The influence of noise on the correlation dimension of chaotic attractors
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Publication:1963184
DOI10.1016/S0960-0779(97)00120-3zbMath0933.37045OpenAlexW1991771523MaRDI QIDQ1963184
Ioannis Andreadis, Michalis Athanasiou, Georgios Pavlos, J. H. Argyris
Publication date: 24 January 2000
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0960-0779(97)00120-3
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10)
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Cites Work
- Optimal shadowing and noise reduction
- A scaling law: How an attractor's volume depends on noise level
- Measuring the strangeness of strange attractors
- Extracting qualitative dynamics from experimental data
- Statistical description of chaotic attractors: the dimension function
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Nonlinear and chaotic oscillations of composite plates and shells under periodic heat load
- Effects of noise on chaotic one-dimensional maps
- Numerical orbits of chaotic processes represent true orbits
- CHAOTIC ANALYSIS OF A TIME SERIES COMPOSED OF SEISMIC EVENTS RECORDED IN JAPAN
- Ergodic theory of chaos and strange attractors
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