+ 1) evolution to chaos.This book gives a better understanding of periodic evolutions to chaos in the slow-fast varying Brusselator system, and the... Læs mere
This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems.
The tuned mass damper is one of the classic dynamic vibration absorbers with effective devices for energy dissipation and... Læs mere
Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global... Læs mere
This book provides students and researchers with a systematic solution for fluid-induced structural vibrations, galloping instability and the chaos of cables.... Læs mere
This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. Based on the Yin-Yang... Læs mere
It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and... Læs mere
This book examines discrete dynamical systems with memory—nonlinear systems that exist extensively in biological organisms and financial and economic organizations, and time-delay systems that can be discretized into the memorized, discrete dynamical systems.
The stability and bifurcation of periodic motions are determined by the time-delayed system of coefficients in the Fourier series and the method for nonlinear time-delay systems is equivalent to the Laplace transformation method for linear time-delay systems.
The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds.