# Systems of nonlinear equations

Xem 1-20 trên 71 kết quả Systems of nonlinear equations
• ### Ebook College algebra (3rd edition): Part 2

Ebook College algebra (3rd edition): Part 1 includes the following content: Chapter 4: polynomial and rational functions; chapter 5: exponential and logarithmic functions; chapter 6: systems of linear equations and inequalities; chapter 7: matrices; chapter 8: conics and systems of nonlinear equations and inequalities; chapter 9: sequences, series, and probability. Please refer to the documentation for more details.

• ### An extension of parameter continuation method for solving perturbed systems of nonlinear equations

In this paper, we propose an extension of parameter continuation method for solving perturbed systems of nonlinear equations. The existence and uniqueness of the solution will be investigated. We also discuss error analysis of the method. The validity and applicability of the method is verified by an example.

• ### A novel approach to optimize the estimated stability region via energy function for a class of nonlinear dynamical systems in technical models

The theory of differential equations has been widely known and developed in recent years. Many researchers have drawn attention to the problem of finding the stability region of a nonlinear dynamical system in technical models, which is a complicated issue in the stability theory of dynamical systems.

• ### The dependence of an acoustomagnetoelectic field on the temperature in a cylindrical quantum wire AlGaAs/GaAs

Theoretical results for the AME field is numerically evaluated, plotted and discussed for the specific CQWIP AlGaAs/GaAs. The result shows that the dependence of the AME field on the temperature of the system is nonlinear. These results are compared with those of normal bulk semiconductors and quantum well to show the difference.

• ### Ebook Numerical Method for unconstrained optimization and nonlinear equations: Part 2

(BQ) Ebook Numerical Method for unconstrained optimization and nonlinear equations: Part 2 presents the following content: Stopping, scaling, and testing; Secant methods for systems of nonlinear equations; Secant methods for unconstrained minimization; nonlinear least squares; methods for problems with special structure; Appendix A - A modular system of algorithms for unconstrained minimization and nonlinear equations.

• ### Synthesis of adaptive sliding mode control systems for continuous mixing technologies

This paper presents a controller synthesis method for continuous mixing technology commonly encountered in industry. The kinematic model of the control object is described in the form of a system of nonlinear equations and is affected by unknown external disturbance.

• ### Lecture Introduction to Control Systems - Chapter 2: Mathematical models of continuous control systems (Dr. Huynh Thai Hoang)

Lecture Introduction to Control Systems - Chapter 2: Mathematical models of continuous control systems (Dr. Huynh Thai Hoang). The main topics covered in this chapter include: the concept of mathematical model; the concept of mathematical model; transfer function; block diagram algebra Block diagram algebra; signal flow graph; state space equation State space equation; linearized models of nonlinear systems;...

• ### An adaptive sliding mode controller for a class of MIMO Euler-Lagrange systems with variable parameters

This paper presents a method to synthesize the adaptive sliding mode controller for a class of MIMO Euler-Lagarance systems with variable parameters. We perform a Taylor series expansion of a class of MIMO Euler-Lagarance systems into nonlinear state-space equations, considering cases of varying parameters and unmeasured external disturbances.

• ### Normal impact of a rigid cone-shaped against a viscoelastic plate on viscoelastic foundation

This paper considers the problem of a low-velocity normal impact of a rigid cone-shaped upon a viscoelastic plate. The contact force is defined by the modified Hertz's contact law. Approximate solutions of the system of nonlinear integro-differential equations for the contact force and local indentation have been obtained.

• ### Robust exponential stability of uncertain switching time-delay systems with nonlinear perturbations

In this paper, a class of uncertain switching time-delay systems with nonlinear perturbations is considered. The system parameter uncertainties are time-varying and unknown with norm-bounded. The delay in the system states is also time-varying. By using an improved Lyapunov-Krasovskii functional, a state dependent switching rule for robust exponential stability is designed in terms of solution of Lyapunov-type equations and growth bound of perturbations. The approach allows for computation of the bounds that characterize the exponential stability rate of the solution.

• ### Synchronization in complete networks of ordinary differential equations of fitzhugh-nagumo type with nonlinear coupling

Synchronization is a ubiquitous feature in many natural systems and nonlinear science. This paper studies the synchronization in a complete network consisting of n nodes. Each node is connected to all other nodes by nonlinear coupling and represented by an ordinary differential system of FitzHugh-Nagumo type (FHN) which can be obtained by simplifying the famous Hodgkin-Huxley model.

• ### Summary of Doctoral Thesis in Mathematics: Stability of nonlinear time delay systems and their applications

Research aims: This thesis is concerned with the stability of some classes of nonlinear time-delay systems in neural networks. Investigating the problem of stability of non-autonomous neural networks with heterogeneous time-varying delays in the effect of destablizing impulses. Stabilizing Hopfiled neural networks with proposition delays subject to stabilizing and destablizing impulsive effects simultaneously.

• ### Existence results and iterative method for solving systems of beams equations

In this paper, we propose a method for investigating the solvability and iterative solution of coupled beams equations with fully nonlinear terms. Differently from other authors, we reduce the problem to an operator equation for the right-hand side functions. The advantage of the proposed method is that it does not require any Nagumo-type conditions for the nonlinear terms. Some examples, where exact solution of the problem are known or not, demonstrate the effectiveness of the obtained theoretical results.

• ### Identical synchronization in complete network of ordinary differential equations of fitzhugh-nagumo

Synchronization is a ubiquitous feature in many natural systems and nonlinear science. In this paper, the synchronization in complete network consisting of n nodes is studied. Each node is connected to all other nodes by linear coupling and it is represented by a system of ordinary differential equations of FitzHugh-Nagumo type which is obtained by simplifying the famous Hodgkin-Huxley model.

• ### Novel domain expansion methods to improve the computational efficiency of the Chemical Master Equation solution for large biological networks

Numerical solutions of the chemical master equation (CME) are important for understanding the stochasticity of biochemical systems. However, solving CMEs is a formidable task. This task is complicated due to the nonlinear nature of the reactions and the size of the networks which result in different realizations.

• ### Parameter estimation in models of biological oscillators: An automated regularised estimation approach

Dynamic modelling is a core element in the systems biology approach to understanding complex biosystems. Here, we consider the problem of parameter estimation in models of biological oscillators described by deterministic nonlinear differential equations.

• ### Solvability of multipoint BVPs at resonance for various kernels

In this paper, the Mawhin’s continuation theorem in the theory of coincidence degree has been used to investigate the existence of solutions for a class of nonlinear second-order differential systems of equations in ℝ

• ### Nonlinear effects of fiscal policy on national saving - Empirical evidence from emerging Asian economies

The empirical model bases on a reduced-form equation with national saving as a dependent variable, lagged value of national saving, output gap and fiscal policy as independent variables. The two-step system GMM approach was employed to estimate the empirical model, using a panel of 23 emerging Asian economies in the period of 1990-2015.

• ### The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system

In this paper, a system with controllable parameters for describing the evolution of polarization modes in nonlinear fibers is studied. Using the Horita’s method, the coupled nonlinear Schrödinger equations are transformed into the bilinear equations, and the one- and two- bright soliton solutions of system (3) are obtained. Then, the influencing factors on velocity and intensity in the process of soliton transmission are analyzed. The fusion, splitting and deformation of the solitons caused by their interactions are discussed.

• ### Global attractor for nonclassical diffusion equation with exponential nonlinearity

In this paper, we study the existence and long-time behavior of weak solutions to a nonclasscial diffusion equation with exponential nonlinearity. We prove the existence of a global attractor of the dynamical system associated to the equation.