Power series approach to nonlinear oscillators Article Swipe
Ata Abu- As’ad
,
Jihad Asad
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1177/14613484231188756
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1177/14613484231188756
In this article, we introduce a nonlinear oscillator equation containing two strong linear terms. An approximate solution was obtained using power series approach. Furthermore, by introducing a parameter to the original equation, we fined the fixed points of the modified nonlinear oscillator equation and study stability analysis of these fixed points. On the other hand, we simulate the solution of the nonlinear oscillator equation and introduced many plots for different initial conditions. Finally, we make some plots concerning the phase portrait for different cases.
Related Topics
Concepts
Phase portrait
Nonlinear system
Power series
Series (stratigraphy)
Mathematics
Stability (learning theory)
Power (physics)
Mathematical analysis
Fixed point
Van der Pol oscillator
Applied mathematics
Control theory (sociology)
Bifurcation
Physics
Computer science
Quantum mechanics
Biology
Machine learning
Artificial intelligence
Control (management)
Paleontology
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1177/14613484231188756
- OA Status
- gold
- Cited By
- 10
- References
- 42
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4385247407
All OpenAlex metadata
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https://openalex.org/W4385247407Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1177/14613484231188756Digital Object Identifier
- Title
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Power series approach to nonlinear oscillatorsWork title
- Type
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articleOpenAlex work type
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enPrimary language
- Publication year
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2023Year of publication
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2023-07-25Full publication date if available
- Authors
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Ata Abu- As’ad, Jihad AsadList of authors in order
- Landing page
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https://doi.org/10.1177/14613484231188756Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
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https://doi.org/10.1177/14613484231188756Direct OA link when available
- Concepts
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Phase portrait, Nonlinear system, Power series, Series (stratigraphy), Mathematics, Stability (learning theory), Power (physics), Mathematical analysis, Fixed point, Van der Pol oscillator, Applied mathematics, Control theory (sociology), Bifurcation, Physics, Computer science, Quantum mechanics, Biology, Machine learning, Artificial intelligence, Control (management), PaleontologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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10Total citation count in OpenAlex
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2025: 4, 2024: 6Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W3209850807, https://openalex.org/W2052694002, https://openalex.org/W2001542672, https://openalex.org/W1986733226, https://openalex.org/W2131991741, https://openalex.org/W2097874398, https://openalex.org/W2089876099, https://openalex.org/W1979776866, https://openalex.org/W2902687761, https://openalex.org/W2594492174, https://openalex.org/W4313328400, https://openalex.org/W4310034768, https://openalex.org/W4308122608, https://openalex.org/W2946977314, https://openalex.org/W4200403144, https://openalex.org/W2082600808, https://openalex.org/W2038603841, https://openalex.org/W1993324763, https://openalex.org/W2131952975, https://openalex.org/W2013007661, https://openalex.org/W2012734417, https://openalex.org/W1985704842, https://openalex.org/W2090574253, https://openalex.org/W2091662017, https://openalex.org/W2010404214, https://openalex.org/W2058139179, https://openalex.org/W2041260986, https://openalex.org/W1986793808, https://openalex.org/W2064843145, https://openalex.org/W4385720371, https://openalex.org/W2018245325, https://openalex.org/W1989499854, https://openalex.org/W1980445844, https://openalex.org/W2901515955, https://openalex.org/W2903894682, https://openalex.org/W4292133320, https://openalex.org/W2037403337, https://openalex.org/W4385724680, https://openalex.org/W1588906117, https://openalex.org/W4231726334, https://openalex.org/W2316463358, https://openalex.org/W4242149344 |
| referenced_works_count | 42 |
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| corresponding_author_ids | https://openalex.org/A5031157741 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| corresponding_institution_ids | https://openalex.org/I2799716270 |
| citation_normalized_percentile.value | 0.89289749 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |