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Nonlinear Dynamics and Chaos
Abstract
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
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Cited by
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Ozbudak, E. M., Thattai, M., Lim, H. N., Shraiman, B. I., & van Oudenaarden, A. (2004) · Nature · doi:10.1038/nature02298 · Cited by 1,030
Cosmology of generalized modified gravity models
Carroll, S. M., De Felice, A., Duvvuri, V., Easson, D. A., Trodden, M., & Turner, M. S. (2005) · Physical Review D · doi:10.1103/physrevd.71.063513 · Cited by 604
Metadata
- Authors
- Strogatz, S. H.
- Venue
- CRC Press eBooks
- Publisher
- CRC Press
- Published
- 2018-05-04
- OpenAlex
- W4300059230
- Cited by
- 2,133
- References
- 0
- FWCI
- 36.43
- Type
- book
- Language
- en
- Open access
- closed
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- Strogatz, S. H. (2018). Nonlinear Dynamics and Chaos. CRC Press eBooks. https://doi.org/10.1201/9780429492563
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.