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Phenomenon in maths
In mathematics, particularly in dynamical systems, Arnold tongues (named after Vladimir Arnold) are a pictorial phenomenon that occur when visualizing
Arnold_tongue
Russian mathematician (1937–2010)
specifies what the conditions for this are. In 1961, he introduced Arnold tongues; they are observed in a large variety of natural phenomena that involve
Vladimir_Arnold
invariants Arnold tongue Arnold web in dynamical systems theory Arnold's cat map Arnold's rouble problem Arnold's spectral sequence Arnold's stability theorems
List of things named after Vladimir Arnold
List_of_things_named_after_Vladimir_Arnold
Genus of lizards
Gill, 170, Strand, W.C. p. 120. "Blue-Tongued Skink – Tiliqua". Petmd.com. Retrieved 24 May 2022. Austin, J.J.; Arnold, E.N. (2006). "Using ancient and recent
Blue-tongued_skink
Feature of systems that defy description
Lyapunov exponent Orbit Periodic point Phase space Anosov diffeomorphism Arnold tongue axiom A dynamical system Bifurcation diagram Box-counting dimension
Complexity
Theory in physics and mathematics
Lyapunov exponent Orbit Periodic point Phase space Anosov diffeomorphism Arnold tongue axiom A dynamical system Bifurcation diagram Box-counting dimension
Conservative_system
Regular and periodic mutual gravitational influence of orbiting bodies
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
Orbital_resonance
Toy model for electronic localization
Lahini et al. realized the Aubry–André model in photonic lattices. Arnold tongue Bose–Hubbard model Aubry, Serge; André, Gilles (1980). "Analyticity
Aubry–André_model
angles over consecutive cycles. These integer relationships are called Arnold tongues which follow from bifurcation of the circle map. One example of phase
Phase_synchronization
Visualization of sudden behavior changes caused by continuous parameter changes
Bifurcation diagram of the circle map. Black regions correspond to Arnold tongues.
Bifurcation_diagram
Repetitive variation of some measure about a central value
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
Oscillation
Rivalry between two popular American actors
The rivalry between Austrian-American actor Arnold Schwarzenegger and American actor Sylvester Stallone went on for about 10 years after release of Commando
Schwarzenegger–Stallone rivalry
Schwarzenegger–Stallone_rivalry
Interaction of multiple waves in a nonlinear system
method S-matrix Orbital resonance Nonlinear resonance Tidal resonance Arnold tongue McComas, C. Henry; Bretherton, Francis P. (1977). "Resonant interaction
Resonant_interaction
American biochemist (1901–1962)
essential nutrient and nicotinic acid as the anti-black tongue (pellagra) factor: the work of Conrad Arnold Elvehjem". The Journal of Biological Chemistry. 277
Conrad_Elvehjem
Mathematical model of the time dependence of a point in space
Bifurcation diagram for a Circle map. Black regions correspond to Arnold tongues. The recursive application of a Complex quadratic polynomial as a complex
Dynamical_system
Rare disorder involving neck pain
the tongue". Surgical and Radiologic Anatomy. 27 (4): 297–302. doi:10.1007/s00276-005-0335-6. ISSN 1279-8517. PMID 16244780. S2CID 9768189. Arnold, M (2018)
Neck-tongue_syndrome
1994 action comedy film by James Cameron
American action comedy film written and directed by James Cameron. It stars Arnold Schwarzenegger as Harry Tasker, a U.S. government agent, who struggles to
True_Lies
Lamellophone instrument
is a lamellophone instrument, consisting of a flexible metal or bamboo tongue or reed attached to a frame. Despite the colloquial name, the Jew's harp
Jew's_harp
American country musician (born 1968)
Kenneth Arnold Chesney (born March 26, 1968) is an American country singer. With 30 million albums sold worldwide, he released his debut, In My Wildest
Kenny_Chesney
The guys lay down the second floor deck, using construction adhesive and tongue and groove plywood. Inside, we find Terry Maitland putting in a footing
List of This Old House episodes (seasons 11–20)
List_of_This_Old_House_episodes_(seasons_11–20)
English footballer (born 2003)
