Hidden attractors in dynamical systems

D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov… - Physics Reports, 2016 - Elsevier
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

Amplitude death: The emergence of stationarity in coupled nonlinear systems

G Saxena, A Prasad, R Ramaswamy - Physics Reports, 2012 - Elsevier
When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and
the manner in which the coupling is organized, a host of novel phenomena can arise. In this …

Parametric control of thermal self-pulsation in micro-cavities

L Di Lauro, J Li, DJ Moss, R Morandotti, ST Chu… - Optics Letters, 2017 - opg.optica.org
We propose a scheme for bifurcation control in micro-cavities based on the interplay
between the ultrafast Kerr effect and a slow nonlinearity, such as thermo-optical, free …

Amplitude death in nonlinear oscillators with nonlinear coupling

A Prasad, M Dhamala, BM Adhikari… - Physical Review E …, 2010 - APS
Amplitude death is the cessation of oscillations that occurs in coupled nonlinear systems
when fixed points are stabilized as a consequence of the interaction. We show here that this …

Targeting fixed-point solutions in nonlinear oscillators through linear augmentation

PR Sharma, A Sharma, MD Shrimali, A Prasad - Physical Review E—Statistical …, 2011 - APS
We propose a general strategy to stabilize the fixed points of nonlinear oscillators with
augmented dynamics. By using this scheme, either the unstable fixed points of the …

Optical injection effects in nanolasers

ZA Sattar, NA Kamel, KA Shore - IEEE Journal of Quantum …, 2015 - ieeexplore.ieee.org
The response of nanolasers subject to optical injection has been analyzed. Calculations
have been performed using rate equations, which include the Purcell cavity-enhanced …

Dynamics and stability of mutually coupled nano-lasers

H Han, KA Shore - IEEE Journal of Quantum Electronics, 2016 - ieeexplore.ieee.org
The dynamics of mutually coupled nano-lasers has been explored theoretically.
Calculations have been performed using rate equations which include the Purcell cavity …

Analysis of high-frequency oscillations in mutually-coupled nano-lasers

H Han, KA Shore - Optics express, 2018 - opg.optica.org
The dynamics of mutually coupled nano-lasers has been analyzed using rate equations
which include the Purcell cavity-enhanced spontaneous emission factor F and the …

Stability diagrams for continuous wide-range control of two mutually delay-coupled semiconductor lasers

L Junges, JAC Gallas - New Journal of Physics, 2015 - iopscience.iop.org
The dynamics of two mutually delay-coupled semiconductor lasers has been frequently
studied experimentally, numerically, and analytically either for weak or strong detuning …

Modulated mutually coupled nano-lasers

H Han, KA Shore - IEEE Journal of Quantum Electronics, 2017 - ieeexplore.ieee.org
The dynamics of mutually coupled nano-lasers subject to direct current modulation has been
analyzed using rate equations, which include the Purcell cavity-enhanced spontaneous …