Multistep integration methods are widespread in the simulation of high-dimensional
dynamical systems due to their low computational costs. However, the stability of these …

The simulation of population dynamics and social processes is of great interest in nonlinear
systems. Recently, many scholars have paid attention to the possible applications of …

Semi-implicit numerical integration methods are an effective trade-off between weakly stable
explicit and computationally expensive implicit ODE solvers. Variable stepsize is a proven …

The paper considers the general structure of Pseudo-random binary sequence generator
based on the numerical solution of chaotic differential equations. The proposed generator …

Composition methods are an effective way to obtain ODE solvers of high accuracy order
along with extrapolation and Runge-Kutta formulas. This paper considers theoretical layouts …

Computer simulation of stiff dynamical systems usually requires researchers and engineers
to apply implicit numerical quadrature formulae. The most efficient of stiff ODE solvers use …

Bifurcation analysis is a powerful tool for studying nonlinear problems. However, its
superiorities may short when considering acquired data sets instead of controllable chaos …

Linearly frequency-modulated harmonic (LFM, chirp) signals are widely used as active
sonars probes replacing traditional simple tonal probes. This increases sonar range and …

This paper discusses the difficulties of chaotic systems computer simulation. The new
symmetric extrapolation ODE solver is applied to the Sprott C chaotic dynamical system. It is …

The purpose of this research is to study the symplecticity and reversibility of Hamiltonian
systems simulated with adaptive step control algorithms. We consider several composition …