Identification of nonlinear finite element model through discrete-time Volterra series

Approximation of Nonlinear Dynamical Systems via Parametric Rational Interpolation Methods

MATHEMATICAL ANALYSIS AND NUMERICAL SIMULATION OF A NONLINEAR BLOCH-TYPE MODEL

In this work, we study the mathematical properties of a Bloch-type model, such as energy dissipation and exponential decay, incorporating nonlinear effects including Coulomb interaction. We show that the model is globally well-posed. Furthermore, the existence of an equilibrium state is established in the case of a red...

Comparative Study of Constant- and Variable-Order Fractional Dynamics with RBFNN Approximation

The analysis of the complexity of dynamical systems generally presents a major dilemma between including the complexity of memory effects and being computationally efficient. For this purpose, this study proposes an unusual three-dimensional variable-order fractional chaotic system with absolute-value nonlinearity, whi...

FUNCTIONS AND

On the numerical solution of some class of mathematical models by the Haar wavelet technique in Caputo operator

Abstract Mathematics is the basis for various subjects in the fields of engineering, physics, commerce, and so on. Many real-life problems in engineering, physics, biology, and e-commerce are modeled with the help of mathematical equations that lead to real-life applications. Here, some real-life problems in the field...

Review of the research on the qualitative theory of differential equations at St. Petersburg University. III. Systems with hysteresis nonlinearities. Aizerman’s problem for discrete-time systems

This paper is the third one in a series of publications devoted to an overview of the scientific research results achieved by the employees of the Department of Differential Equations at St. Petersburg University over the past three decades. The paper is focused on the results achieved by studying systems with hysteret...