The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

The optimization of truss structures is a complex computing problem with many local minima,
while metaheuristics are naturally suited to deal with multimodal problems without the need …

In this paper, two issues are addressed:(1) the applicability of the delay-coordinate
embedding method to transient chaotic time series analysis, and (2) the Hilbert transform …

We present an analysis of the properties as well as the diverse applications and extensions
of the method of stabilisation transformation. This method was originally invented to detect …

Nowadays, a variety of controllers used in process industries are still of the proportional–
integral–derivative (PID) types. PID controllers have the advantage of simple structure, good …

Measurable dynamics has traditionally referred to ergodic theory, which is in some sense a
sister topic to dynamical systems and chaos theory. However, the topic has until recently …

Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

In this paper a new nonlinear discrete chaotic Umbrella map is introduced. Chaotic behavior
of the Umbrella map is investigated using the bifurcation diagrams, Lyapunov exponents …

The dynamics of the Caputo-fractional variable-order difference form of the Tinkerbell map
are studied. The phase portraits, bifurcation, and largest Lyapunov exponent (LLE) were …

This paper is concerned with a fractional Caputo-difference form of the well-known
Tinkerbell chaotic map. The dynamics of the proposed map are investigated numerically …