The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
In this paper we study the topological phase portraits of polynomial differential systems with a uniform isochronous center, whose nonlinear parts are homogeneous polynomials of degree 6. We obtain all the distinct topological phase portraits in the Poincaré disc. For each phase portrait, we give a precise system to realize it.
Dong, Guangfeng, Llibre, Jaume
openaire +4 more sources
Novel Approach to Inter-Onset-Interval Ratio Uncovers Music-Like Rhythmic Patterns in Budgerigar (Melopsittacus undulatus) Warble Song. [PDF]
Recent work on non‐human animal vocalizations has offered new insights into rhythmicity. In an attempt to improve upon methods commonly used in animal rhythm research, we investigated the rhythmic structure of budgerigar song. Our proposed statistical approach showed rhythmicity in human music but not language, and uncovered non‐random structured ...
van der Aa J +3 more
europepmc +2 more sources
A captive chimpanzee named Toon performed an unusual long‐lasting drumming session using different implements (e.g., limbs and tools) and techniques (e.g., drumstick‐on‐drum). He drummed faster with limbs than with tools and during the climax than the introduction of his pant‐hoot displays.
Brooks J +3 more
europepmc +2 more sources
The Emergence of a Universal Rhythmic Feature: Simple Models Can Produce Categorical Rhythms [PDF]
We investigated the rhythmic structure of temporal sequences generated by two simple models: a spiking neuron model and a model of cricket stridulation. More specifically, we quantified the presence of rhythmic categories in the output sequences of the two models. We studied the models’ rhythmic behavior when given two different kinds of temporal input
Coissac C +4 more
europepmc +2 more sources
Dual Sound Sources in Siamangs Generate Individually Rhythmic and Temporally Coordinated Vocal Emissions [PDF]
We analyzed the rhythmic structure of songs from 14 adult siamangs, a singing primate that produces units via two distinct vocal production mechanisms: oral‐tract modulation and laryngeal‐sac resonance. When considered separately, both mechanisms exhibit isochrony (1:1). In contrast, the combined output reveals additional rhythmic clusters (≈1:9, 9:1).
Laffi L +12 more
europepmc +2 more sources
Isochronous Partitions for Region-Based Self-Triggered Control
In this work, we propose a region-based self-triggered control (STC) scheme for nonlinear systems. The state space is partitioned into a finite number of regions, each of which is associated to a uniform inter-event time. The controller, at each sampling
Delimpaltadakis, Giannis +1 more
core +1 more source
Active folding of fluvial terraces across the Siwaliks Hills, Himalayas of central Nepal [PDF]
We analyze geomorphic evidence of recent crustal deformation in the sub-Himalaya of central Nepal, south of the Kathmandu Basin. The Main Frontal Thrust fault (MFT), which marks the southern edge of the sub-Himalayan fold belt, is the only active ...
Avouac, J. P., Lavé, J.
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Uplift and erosion of the San Bernardino Mountains associated with transpression along the San Andreas fault, California, as constrained by radiogenic helium thermochronometry [PDF]
Apatite helium thermochronometry provides new constraints on the tectonic history of a recently uplifted crystalline mass adjacent to the San Andreas fault.
Farley, Kenneth A. +2 more
core +1 more source
The possibility has been recently demonstrated to manufacture (nonrelativistic, Hamiltonian) many-body problems which feature an isochronous time evolution with an arbitrarily assigned period $T$ yet mimic with good approximation, or even exactly, any ...
Briscese, Fabio, Calogero, Francesco
core +1 more source
Constrained structure of ancient Chinese poetry facilitates speech content grouping
Ancient Chinese poetry is constituted by structured language that deviates from ordinary language usage [1, 2]; its poetic genres impose unique combinatory constraints on linguistic elements [3].
Blohm, S. +5 more
core +1 more source

