Idan Ceausu,Yuval Dagan
Idan Ceausu
We present a new hydrodynamic analogy of nonrelativistic quantum particles in potential wells. Similarities between a real variant of the Schrödinger equation and gravity-capillary shallow water waves are reported and analyzed. We show tha...
2D PT-symmetric nonlinear couplers: Stability and power dynamics in sinusoidal system [0.03%]
二能级帕塞Vu-对称非线性耦合器：正弦系统的稳定性及功率动态学
Jaseera Chilappurath,Aysha Muhsina K
Jaseera Chilappurath
This work investigates the stability and power dynamics of a beam in a two-dimensional parity-time (PT)-symmetric cubic nonlinear sinusoidal coupled system under varying imaginary potentials. By analyzing eigenvalues, the phase angle indica...
Sergey Bolotin
Sergey Bolotin
We prove the existence of chaotic trajectories for the two body problem on a sphere. The trajectories we construct encounter near collisions and are similar to the second species solutions of Poincaré of the classical three body problem. T...
Diversity and similarity of information transfers and flows in continuous-time stochastic systems [0.03%]
连续时间随机系统中信息传递和流动的多样性和相似性
Dmitry A Smirnov
Dmitry A Smirnov
The framework of dynamical causal effects (DCEs) is applied to produce a logical sequence of a dozen of informational causality quantifiers for stochastic dynamical systems with continuous time and state. As distinct from the previously con...
E R Zajdela,D M Abrams
E R Zajdela
Coupled oscillators can serve as a testbed for larger questions of pattern formation across many areas of science and engineering. Much effort has been dedicated to the Kuramoto model and phase oscillators, but less has focused on oscillato...
Christopher R Kitching,Lucía S Ramirez,Maxi San Miguel et al.
Christopher R Kitching et al.
We study how zealotry and nonlinear social impact affect consensus formation in the nonlinear voter model, evolutionary games, and the partisan voter model. In all three models, consensus is an absorbing state in finite populations, while c...
Bernardo Sánchez-Rey,David Mellado-Alcedo,Niurka R Quintero
Bernardo Sánchez-Rey
The linear stability of two exact stationary solutions of the parametrically driven, damped nonlinear Dirac equation is investigated. Stability is ascertained through the resolution of the eigenvalue problem, which stems from the linearizat...
Lyapunov spectra and fluctuation relations: Insights from the Galerkin-truncated Burgers equation [0.03%]
Lyapunov谱与波动关系：Galerkin截断Burgers方程的见解
Arunava Das,Pinaki Dutta,Kamal L Panigrahi et al.
Arunava Das et al.
The imposition of a global constraint of the conservation of total kinetic energy on a forced-dissipative Burgers equation yields a governing equation that is invariant under the time-reversal symmetry operation, {T:t→-t;u→-u}, where u is...
High intensity and frequency modulations based on infinite pulse trains and ultrashort pulses in a modified semiconductor laser system [0.03%]
改良半导体激光器系统的高强度和频率调制基于无限脉冲列车和超短脉冲
A D Mengue,J O Nde Naoussi,A M Dikande et al.
A D Mengue et al.
We report on high intensity and frequency modulations (IM-FM) through various infinite pulse trains derived from the dynamics of a modified rate equations laser system endowed with an additional control parameter (γ), wherein a direct modu...
Optimal inter-layer connections for maximizing synchronizability in two-layer chain network [0.03%]
两层链网络中最大化同步性的最优跨层连接方式研究
Jie Hu,Yujie Peng,Xiaoqun Wu
Jie Hu
We develop a rigorous mathematical framework to determine the optimal inter-layer edge configurations that maximize synchronizability in two-layer chain networks-an area previously limited to empirical approaches. Departing from prior work ...