Spain. In December 2024, he appeared in Adidas' documentary film Under the Tongue. In July 2025, Bellingham was revealed as one of the cover stars for EA
Jude_Bellingham
Authority August 22, 1938 2071 2136 7960 Reservoir-Site Reserve No. 20; Tongue River, Montana August 22, 1938 2072 2137 7961 Partial Revocation of Executive
List of executive actions by Franklin D. Roosevelt
List_of_executive_actions_by_Franklin_D._Roosevelt
Genus of lizards
blue-tongued skinks (Austin & Arnold 2006). Hemisphaeriodon "Cyclodomorphus ". The Reptile Database. www.reptile-database.org. Austin, J.J. & Arnold, E
Cyclodomorphus
Estonian language organization
Mother Tongue Society (Estonian: Emakeele Selts) is an Estonian organization that focuses on topics related to the Estonian language. The organization
Mother_Tongue_Society
Indian voice artist
official Hindi voice-dubbing artist for Arnold Schwarzenegger in India. He speaks English and Hindi as his mother-tongue languages, but he majorly uses the
Pawan_Kalra
Rhode Island statesman (1615–1678)
his honor. Arnold was the only member of the colony besides Roger Williams who was highly proficient in the Narragansett and Wampanoag tongues, and he was
Benedict_Arnold_(governor)
Epic poem attributed to Homer
Ritual. Oxford University Press. ISBN 0-19-815036-9. Judith Thurman, "Mother Tongue: How Emily Wilson makes Homer modern", The New Yorker, 18 September 2023
Iliad
1990 1995 HN3271 Guy Fawkes Charles J Noke 1989 1994 HN3272 Dick Turpin G Tongue 1989 1989 HN3273 Annabel Robert Tabbenor 1989 1992 HN3274 Over the Threshold
List of Royal Doulton figurines
List_of_Royal_Doulton_figurines
Fun, Don't Die' Teaser: Gore Verbinski's First Film in Nine Years Is a Tongue-in-Cheek Sci-Fi Adventure". IndieWire. Retrieved November 12, 2025. Grobar
List of American films of 2026
List_of_American_films_of_2026
Enchantress-goddess in Greek mythology
Amantis (1380). Ulysses is depicted as deeper in sorcery and readier of tongue than Circe and through this means he leaves her pregnant with Telegonus
Circe
Indian physicist and polymath (1894–1974)
the universities of Berlin, Munich, and Paris. His work with Professor Arnold Sommerfeld in Munich from 1921 to 1922 was published in the Physikalische
Nikhil_Ranjan_Sen
Genus of plants
extremely hairy, giving the general appearance of an open mouth with a fuzzy tongue protruding and inspiring the common name of "beardtongue". Most penstemons
Penstemon
British classicist, translator and author (born 1971)
Sophocles and Euripides". In a Renaissance Quarterly review, Margaret J. Arnold writes: "The exposition challenges Aristotelian ideas of tragic structure
Emily_Wilson_(classicist)
Irish singer-songwriter (born 1973)
Dead," which received favourable reviews. They also recorded a song named "Tongue," which was later released on the Bell X1 album Music in Mouth. The song
Damien_Rice
Swiss football administrator (born 1970)
General of Switzerland, Michael Lauber, and the Valais prosecutor Rinaldo Arnold in 2016 and 2017, while Lauber's office was investigating corruption in
Gianni_Infantino
Most populous city in the United States
diverse city in the world. They are part of a remarkable trove of endangered tongues that have taken root in New York, languages born in every corner of the
New_York_City
Chinese-descended ethnic group of Southeast Asia
century. The Peranakans there are known as "Phuket Babas" in the local tongue, constitute a fair share of members Chinese community, particularly among
Peranakan_Chinese
Record label discography
Ball / Derrick Morgan: Conquering Ruler, 1968 WI 3095 – Viceroys: Lip And Tongue / Dawn Penn: When Am I Gonna Be Free, 1968 WI 3096 – Ken Parker: Down Low
Island_Records_discography
Part 3 - The Eye of the Needle 28-Apr-76 2052 Rebecca's World: Part 4 - Tongue-twisters and Bad Habits 29-Apr-76 2053 Rebecca's World: Part 5 - The Last
List_of_Jackanory_episodes
2017 translation by Emily Wilson
Keats. Classicist Gregory Hayes noted her approach echoes that of Matthew Arnold in the nineteenth century. Her primary goals were to use a traditional meter
The Odyssey (Emily Wilson translation)
The_Odyssey_(Emily_Wilson_translation)
songs "Hit Me in the Head" and "Bad Luck Hideaway" from the album Foreign Tongues, which was released on July 10, 2026, almost five years after his death
List of music released posthumously
List_of_music_released_posthumously
Season of television series
Burtt announced that Mark Ballas, Britt Stewart, Brandon Armstrong, Rylee Arnold, Ezra Sosa, Emma Slater, Valentin Chmerkovskiy, Daniella Karagach, Pasha
Dancing with the Stars (American TV series) season 34
Dancing_with_the_Stars_(American_TV_series)_season_34
6th episode of the 2nd series of Red Dwarf
that it can theoretically get Red Dwarf back to Earth in an instant. When Arnold Rimmer (Chris Barrie), Dave Lister (Craig Charles) and Cat (Danny John-Jules)
Parallel_Universe_(Red_Dwarf)
rays of light emanate from the dove of the Holy Spirit and culminate in tongues of fire over the apostles, producing innovative luminous effects. His research
Light_in_painting
Christian monastic denomination
the lyrics to Shaker tunes consist of syllables and words from unknown tongues, the musical equivalent of glossolalia. It has been surmised that many
Shakers
2005.p05-109r. ISSN 0883-1351. Peel, John S. (3 April 2022). "The oldest tongue worm: a stem-group pentastomid arthropod from the early middle Cambrian
List_of_lagerstätten
Collection of character sketches
all the schools instead of "Horne Tooke's genuine anatomy of the English tongue" makes it seem, exclaims Hazlitt, "as if there was a patent for absurdity
The_Spirit_of_the_Age
American sculptor (1954–2021)
Arnold Zimmerman: Parables of Folly, New York: Greenwich House Pottery, 2004. Metropolitan Museum of Art. "Bladder, Tongue, and Tangle," 1994, Arnold
Arnold_Zimmerman
because the radiation exposure was too high in direct contact with the tongue and oral mucosa due to the intraoral tube. Eastman Kodak filed the first
History of radiation protection
History_of_radiation_protection
of/from law passed / of/from law in force de medietate linguae of half-tongue from [a person's] language [group]; party jury; the right to a jury disproportionally
List_of_Latin_phrases_(full)
American actor (born 1963)
Harlan Jacobson (September 10, 2006). "Babies and 'Babel' loosen Brad Pitt's tongue". USA Today. Archived from the original on March 4, 2009. Retrieved December
Brad_Pitt
American sitcom (1975–1979)
Epstein was partially inspired by Epstein "The Animal", and the character Arnold Horshack was inspired by someone of the same name.[citation needed] Played
Welcome_Back,_Kotter
American-German co-production Cats' Tongues [de] Torsten C. Fischer [de] Meret Becker, Ina Weisse, Birge Schade Drama a.k.a. Cat Tongues Claras Schatz Hans-Erich
List of German films of the 2000s
List_of_German_films_of_the_2000s
1981–82 Berge Viking C. M. Toner Great Britain 1977–78 Adventure Graham Tongue Great Britain 1981–82 United Friendly John Toon New Zealand 1985–86 Drum
List of The Ocean Race sailors
List_of_The_Ocean_Race_sailors
Species of venomous snake
involves a synchronised display of a side-by-side 'flowing' movement, with the tongue flicking along the back and the tail being whipped excitedly. Pairs remain
Adder
2025 Indian film by Aditya Suhas Jambhale
tried to persuade them to leave, but the militants arrived, cut out his tongue for helping the 'kafirs', killed Dr. Kamlanand and the family's pet dog
Baramulla_(film)
Estonian linguist
of Tartu. In 1944 and from 1968 to 1982, he was the chairman of Mother Tongue Society. Since 1961 he was a member of Estonian Academy of Sciences. His
Arnold_Kask
April British government victory over the Jacobites and France. Skirmish of Tongue 25–26 March British government victory over the Jacobites, France and Spain
List_of_battles_1601–1800
American politician (born 1963)
the swim team and the Young Conservatives of Texas and was a member of a tongue-in-cheek secret organization, the NoZe Brotherhood, known for its irreverent
Rand_Paul
American actress
episode of CBS' 'CSI: Miami'". New York Daily News. Retrieved June 13, 2021. Arnold, Thomas K. (April 27, 2007). "Three Screams for these stars". USA Today
Sheri_Moon_Zombie
Alcoholic mixed drink
an alcoholic version of the Arnold Palmer (also named after an American golfer); the John Daly cocktail's name is a tongue-in-cheek reference to Daly's
