Exactly Solvable Phase Oscillator Models with Synchronization Dynamics
نویسندگان
چکیده
منابع مشابه
Exactly Solvable Phase Oscillator Models with Synchronization Dynamics
Populations of phase oscillators interacting globally through a general coupling function fsxd have been considered. We analyze the conditions required to ensure the existence of a Lyapunov functional giving close expressions for it in terms of a generating function. We have also proposed a family of exactly solvable models with singular couplings showing that it is possible to map the synchron...
متن کاملExactly solvable chaos in an electromechanical oscillator.
A novel electromechanical chaotic oscillator is described that admits an exact analytic solution. The oscillator is a hybrid dynamical system with governing equations that include a linear second order ordinary differential equation with negative damping and a discrete switching condition that controls the oscillatory fixed point. The system produces provably chaotic oscillations with a topolog...
متن کاملExactly solvable approximating models for Rabi Hamiltonian dynamics.
The interaction between an atom and a one mode external driving field is an ubiquitous problem in many branches of physics and is often modeled using the Rabi Hamiltonian. In this paper we present a series of analytically solvable Hamiltonians that approximate the Rabi Hamiltonian and compare our results to the Jaynes-Cummings model which neglects the so-called counter-rotating term in the Rabi...
متن کاملExactly solvable models of nuclei
" If politics is the art of the possible, research is surely the art of the soluble [1] " 1. Introduction
متن کاملPhase Transitions, Critical Phenomena and Exactly Solvable Lattice Models
An overview is given of the study of phase transitions and critical phenomena in statistical mechanics with an emphasis on the general principle of universality and the role of spatial dimension and symmetry in determining critical behaviour. Although we live in three dimensions, our most complete understanding of critical behaviour is in two dimensions. This circumstance results from the remar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1998
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.81.3643