In this paper, the exact analytical solution of the Susceptible-Infected-Recovered (SIR)
epidemic model is obtained in a parametric form. By using the exact solution we investigate …

A 3D nonlinear chaotic system, called the T system, is analyzed in this paper. Horseshoe
chaos is investigated via the heteroclinic Shilnikov method constructing a heteroclinic …

In this paper, we show, by means of a linear scaling in time and coordinates, that the Chen
system, given by x ̇= a (y− x), y ̇=(c− a) x+ cy− xz, z ̇=− b z+ xy, is, generically (⁠ c≠ 0⁠) …

The present work is devoted to investigate the existence of heteroclinic orbits in two three-
dimensional autonomous systems, more exactly in the Lü and the T systems. The two …

In this paper, a new Lorenz-like chaotic system is reported. Nonlinear characteristic and
basic dynamic properties of the three-dimensional autonomous system are studied by …

The book provides an introduction to deterministic (and some stochastic) modeling of
spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the …

In this paper, we investigated the unstable periodic orbits of a nonlinear chaotic generalized
Lorenz-type system. By means of the variational method, appropriate symbolic dynamics are …

提出了一种具有三维自治常微分方程组形式的新的类Chen 系统, 讨论了系统的基本动力行为
以及吸引子的存在性, 运用非线性系统理论和Routh-Hurwitz 定理分别对系统平衡点的稳定性作 …

The goal of this paper is to build some approximate closed-form solutions for a class of
dynamical systems involving a Hamilton–Poisson part. The chaotic behaviors are neglected …

In this paper, we address chaos synchronization problems of a new 3D chaotic system via
three different methods. Active control and backstepping design methods are adopted when …