In this paper, we investigate the problem of limit cycles for general Higgins–Selkov systems with degree $$n+1$$ . particular, first prove uniqueness a Liénard system, which allows discontinuity. Then, by changing into systems, theorems and some techniques can be applied. After, nonexistence if bifurcation parameter is outside an open interval. Finally, complete analysis showing its uniqueness.

An earlier draft of this paper was presented at theAFEE/ASSA “Panel, Policy Implications of the Great Recession” in Chicago in January, 2012 and at Trinity College in Dublin in April, 2012. I am grateful for the comments of the discussant former Brazilian finance minister Louis Carlos Bresser Pereira, members of the audience and fellow panelists Robert Wade, Nina Shapiro, Malcolm Sawyer, and Wi...

This paper focuses on the problem of constructing a reliable pitch spelling algorithm—that is, an algorithm that computes the correct pitch names (e.g., C]4, B[5 etc.) of the notes in a passage of tonal music, when given only the onset-time, MIDI note number and possibly the duration of each note. The author’s ps13 algorithm and the pitch spelling algorithms of Cambouropoulos, Temperley and Lon...

INTRODUCTION Recently much attention has been paid to different formulations of surface wave force in wave-driven ocean and coastal circulations (e.g., McWilliams et al., 2004, Mellor, 2003, Smith, 2006 and others). Basically, the analytical expressions for surface wave force and wave-current interaction can be classified into two types. One is the classical wave 'radiation stress' concept pres...

Citation: Miclau TA, Chomsky-Higgins K, Ceballos A, Balmaseda R, Morshed S, Bhandari M, de la Huerta F and Miclau T III (2017) Building Surgical Research Capacity Globally: Efficacy of a Clinical Research Course for Surgeons in Low-Resource Settings. Front. Educ. 2:57. doi: 10.3389/feduc.2017.00057 Building surgical research capacity globally: efficacy of a clinical research course for surgeons...

When presented with the option to use a new instructional technology, students often face an approach–avoidance conflict. This study explored promotion and prevention orientations, concepts linked to approach and avoidance in Higgins’s regulatory focus theory, in the choice to attend lectures or watch them online. Openness, a core disposition in the Big Five Model of personality, and positive a...

We introduce a new notion of commutator which depends on a choice of subvariety in any variety of Ω-groups. We prove that this notion encompasses Higgins’s commutator, Fröhlich’s central extensions and the Peiffer commutator of precrossed modules.

In this paper I introduce a new algorithm called ps13 that reliably computes the correct pitch names (e.g., C 4, B 5 etc.) of the notes in a passage of tonal music, when given only the onset-time and MIDI note number of each note in the passage. ps13 correctly predicts the pitch names of 99.81% of the notes in a test corpus containing 41544 notes and consisting of all the pieces in the first bo...

We report calculations of the vibrational spectrum of HD2 in its first-excited electronic state by using a coordinate-transformation technique. The implications of the geometric phase (GP) effect in the spectrum have been investigated. The results show that the lowest 45 vibrational levels calculated using the traditional Longuet-Higgins phase (φ/2, where φ is the pseudorotation angle) are in g...

BACKGROUND: Under the assumptions of longshore uniformity, monochromatic and unidirectional waves, one-dimensional (1-D) models have predicted the steady depth-integrated longshore current with reasonable accuracy in the regions of intense breaking (e.g., Bowen 1969; Longuet-Higgins 1970; Kraus and Larsen 1991). The addition of random wave fields with directional spread (Battjes 1974; Thornton ...