Nonlinear Physical Science
Volume 0 / 2010
Page
%P
26 Result(s)
-
Book Series
-
Chapter
Single-Variable Quadratic Systems with a Self-Univariate Quadratic Vector Field
In this chapter, two-dimensional single-variable quadratic systems with a self-univariate quadratic vector field are discussed, and the appearing and switching bifurcations for the 1-dimensional flows (e.g., s...
-
Chapter
Variable-Independent Quadratic Dynamics
In this chapter, nonlinear dynamics of dynamical systems possessing two variable-independent univariate vector fields is discussed. The dynamical systems with a constant vector field and a variable-independent...
-
Book
-
Chapter
Two-Univariate Product Quadratic Systems
In this chapter, nonlinear dynamics of dynamical systems possessing bivariate quadratic vector fields is discussed as in Luo (Journal of Vibration Testing and System Dynamics in 2023). The bivariate quadratic vec...
-
Chapter
Product-Bivariate Quadratic Systems with a Non-Self-Univariate Quadratic Vector Field
In this chapter, nonlinear dynamics of dynamical systems possessing a bivariate product quadratic vector field and a non-self-univariate quadratic vector field is discussed as in Luo (J Vib Test Syst Dyn, 2023). ...
-
Chapter
Two-Dimensional Linear Dynamical Systems
In this Chapter, two-dimensional dynamical systems with constant and linear vector fields are discussed. Dynamical systems with one-variable vector fields are presented and the singular dynamics of two-dimensi...
-
Chapter
Single-Variable Quadratic Systems with a Non-Self-Univariate Quadratic Vector Field
In this chapter, two-dimensional, single-variable quadratic systems with a non-self-univariate quadratic vector fields are discussed, and the appearing and switching bifurcations for the 1-dimensional flows (e...
-
Chapter
Variable-Crossing Univariate Quadratic Systems
In this chapter, nonlinear dynamics of dynamical systems with two variable-crossing univariate vector fields is discussed. The dynamical systems with a constant vector field and a variable-crossing univariate ...
-
Chapter
Product-Bivariate Quadratic Systems with a Self-Univariate Quadratic Vector Field
In this chapter, nonlinear dynamics of dynamical systems possessing a bivariate product vector field and a self-univariate quadratic vector field is discussed as in Luo (J Vib Test Syst Dyn, 2023). The stability ...
-
Chapter
Correction to: Two-Dimensional Quadratic Nonlinear Systems
This book was inadvertently published with few errors. This has now been amended in respective chapters.
-
Chapter
Linear-Bivariate Quadratic Dynamics
In this chapter, nonlinear dynamics of dynamical systems possessing linear-bivariate quadratic vector fields will be discussed. The dynamical systems with a constant vector field with a linear-bivariate quadra...
-
Chapter
Nonlinear-Bivariate Quadratic Systems
In this chapter, nonlinear dynamics of dynamical systems possessing nonlinear-bivariate quadratic vector fields will be discussed. The dynamical systems with two linear bivariate product vector fields will be ...
-
Chapter
Single-Linear-Bivariate Quadratic Systems
In this chapter, two-dimensional nonlinear systems possessing single-linear-bivariate quadratic vector fields are discussed, and the appearing and switching bifurcations for the 1-dimensional flows (e.g., up-p...
-
Chapter
Linear-Bivariate Product Quadratic Systems
In this chapter, nonlinear dynamics of dynamical systems possessing linear-bivariate product quadratic vector fields will be discussed. The dynamical systems with two linear-bivariate quadratic vector fields w...
-
Book
-
Chapter
Two-Dimensional Linear-Bivariate Linear Systems
In this chapter, two-dimensional linear-bivariate linear systems are discussed. The single-linear-bivariate linear systems will be discussed first, and the switching bifurcations for the 1-dimensional flows (e...
-
Book
-
Chapter
Stability of Equilibriums
In this chapter, basic concepts of nonlinear dynamical systems are introduced. A local theory of equilibrium stability for nonlinear dynamical systems is discussed. The spiral stability of equilibriums in nonl...
-
Chapter
Low-Dimensional Dynamical Systems
In this chapter, low-dimensional nonlinear dynamical systems are discussed. The stability and bifurcations of the 1-dimensional systems are presented. The higher order singularity and stability for 1-dimension...
