The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

The so called archetypal smooth and discontinuous (SD) oscillator with irrational
nonlinearity is a simple mass-spring system constrained to a straight line by a geometrical …

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 …

In nonlinear dynamics, basins of attraction link a given set of initial conditions to its
corresponding final states. This notion appears in a broad range of applications where …

This essay is presented with two principal objectives in mind: first, to document the
prevalence of fractals at all levels of the nervous system, giving credence to the notion of …

Treelike structures abound in natural as well as man-made transport systems, which have
fascinated multidisciplinary researchers to study the transport phenomena and properties …

Transport properties of particles and waves in spatially periodic structures that are driven by
external time-dependent forces manifestly depend on the space–time symmetries of the …

In this paper, the complicated nonlinear dynamics of the harmonically forced quasi-zero-
stiffness SD (smooth and discontinuous) oscillator is investigated via direct numerical …

There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

Most books on fractals focus on deterministic fractals as the impact of incorporating
randomness and time is almost absent. Further, most review fractals without explaining what …