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).
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
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.
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 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.
The higher-order singular one-dimensional flows and singular equilibriums are for the appearing bifurcations of lower-order singular and non-singular one-dimensional flows and equilibriums.