In this survey we discuss current directions of research in the dynamics of nonsmooth
systems, with emphasis on bifurcation theory. An introduction to the state-of-the-art (also for …

This book is a comprehensive collection of known results about the Lozi map, a piecewise-
affine version of the Henon map. Henon map is one of the most studied examples in …

A MINIMAL 2-D QUADRATIC MAP WITH QUASI-PERIODIC ROUTE TO CHAOS Page 1 June 10,
2008 19:33 02118 International Journal of Bifurcation and Chaos, Vol. 18, No. 5 (2008) …

A Two-dimensional Discrete Mapping with C∞ Multifold Chaotic Attractors Page 1 EJTP 5,
No. 17 (2008) 111–124 Electronic Journal of Theoretical Physics A Two-dimensional …

In this paper, a new piecewise linear map of the plan and its fractional version deduced from
the Lozi map is introduced and analysed. The main attention is paid to the study of fixed …

In this paper we introduce a new piecewise smooth mapping of the plane as a unified
discrete-time chaotic system that contains the original Hénon and Lozi systems as two …

Chaos is the idea that a system will produce very different long-term behaviors when the
initial conditions are perturbed only slightly. Chaos is used for novel, time-or energy-critical …

A new simple piecewise linear map of the plane is presented and analyzed, then a detailed
study of its dynamical behaviour is described, along with some other dynamical phenomena …

Multivariate multiscale sample entropy (MMSE) is a robust method to detect the complexity
of multivariate system. It is evaluated for a certain value of tolerance parameter r which is …

This paper investigates the discrete fractional-order logistic map and reports its fractional
order with a fixed memory length version. The dynamic of the proposed system is analyzed …