Results 51 to 60 of about 27,933 (207)
Exponentially small asymptotic formulas for the length spectrum in some billiard tables [PDF]
, 2015 Let $q \ge 3$ be a period. There are at least two $(1,q)$-periodic trajectories inside any smooth strictly convex billiard table, and all of them have the same length when the table is an ellipse or a circle.
Martín, Pau +2 more
core +3 more sources
An Algorithm for Melnikov Functions and Application to a Chaotic Rotor [PDF]
SIAM Journal on Scientific Computing, 2005 The paper deals with a problem often encountered in practice: how to use Melnikov's method to analyze chaotic behavior of a nonlinear system whose homoclinic (or heteroclinic) orbits cannot be obtained analytically. First, the model for a rigid shaft of rotor on a low-speed balance platform is derived.
Jian-Xin, X., Yan, R., Zhang, W.
openaire +3 more sources
Insect Science, EarlyView.We studied oviposition site selection in a leaf‐mining moth (Stigmella sorbi) on rowan trees (Sorbus aucuparia) in northwestern Russia, assessing larval performance across different shoot types, leaf positions, and leaflets. Larval survival was highest on long vegetative shoots, yet females showed no preference for these optimal sites.
Mikhail V. Kozlov, Vitali Zverev
wiley +1 more source
The Political Economy of Attention: Media Salience, Voter Cognition, and Electoral Accountability
Journal of Economic Surveys, EarlyView.ABSTRACT We review conceptual and empirical contributions to the political economy of attention, with a focus on how attention allocation shapes political behavior and electoral accountability. The review distinguishes between endogenous (goal‐directed) and exogenous (stimulus‐driven) attention and examines how these concepts are incorporated into ...
Patrick Balles +2 more
wiley +1 more source
High-Order Melnikov Method for Time-Periodic Equations
Advanced Nonlinear Studies, 2017 This paper discusses a high-order Melnikov method for periodically perturbed equations. We introduce a new method to compute Mk(t0){M_{k}(t_{0})} for all k≥0{k\geq 0}, among which M0(t0){M_{0}(t_{0})} is the traditional Melnikov function, and M1(t0 ...
Chen Fengjuan, Wang Qiudong
doaj +1 more source
Nine Limit Cycles in a 5-Degree Polynomials Liénard System
Complexity, 2020 In this article, we study the limit cycles in a generalized 5-degree Liénard system. The undamped system has a polycycle composed of a homoclinic loop and a heteroclinic loop.
Junning Cai, Minzhi Wei, Hongying Zhu
doaj +1 more source
Homoclinic Orbits In Slowly Varying Oscillators [PDF]
, 1987 We obtain existence and bifurcation theorems for homoclinic orbits in three-dimensional flows that are perturbations of families of planar Hamiltonian systems. The perturbations may or may not depend explicitly on time.
Holmes, Philip, Wiggins, Stephen
core +1 more source
The fundamental theorem of asset pricing with and without transaction costs
Mathematical Finance, Volume 35, Issue 2, Page 567-609, April 2025.Abstract We prove a version of the fundamental theorem of asset pricing (FTAP) in continuous time that is based on the strict no‐arbitrage condition and that is applicable to both frictionless markets and markets with proportional transaction costs. We consider a market with a single risky asset whose ask price process is higher than or equal to its ...
Christoph Kühn
wiley +1 more source
Mathematics, 2023 Systems composed of piecewise smooth differential (PSD) mappings have quantitatively been searched for answers to a substantial issue of limit cycle (LC) bifurcations. In this paper, LC numbers (LCNs) of a PSD system (PSDS) consisting of four regions are
Erli Zhang, Jihua Yang, Stanford Shateyi
doaj +1 more source
Digital Roots or Digital Routes? Broadband Expansion and the Rural‐Urban Migration in China
Population and Development Review, EarlyView.Abstract This study investigates how broadband internet affects rural–urban migration in China using the Universal Broadband and Telecommunication Services pilot program launched in 2015 as a quasi‐experimental setting. Analyzing China Household Finance Survey data (2013–2021) with difference‐in‐differences estimation, we find that improved internet ...
Shuang Ma, Ren Mu
wiley +1 more source