novel approach to quantify regular or chaotic dynamics of either smooth or non-smooth dynamical systems. The introduced method is applied to trace regular and chaotic stick-slip and slip-slip dynamics. Stick-slip and slip-slip periodic and chaotic trajectories are analyzed (for the investigated parameters, a stick-slip dynamics dominates). Advantages of the proposed numerical technique are given.",

keywords = "coupled oscillators, chaotic dynamics, stick-slip, slip-slip motion, DYNAMICS, SYSTEMS, FREEDOM, ORBITS",

author = "Celso Grebogi and L. Dzyubak and J. Awrejcewicz",

year = "2005",

doi = "10.1007/s11071-005-7183-0",

language = "English",

volume = "42",

pages = "383--394",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

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AU - Grebogi, Celso

AU - Dzyubak, L.

AU - Awrejcewicz, J.

PY - 2005

Y1 - 2005

N2 - In this paper, we present a novel approach to quantify regular or chaotic dynamics of either smooth or non-smooth dynamical systems. The introduced method is applied to trace regular and chaotic stick-slip and slip-slip dynamics. Stick-slip and slip-slip periodic and chaotic trajectories are analyzed (for the investigated parameters, a stick-slip dynamics dominates). Advantages of the proposed numerical technique are given.

AB - In this paper, we present a novel approach to quantify regular or chaotic dynamics of either smooth or non-smooth dynamical systems. The introduced method is applied to trace regular and chaotic stick-slip and slip-slip dynamics. Stick-slip and slip-slip periodic and chaotic trajectories are analyzed (for the investigated parameters, a stick-slip dynamics dominates). Advantages of the proposed numerical technique are given.

KW - coupled oscillators

KW - chaotic dynamics

KW - stick-slip

KW - slip-slip motion

KW - DYNAMICS

KW - SYSTEMS

KW - FREEDOM

KW - ORBITS

U2 - 10.1007/s11071-005-7183-0

DO - 10.1007/s11071-005-7183-0

M3 - Article

SN - 0924-090X

VL - 42

SP - 383

EP - 394

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

ER -

Estimation of Chaotic and Regular (Stick-slip and Slip-slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction

Abstract

Keywords

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