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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.
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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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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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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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This book is a monograph about limit cycles and homoclinic networks in polynomial systems. Such studies are to achieve global... Læs mere
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The singular source, sink and saddle flows are the appearing and switching bifurcations for simple sink and source flow arrays and for lower-order singular source, sink and saddle flow arrays.
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This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field.
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In such cubic systems, the appearing bifurcations are: double-inflection saddles, inflection-source (sink) flows, parabola-saddles (saddle-center), third-order parabola-saddles, third-order saddles (centers), third-order saddle-source (sink).
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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.