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 …

A fractional atmospheric circulation system under the influence of a sliding mode controller

RN Premakumari, C Baishya, P Veeresha, L Akinyemi - Symmetry, 2022 - mdpi.com
The earth's surface is heated by the large-scale movement of air known as atmospheric
circulation, which works in conjunction with ocean circulation. More than 10 5 variables are …

[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 …

Effects of global warming, time delay and chaos control on the dynamics of a chaotic atmospheric propagation model within the frame of Caputo fractional operator

A Chakraborty, P Veeresha - Communications in Nonlinear Science and …, 2024 - Elsevier
The Lorenz-84 climate model is a simplified mathematical model that describes the chaotic
behavior of atmospheric convection and its impact on global climate patterns. It captures the …

[图书][B] Applied nonautonomous and random dynamical systems: applied dynamical systems

T Caraballo, X Han - 2017 - books.google.com
This book offers an introduction to the theory of non-autonomous and stochastic dynamical
systems, with a focus on the importance of the theory in the Applied Sciences. It starts by …

Baroclinic flow and the Lorenz-84 model

L van Veen - International journal of Bifurcation and Chaos, 2003 - World Scientific
The bifurcation diagram of a truncation to six degrees of freedom of the equations for quasi-
geostrophic, baroclinic flow is investigated. Period-doubling cascades and Shil'nikov …

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 …

[HTML][HTML] Limits to predictability of the asymptotic state of the Atlantic Meridional Overturning Circulation in a conceptual climate model

O Mehling, R Börner, V Lucarini - Physica D: Nonlinear Phenomena, 2024 - Elsevier
Anticipating critical transitions in the Earth system is of great societal relevance, yet there
may be intrinsic limitations to their predictability. For instance, the asymptotic state of a …

Stabilization and complex dynamics initiated by pulsed force in the Rössler system near saddle-node bifurcation

N Stankevich - Nonlinear Dynamics, 2024 - Springer
Stabilization by a periodic pulsed force of trajectories running away to infinity in the three-
dimensional Rössler system at a threshold of a saddle-node bifurcation, birth of equilibrium …

Coupled systems with quasi-periodic and chaotic dynamics

AP Kuznetsov, YV Sedova, NV Stankevich - Chaos, Solitons & Fractals, 2023 - Elsevier
The interaction of a system with quasi-periodic autonomous dynamics and a chaotic Rössler
system is studied. We have shown that with the growth of the coupling, regimes of two …