Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation [PDF]
Open quantum systems can display periodic dynamics at the classical level either due to external periodic modulations or to self-pulsing phenomena typically following a Hopf bifurcation.
de Valcárcel, G. J. +3 more
core +3 more sources
The family of the tangent hyperbolic function methods is one of the most powerful method to find the solutions of the nonlinear partial differential equations. In the mathematical literature, there are a great deal of tanh-methods completing each other.
Akcagil, Samil, Aydemir, Tugba
openaire +1 more source
Time-Frequency Integrals and the Stationary Phase Method in Problems of Waves Propagation from Moving Sources [PDF]
The time-frequency integrals and the two-dimensional stationary phase method are applied to study the electromagnetic waves radiated by moving modulated sources in dispersive media. We show that such unified approach leads to explicit expressions for the
Burlak, Gennadiy, Rabinovich, Vladimir
core +3 more sources
A Survey on Continuous Time Computations [PDF]
We provide an overview of theories of continuous time computation. These theories allow us to understand both the hardness of questions related to continuous time dynamical systems and the computational power of continuous time analog models.
A Ben-Hur +138 more
core +5 more sources
Unification of all hyperbolic tangent function methods
Over the last twenty years, several “different” hyperbolic tangent function methods have been proposed to search solutions for nonlinear partial differential equations (NPDEs).
Gözükızıl Ömer Faruk +2 more
doaj +1 more source
Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method [PDF]
We consider a class of boundary integral equations that arise in the study of strongly elliptic BVPs in unbounded domains of the form $D = \{(x, z)\in \mathbb{R}^{n+1} : x\in \mathbb{R}^n, z > f(x)\}$ where $f : \mathbb{R}^n \to\mathbb{R}$ is a ...
Chandler-Wilde, Simon Neil +1 more
core +1 more source
Dynamical principles in neuroscience [PDF]
Dynamical modeling of neural systems and brain functions has a history of success over the last half century. This includes, for example, the explanation and prediction of some features of neural rhythmic behaviors.
Abarbanel, H. D. I. +110 more
core +2 more sources
Limit operators, collective compactness, and the spectral theory of infinite matrices [PDF]
In the first half of this memoir we explore the interrelationships between the abstract theory of limit operators (see e.g. the recent monographs of Rabinovich, Roch and Silbermann (2004) and Lindner (2006)) and the concepts and results of the ...
Chandler-Wilde, Simon N., Lindner, Marko
core +3 more sources
First return maps of interspike intervals for biological neurons that generate repetitive bursts of impulses can display stereotyped structures (neuronal signatures).
Colli, Eduardo +3 more
core +1 more source
The Inverse Grating Problem: Efficient Design of Anomalous Flexural Wave Reflectors and Refractors
We present an extensive formulation of the inverse grating problem for exural waves, in which the energy of each diffracted mode is selected and the grating configuration is then obtained by solving a linear system of equations.
Norris, Andrew N. +2 more
core +1 more source

