Results 111 to 120 of about 1,245,923 (288)

Real‐Time Observation of Soliton Buildup and Self‐Organization in a GHz Harmonic Mode Locked Fiber Laser

Laser &Photonics Reviews, EarlyView.
This image is an experimental recording of the buildup of harmonic mode‐locking in a fiber laser. The horizontal dimension corresponds to one cavity round trip, where the laser field intensity is displayed in a color scale. The vertical dimension is the evolution time in logarithmic scale, spanning from microseconds to seconds.
Qianqian Huang, Aurélien Coillet, Lilong Dai, Zinan Huang, Haochen Tian, Chengbo Mou, Philippe Grelu   +6 more
wiley   +1 more source

Enhancing strategic decision-making in differential games through bifurcation prediction

Scientific Reports
Qualitative changes can occur in the dynamics of nonlinear systems even for small parameter variations. Such changes are manifestations of bifurcation in dynamical systems.
Jesús García Pérez, Bogdan Epureanu
doaj   +1 more source

Structural properties of the nested period incrementing bifurcation scenario

, 2011
The importance of piecewise-smooth and especially that of discontinuous system models is well-established. One of the properties of these systems is the possibility of border collision bifurcations, which can form complex bifurcation scenarios. In this thesis, the description of the recently discovered nested period incrementing bifurcation scenario is
openaire   +2 more sources

Reversible Saddle-Node Separatrix-Loop Bifurcation

We describe the unfolding of a special variant of the codimension-two Saddle-Node Separatrix-Loop (SNSL) bifurcation that occurs in systems with time-reversibility.
Yanchuk, Serhiy, Burylko, Oleksandr, Wolfrum, Matthias   +2 more
core   +1 more source

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang   +3 more
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Bistability and boundary crisis in a semiconductor laser with phase-conjugate feedback [PDF]

, 2002
We present a detailed study of a route to chaos via quasiperiodicity on a torus in a semiconductor laser with phase-conjugate feedback. Highlighting the use of new tools that go far beyond mere simulation, we compute bifurcation diagrams and unstable ...
Green, K, Engelborghs, Koen, Krauskopf, B   +2 more
core  

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

Universal bifurcation scenarios in delay-differential equations with one delay

, 2023
We show that delay-differential equations (DDE) exhibit universal bifurcation scenarios, which are observed in large classes of DDEs with a single delay. Each such universality class has the same sequence of stabilizing or destabilizing Hopf bifurcations.
Cao, Jinde, Wang, Yu, Kurths, Jürgen, Yanchuk, Serhiy   +3 more
core  

Computational Analysis of the Vibrational Response of Lunar Regolith Made of Nonspherical Grains

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Vibration‐based systems have shown that appropriately oriented and tuned mechanical oscillations can disrupt regolith interlocking and promote flow. Building on this evidence, the present study investigates vibration‐controlled granular discharge as a potential ISRU (In Situ Resource Utilization) strategy, with the aim of supporting ...
Lewis Traquair, Peter Watson, Ali Anwar, Sebastien Vincent Bonnieu, Marcello Lappa   +4 more
wiley   +1 more source