John_Daly_(cocktail)
Finnic language spoken in South Estonia
(haldusüksus) järgi, 31. detsember 2021" [Population with Estonian as their mother tongue by ability to speak a dialect, age group, sex, and place of residence (administrative
South_Estonian
Descent of modern Assyrians from ancient Assyrians
kings, were the ancestors of the Syrians and that they belonged to "our tongue." Jacob also aimed to prove, according to the Greek books, that "empires
Assyrian_continuity
American actor and director (born 1957)
Busfield (born June 12, 1957) is an American actor and director. He played Arnold Poindexter in the first two Revenge of the Nerds films, Elliot Weston on
Timothy_Busfield
have to believe in God, but you should believe in the Book." (SF was his tongue- in-cheek reference to God as "the Supreme Fascist"). Barkham, Patrick (10
List of atheists in science and technology
List_of_atheists_in_science_and_technology
Country in North America
Canadians, with English and French (the official languages) being the mother tongues of approximately 54 percent and 19 percent of Canadians, respectively.
Canada
variants (such as removal/spelling out of diacritics, e.g. Arnold Schoenberg, born Arnold Schönberg, US citizen in 1941)) permanent name changes, colloquially
List of English translated personal names
List_of_English_translated_personal_names
Family of birds
My red wing gives me my name; but it is my tongue that is considered savoury by epicures. What, if my tongue had been able to sing? — Epigrammata 71, Book
Flamingo
maintenance near Tammy Court — 01999-01-011999 MD 997 0.29 0.47 Morris Tongue Drive near Millersville Jabez Run near Millersville — — Longest section
List of state highways in Maryland
List_of_state_highways_in_Maryland
English crime-writer
series set in the East End of London. She has also written the Hakim and Arnold and the Ten Bells Street series, the latter under the pen name Mary Collins
Barbara_Nadel
1997 children's picture book by Tedd Arnold
crack you up." "Stretch your legs." "Hold your tongue." "Scream your lungs out." This final book in Arnold's trilogy was published in 2004, and is again
Parts_(book)
United States historic place
1912 that the city hired local architect Ernest W. Arnold to prepare plans for a new city hall. Arnold delivered plans later that year, and in early 1913
Battle_Creek_City_Hall
Island country in Southeast Asia
and examined in English except for the "mother tongue" language paper. While the term "mother tongue" in general refers to the first language internationally
Singapore
Archipelagic country in Southeast Asia
20, 2020. Retrieved August 25, 2020. "DepEd adds 7 languages to mother tongue-based education for Kinder to Grade 3". GMA News Online. July 13, 2013.
Philippines
British comedy series
Hughes Joanna Lumley as Felicity Sanderson, Amanda's overbearing, sharp-tongued mother Philippa Dunne as Anne Flynn, Amanda's loyal friend and helper Samuel
Amandaland
Performances by American voice actor
"Characters – The Older Kids". Sheltered Shrubs – As Told By Ginger (Hey-arnold.com). Retrieved September 22, 2014. Terrace 2008, p. 322 Terrace 2008, p
Dee_Bradley_Baker_filmography
Australian soccer player (born 2006)
Retrieved 26 August 2023. "Heroic ref to the rescue as Adelaide player swallows tongue". 9News. 26 August 2023. Archived from the original on 26 August 2023. Retrieved
Nestory_Irankunda
Barge (1902) Mossycoat 1915 England/Romani Katherine M. Briggs and Ruth I. Tongue Folktales of England 510B Mr Miacca 1890 England Joseph Jacobs English Fairy
List_of_fairy_tales
American singer-songwriter (born 1949)
was finishing work on her follow-up album, Tongue and Groove. The day after mastering was completed on Tongue & Groove, the record company dropped Raitt
Bonnie_Raitt
Nigerian politician (1920–1983)
English, his heart a scorpion and his tongue a whip". She further described him as "a demagogue—ready-tongued, fanatical". Aminu was well known for his
Aminu_Kano
2024 film by Payal Kapadia
captures this diversity perfectly, though in a semi-idyllic world and in a tongue-in-cheek way." Kapadia responded to the controversy by expressing her appreciation
