Chaotic Dynamics: From the One-Dimensional Endomorphism to the Two-Dimensional Diffeomorphism
Abstract
The subject matter concerns the study of complex motions of dynamical systems, via the basic mathematical tool of maps (equivalent denomination recurrences; a non-invertible map being an endomorphism, an invertible and differentiable one being a diffeomorphism)
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Chaotic systems can be classified into continuous chaotic systems and discrete chaotic maps based on the way they evolve over time.
“Chaotic systems can be classified into two types based on the way they evolve over time: continuous chaotic systems and discrete chaotic maps [13].”
From Chaos-Based Image Encryption: Review, Application, and Challenges (2023) · cites this paper as [13]
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Chaos-Based Image Encryption: Review, Application, and Challenges
Zhang, B., & Liu, L. (2023) · Mathematics · doi:10.3390/math11112585 · Cited by 328 · see citing works
“Chaotic systems can be classified into two types based on the way they evolve over time: continuous chaotic systems and discrete chaotic maps [13].”
Background
- Authors
- Mira, C.
- Corresponding author
- Mira, C
- Venue
- WORLD SCIENTIFIC eBooks
- Publisher
- WORLD SCIENTIFIC
- Published
- 1987-10
- DOI
- 10.1142/0413
- OpenAlex
- W4250146611
- Cited by
- 226
- References
- 0
- Citations by year
- 2026: 3 · 2025: 8 · 2024: 13 · 2023: 6 · 2022: 6 · 2021: 3 · 2020: 8 · 2019: 23 · 2018: 1 · 2017: 8 · 2016: 7 · 2015: 8 · 2014: 5 · 2013: 4 · 2012: 10
- FWCI
- 0.99
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- WORLD SCIENTIFIC eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- chaotic dynamics, chaos, nonlinear dynamics
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