# Mathematical Dynamics and Fractals

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/mathematical-dynamics-and-fractals/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers covers a wide range of topics in dynamical systems and chaos theory, including chaos implications, ergodic theory, fractals, Lyapunov exponents, Markov chains, topological entropy, invariant measures, Teichmüller curves, and Hausdorff dimension. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | t10588 |
| Works | 12 |

## Topic papers all

- [Double image encryption based on random phase encoding in the fractional Fourier domain](https://scholariq.org/papers/double-image-encryption-based-on-random-phase-encoding-in-the-fractional-fourier/)
- [Localization of the Maximal Entropy Random Walk](https://scholariq.org/papers/localization-of-the-maximal-entropy-random-walk/)
- [2D eπ-map for image encryption](https://scholariq.org/papers/2d-e-map-for-image-encryption/)
- [Contributions to Functional Analysis](https://scholariq.org/papers/contributions-to-functional-analysis/)
- [The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations](https://scholariq.org/papers/the-creation-of-strange-non-chaotic-attractors-in-non-smooth-saddle-node/)
- [Rotation numbers for quasiperiodically forced circle maps - Mode-locking vs strict monotonicity](https://scholariq.org/papers/rotation-numbers-for-quasiperiodically-forced-circle-maps-mode-locking-vs-strict/)
- [On the structure of strange non-chaotic attractors in pinched skew products](https://scholariq.org/papers/on-the-structure-of-strange-non-chaotic-attractors-in-pinched-skew-products/)
- [The concept of bounded mean motion for toral homeomorphisms](https://scholariq.org/papers/the-concept-of-bounded-mean-motion-for-toral-homeomorphisms/)
- [Denjoy constructions for fibred homeomorphisms of the torus](https://scholariq.org/papers/denjoy-constructions-for-fibred-homeomorphisms-of-the-torus/)
- [Strange non-chaotic attractors in quasiperiodically forced circle maps](https://scholariq.org/papers/strange-non-chaotic-attractors-in-quasiperiodically-forced-circle-maps/)
- [The Denjoy type-of argument for quasiperiodically forced circle diffeomorphisms](https://scholariq.org/papers/the-denjoy-type-of-argument-for-quasiperiodically-forced-circle-diffeomorphisms/)
- [The creation of strange non-chaotic attractors in non-smooth saddle-node\n bifurcations](https://scholariq.org/papers/the-creation-of-strange-non-chaotic-attractors-in-non-smooth-saddle-node-n/)

## Topic primary papers

- [The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations](https://scholariq.org/papers/the-creation-of-strange-non-chaotic-attractors-in-non-smooth-saddle-node/)
- [On the structure of strange non-chaotic attractors in pinched skew products](https://scholariq.org/papers/on-the-structure-of-strange-non-chaotic-attractors-in-pinched-skew-products/)
- [The concept of bounded mean motion for toral homeomorphisms](https://scholariq.org/papers/the-concept-of-bounded-mean-motion-for-toral-homeomorphisms/)
- [Denjoy constructions for fibred homeomorphisms of the torus](https://scholariq.org/papers/denjoy-constructions-for-fibred-homeomorphisms-of-the-torus/)
- [Strange non-chaotic attractors in quasiperiodically forced circle maps](https://scholariq.org/papers/strange-non-chaotic-attractors-in-quasiperiodically-forced-circle-maps/)
- [The Denjoy type-of argument for quasiperiodically forced circle diffeomorphisms](https://scholariq.org/papers/the-denjoy-type-of-argument-for-quasiperiodically-forced-circle-diffeomorphisms/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.