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+ 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
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This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems.
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The tuned mass damper is one of the classic dynamic vibration absorbers with effective devices for energy dissipation and... Læs mere
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Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global... Læs mere
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This book provides students and researchers with a systematic solution for fluid-induced structural vibrations, galloping instability and the chaos of cables.... Læs mere
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This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. Based on the Yin-Yang... Læs mere
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It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and... Læs mere
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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.
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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.
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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.