This paper analytically and numerically investigates the dynamical characteristics of a
fractional Duffing–van der Pol oscillator with two periodic excitations and the distributed time …

At present, most of the encryption algorithms based on chaotic systems use dissipative
chaotic systems. However, the dissipative chaotic systems have attractors and are easy to …

For the first time, as we know, the generalization of combination synchronization (GCS) of
chaotic dynamical models with integer, fractional and distributed-orders is studied in this …

The main aim of present work is to investigate the dynamics of the chaotic nonlinear
distributed order Lü model (DOLM). The distributed order (DO) derivative is used for …

In this paper, we introduce a new type of synchronization for the fractional order (FO)
hyperchaotic models with different orders called compound-combination synchronization …

The concept of fractional-order control (F-oC) is exploited in this paper to synchronize
fractional-order dynamical systems. The addressed systems in this paper reflect the real …

This paper introduces the complex Rayleigh–van-der-Pol–Duffing oscillators (RVDOs),
which are hyperchaotic and can be autonomous or nonautonomous. The fundamental …

This article discusses, for the first time as we know, the basic dynamics of commensurate
and noncommensurate fractional‐order simplified Lorenz models, such as invariance …

This article proposes an adaptive synchronization (AS) algorithm to synchronize a general
class of fractional-order complex-valued systems with completely unknown parameters …

We present in this paper four versions of chaotic and hyperchaotic modified nonlinear
Schrödinger equations (MNSEs). These versions are hyperchaotic integer order …