The Dissipative Nonlocal Oscillator
The most important characteristics of a nonlocal and nonlinear oscillator subject to dissipative forces are extensively studied by means of an asymptotic perturbation method, based upon temporal rescaling and harmonic balance. The conditions under which bifurcations and limit cycles appear are deter...
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| Published in | Nonlinear dynamics Vol. 16; no. 4; pp. 307 - 320 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Dordrecht
Springer Nature B.V
01.08.1998
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0924-090X 1573-269X |
| DOI | 10.1023/A:1008290009964 |
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| Abstract | The most important characteristics of a nonlocal and nonlinear oscillator subject to dissipative forces are extensively studied by means of an asymptotic perturbation method, based upon temporal rescaling and harmonic balance. The conditions under which bifurcations and limit cycles appear are determined. If the parameters satisfy particular conditions, a quasi-periodic motion is predicted, because a second small frequency adds to the natural frequency of the oscillator. The analytical results are validated by numerically solving the original system. |
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| AbstractList | The most important characteristics of a nonlocal and nonlinear oscillator subject to dissipative forces are extensively studied by means of an asymptotic perturbation method, based upon temporal rescaling and harmonic balance. The conditions under which bifurcations and limit cycles appear are determined. If the parameters satisfy particular conditions, a quasi-periodic motion is predicted, because a second small frequency adds to the natural frequency of the oscillator. The analytical results are validated by numerically solving the original system. |
| Author | Maccari, Attilio |
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| Cites_doi | 10.1007/BF02743288 10.1088/0266-5611/3/2/008 10.1063/1.531773 |
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| Copyright | Nonlinear Dynamics is a copyright of Springer, (1998). All Rights Reserved. |
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| DOI | 10.1023/A:1008290009964 |
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| References | J. Guckenheimer (166889_CR6) 1990 A. Maccari (166889_CR5) 1996; 37 166889_CR2 F. Calogero (166889_CR4) 1988 F. Calogero (166889_CR3) 1987; 3 R. H. Rand (166889_CR7) 1985 S. Chapra (166889_CR8) 1985 A. Maccari (166889_CR1) 1996; 111 |
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| Snippet | The most important characteristics of a nonlocal and nonlinear oscillator subject to dissipative forces are extensively studied by means of an asymptotic... |
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| SubjectTerms | Asymptotic methods Bifurcations Perturbation methods Rescaling Resonant frequencies |
| Title | The Dissipative Nonlocal Oscillator |
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