In mathematics, particularly in dynamical systems, Arnold tongues (named after Vladimir Arnold) are a pictorial phenomenon that occur when visualizing...
21 KB (3,177 words) - 02:28, 21 March 2024
Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010) was...
51 KB (5,044 words) - 12:47, 29 January 2025
Arnold, a Russian and Soviet mathematician. Arnold conjecture Arnold diffusion Arnold invariants Arnold tongue Arnold web Arnold's cat map Arnold's notation...
1 KB (119 words) - 13:55, 8 October 2023
a smaller body, as it passes by. The mode-locking regions are named Arnold tongues. In general, an orbital resonance may involve one or any combination...
97 KB (10,257 words) - 02:43, 21 November 2024
47,000 years ago, 2023-06-14 "Blue-Tongued Skink - Tiliqua". Petmd.com. Retrieved 24 May 2022. Austin, J.J. & Arnold, E.N. (2006). Using ancient and recent...
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Lyapunov exponent Orbit Periodic point Phase space Anosov diffeomorphism Arnold tongue axiom A dynamical system Bifurcation diagram Box-counting dimension...
38 KB (4,497 words) - 04:42, 11 January 2025
angles over consecutive cycles. These integer relationships are called Arnold tongues which follow from bifurcation of the circle map. One example of phase...
2 KB (255 words) - 01:49, 21 April 2022
Lahini et al. realized the Aubry–André model in photonic lattices. Arnold tongue Bose–Hubbard model Aubry, Serge, and Gilles André. "Analyticity breaking...
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affected by this. In this case the regions of synchronization, known as Arnold Tongues, can lead to highly complex phenomena as for instance chaotic dynamics...
21 KB (3,045 words) - 05:32, 30 November 2024
Bifurcation diagram of the circle map. Black regions correspond to Arnold tongues....
6 KB (594 words) - 17:52, 27 December 2024