The analysis of some special solutions of Mackey–Glass equation with variable delays

Lelonkiewicz_Gambi_2020_Making_oneself_predictable_in_linguistic_interactions

10.31234/osf.io/ad9xn ◽

2020 ◽

Author(s):

Jaroslaw Roman Lelonkiewicz ◽

Chiara Gambi

Keyword(s):

Temporal Variability ◽

Language Production ◽

Task Difficulty ◽

Final Word ◽

Variable Delays ◽

Post Test ◽

Do So

While language production is a highly demanding task, conversational partners are known to coordinate their turns with striking precision. Among the mechanisms that allow them to do so is listeners’ ability to predict what the speaker will say, and thus to prepare their response in advance. But do speakers also play a role in facilitating coordination? We hypothesised that speakers contribute by using coordination smoothers – in particular by making their turns easier to predict. To test this, we asked participants to type definitions for common English words, either on their own (n = 26 individuals) or interacting with a partner (n = 18 pairs), and we measured the timing with which they produced the definitions. In a post-test, additional participants (n = 55) attempted to predict the final word of these definitions and rated them for quality. We found that interacting speakers initiated their turns with less variable delays than solo individuals. In contrast, our post-test measures suggested that jointly produced definitions were in fact of lower predictability and quality than those produced by individuals, but the analysis revealed these findings were likely confounded by task difficulty. We propose that the reduction in temporal variability observed for interacting speakers may facilitate prediction and thus act as a coordination smoother in linguistic interactions. [NOTE: Please cite this paper as: Lelonkiewicz, J. R., & Gambi, C. (2020). Making oneself predictable in linguistic interactions. Acta Psychologica, 209, 103125. https://doi.org/10.1016/j.actpsy.2020.103125 ]

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Hamiltonian Aspects of Three-Layer Stratified Fluids

Journal of Nonlinear Science ◽

10.1007/s00332-021-09726-0 ◽

2021 ◽

Vol 31 (4) ◽

Author(s):

R. Camassa ◽

G. Falqui ◽

G. Ortenzi ◽

M. Pedroni ◽

T. T. Vu Ho

Keyword(s):

Hamiltonian Structure ◽

Linear Equations ◽

Hamiltonian Formalism ◽

Reduction Process ◽

Ideal Fluids ◽

Upper Lid ◽

Stratification Structure ◽

Special Solutions ◽

Dispersionless Limit ◽

Unbounded Fluid

AbstractThe theory of three-layer density-stratified ideal fluids is examined with a view toward its generalization to the n-layer case. The focus is on structural properties, especially for the case of a rigid upper lid constraint. We show that the long-wave dispersionless limit is a system of quasi-linear equations that do not admit Riemann invariants. We equip the layer-averaged one-dimensional model with a natural Hamiltonian structure, obtained with a suitable reduction process from the continuous density stratification structure of the full two-dimensional equations proposed by Benjamin. For a laterally unbounded fluid between horizontal rigid boundaries, the paradox about the non-conservation of horizontal total momentum is revisited, and it is shown that the pressure imbalances causing it can be intensified by three-layer setups with respect to their two-layer counterparts. The generator of the x-translational symmetry in the n-layer setup is also identified by the appropriate Hamiltonian formalism. The Boussinesq limit and a family of special solutions recently introduced by de Melo Viríssimo and Milewski are also discussed.

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ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME

International Journal of Modern Physics A ◽

10.1142/s0217751x98001451 ◽

1998 ◽

Vol 13 (16) ◽

pp. 2857-2874

Author(s):

IVER H. BREVIK ◽

HERNÁN OCAMPO ◽

SERGEI ODINTSOV

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Space Time ◽

Quantum Field ◽

Curved Space ◽

Njl Model ◽

Effective Lagrangian ◽

Special Solutions ◽

Curvature Approximation ◽

Symmetric Phase

We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.

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