High order analysis of the limit cycle of the van der Pol oscillator-Reference-Cited by-同舟云学术

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High order analysis of the limit cycle of the van der Pol oscillator

Published:2018-01 Issue:1 Volume:59 Page:012702
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Amore Paolo¹^ORCID,Boyd John P.²^ORCID,Fernández Francisco M.³^ORCID

Affiliation:

1. Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, Mexico

2. Department of Atmospheric, Oceanic and Space Science, University of Michigan, 2455 Hayward Avenue, Ann Arbor, Michigan 48109, USA

3. INIFTA (CONICET), División Química Teórica, Blvd. 113 y 64 (S/N), Sucursal 4, Casilla de Correo 16, 1900 La Plata, Argentina

Funder

National Science Foundation

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/am-pdf/10.1063/1.5016961

Reference45 articles.

1. Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept

2. Self-oscillation

3. LXXII.The heartbeat considered as a relaxation oscillation, and an electrical model of the heart

4. Impulses and Physiological States in Theoretical Models of Nerve Membrane

5. Numerical solutions of the Van der Pol equation

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1. Attracting invariant tori and analytic conjugacies;Journal of Differential Equations;2024-07

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3. Study on Mechanical Vibration Control of Limit Cycle Oscillations in the Van der Pol Oscillator by means of Nonlinear Energy Sink;Journal of Vibration Engineering & Technologies;2023-02-03

4. Comment on “Confined Klein–Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance”;Annals of Physics;2023-02

5. Attracting Invariant Tori and Analytic Conjugacies;2023

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