Analysis of nonlinear autonomous systems has been a popular field of study in recent decades. As an interesting nonlinear behavior, chaotic dynamics has been intensively investigated since Lorenz discovered the first physical evidence of chaos in his famous equations. Although many chaotic systems have been ever reported in the literature, a systematic and qualitative approach for chaos generat...

We generalize a method of control of chaos which uses a delayed feedback governed by a nonlinear function. The method improves the region of the parameter space where control can be achieved, when compared with methods of delayed feedback that use a linear control function.

We show the existence of complex dynamics for a seasonally perturbed version Goodwin growth cycle model, both in its original formulation and modified formulation, encompassing nonlinear expressions real wage bargaining function investment function. The need to deal with model is connected economically sensible position orbits, which have lie unit square, contrast what occurs model’s formulatio...

A measure describing the chaos of a dynamics was introduced by two complexities in information dynamics, and it is called the chaos degree. In particular, the entropic chaos degree has been used to characterized several dynamical maps such that logistis, Baker’s, Tinckerbel’s in classical or quantum systems. In this paper, we give a new treatment of quantum chaos by defining the entropic chaos ...

The aim of this paper is to investigate the existence of Parrondo’s paradox for the logistic family fa(x) = ax(1−x), x ∈ [0, 1], when the parameter value a ranges over the interval [1, 4]. We find that a paradox of type “order + order = chaos” arises for both physically observable and topological chaos, while a “chaos + chaos = order” paradox can be only detected for the case of physically obse...

This paper studies the performance of selected chaos-based communication systems whose spectrum overlaps with that of conventional narrowband systems. Such a scenario may occur in normal practice when chaos-based systems are introduced while the conventional systems are still in operation. The particular chaos-based systems under study are the coherent chaos-shift-keying (CSK) system and the no...

sciences exist to demonstrate the fundamental order underlying nature. chaos/complexity theory is a novel and amazing field of scientific inquiry. notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (retrieved from http://www.inc...

Chaotic systems are widely used in various aspects such as information security, signal processing, and synchronous control. The structural complexity the chaotic behavior of two significant factors affecting their practical applications. In this paper, we propose a universal two-dimensional (2D) absolute-cosine model (ACCM). 2D-ACCM is composed nonlinear bounded cosine function an absolute val...

This paper proposes a stochastic finite difference approach, based onhomogenous chaos expansion (SFDHC).The said approach can handle time dependent nonlinear as well as linear systems with deterministic or stochastic initial and boundary conditions. In this approach, included stochastic parameters are modeled as second-order stochastic processes and are expanded using KarhunenLoève expansion, w...