All_We_Imagine_as_Light
Gary M. Goodrich November 4, 1994 (1994-11-04) 456208 18.8 Carl's sharp-tongued boss, Capt. Savage (Sherman Hemsley), invites him along on a golf outing
List of Family Matters episodes
List_of_Family_Matters_episodes
2019 election of members of the European parliament for the United Kingdom
Parker 177,964 7.8 −14.6 Change UK Gavin Esler, Jacek Rostowski, Carole Tongue, Annabel Mullin, Karen Newman, Nora Mulready, Jessica Simor, Haseeb Ur-Rehman
Results of the 2019 European Parliament election in the United Kingdom
Results_of_the_2019_European_Parliament_election_in_the_United_Kingdom
Country in Southeastern Europe and West Asia
Books. 'Mother tongue' education is mostly limited to Turkish teaching in Turkey. No other language can be taught as a mother tongue other than Armenian
Turkey
Reputed paranormal area in Utah, United States
ranch was sold to Bigelow. In 1996, skeptic James Randi awarded Bigelow a tongue-in-cheek Pigasus Award for funding the purchase of the ranch and for supporting
Skinwalker_Ranch
American actor and filmmaker (born 1946)
paralysis of the lower left side of his face (including parts of his lip, tongue, and chin) which gave him his signature snarling look and slurred speech
Sylvester_Stallone
American death metal band
guitarist Cody Davidson, vocalist Devin Swank and guitarist-bassist Drew Arnold. While also being a reference to founding member Cameron Boggs' last name
Sanguisugabogg
American actress (born 1958)
she played the role of Doña Inez, the Mexican mother of Don Juan, in the tongue-in-cheek romantic comedy Don Juan DeMarco, with Johnny Depp playing the
Rachel_Ticotin
English Christmas carol from late 18th century
gifts vary in a number of the versions, some of them becoming alliterative tongue-twisters. "The Twelve Days of Christmas" was also widely popular in the
The Twelve Days of Christmas (song)
The_Twelve_Days_of_Christmas_(song)
Province of Canada
their mother tongue. In Quebec, most Indigenous languages are transmitted quite well from one generation to the next with a mother tongue retention rate
Quebec
Orwell Author of the book titled 1984 83 Most Feared Hand in Hold'em A tongue in cheek reference to it being the third worst hand in poker Raquel Welch
List of poker playing card nicknames
List_of_poker_playing_card_nicknames
Statin medication
itching difficulty breathing or swallowing swelling of the face, throat, tongue, lips, eyes, hands, feet, ankles, or lower legs hoarseness Rosuvastatin
Rosuvastatin
American theoretical physicist (1904–1967)
called it "the most beautiful philosophical song existing in any known tongue", and gave copies of it as presents to his friends and kept a personal,
J._Robert_Oppenheimer
8 December 2013. Retrieved 1 November 2013. "Haji definition". Double-Tongued Dictionary. 10 July 2004. Archived from the original on 4 July 2011. Retrieved
List_of_ethnic_slurs
member of the Estonian Academy of Sciences and chairman of the Mother Tongue Society (1982–1989). Manfred Ritschel, 80, German footballer (Kickers Offenbach
Deaths_in_June_2026
English musician and songwriter (born 1942)
the Beatles' first North American tour. McCartney will appear on Foreign Tongues, the upcoming studio album by the Rolling Stones, scheduled for release
Paul_McCartney
Awards presented in recognition of the worst in film
B. Wilson and Mo Murphy, the annual satirical ceremony was created as a tongue-in-cheek counterpart to the Academy Awards, which predates it by about five
Golden_Raspberry_Awards
Caribbean syrup used in drinks
referred to as "velvet falernum" because of the feeling it leaves on one's tongue. Brands vary. The color can be white to light amber, and it may be clear
Falernum
English rock band
formed their own record label Rolling Stones Records, for which their famous tongue and lips logo was created. Their first album on the label was Sticky Fingers
The_Rolling_Stones
battles for freedom. May God forgive me for putting on any other." — Benedict Arnold, American military officer and traitor (14 June 1801), referring to his
List of last words (19th century)
List_of_last_words_(19th_century)
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