The dynamical complexity of optically injected semiconductor lasers

S Wieczorek, B Krauskopf, TB Simpson, D Lenstra - Physics Reports, 2005 - Elsevier
This report presents a modern approach to the theoretical and experimental study of
complex nonlinear behavior of a semiconductor laser with optical injection—an example of a …

[图书][B] Elements of applied bifurcation theory

YA Kuznetsov, IA Kuznetsov, Y Kuznetsov - 1998 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

The parameterization method for invariant manifolds

A Haro, M Canadell, JL Figueras, A Luque… - Applied mathematical …, 2016 - Springer
Poincaré's program for the global analysis of a dynamical system starts by considering
simple solutions, such as equilibria and periodic orbits, together with their corresponding …

Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits

PM Cincotta, CM Giordano, C Simó - Physica D: Nonlinear Phenomena, 2003 - Elsevier
In this paper we deal with an alternative technique to study global dynamics in Hamiltonian
systems, the mean exponential growth factor of nearby orbits (MEGNO), that proves to be …

[图书][B] Numerical bifurcation analysis of maps

IUA Kuznet︠s︡ov, YA Kuznetsov, HGE Meijer - 2019 - books.google.com
This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-
time dynamical systems with concrete instruction on implementations (and example …

[图书][B] Stability and chaos in celestial mechanics

A Celletti - 2010 - books.google.com
Page 1 STABILITY and CHAOS in CELESTIAL MECHANICS Alessandra Celletti Springer Olej iz
Ha(3) Gm PRAXIS Page 2 Stability and Chaos in Celestial Mechanics Page 3 Alessandra …

Quasihalo orbits associated with libration points

G Gómez, J Masdemont, C Simó - The Journal of the Astronautical …, 1998 - Springer
Quasihalo orbits are Lissajous trajectories librating about the well known halo orbits. The
main feature of these orbits is that they keep an exclusion zone in the same way that halo …

The period adding and incrementing bifurcations: from rotation theory to applications

A Granados, L Alsedà, M Krupa - SIAM Review, 2017 - SIAM
This survey article is concerned with the study of bifurcations of discontinuous piecewise-
smooth maps, with a special focus on the one-dimensional case. We review the literature on …

Three-dimensional Hénon-like maps and wild Lorenz-like attractors

SV Gonchenko, II Ovsyannikov, C Simó… - International Journal of …, 2005 - World Scientific
We discuss a rather new phenomenon in chaotic dynamics connected with the fact that
some three-dimensional diffeomorphisms can possess wild Lorenz-type strange attractors …

Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems

R Vitolo, H Broer, C Simó - Regular and chaotic dynamics, 2011 - Springer
This paper first summarizes the theory of quasi-periodic bifurcations for dissipative
dynamical systems. Then it presents algorithms for the computation and continuation of …