The Experts below are selected from a list of 13077 Experts worldwide ranked by ideXlab platform
Jurgen Kurths - One of the best experts on this subject based on the ideXlab platform.
-
the emergence of Multistability and chaos in a two mode van der pol generator versus different connection types of linear oscillators
Chaos, 2018Co-Authors: Oleg V Astakhov, Sergey Astakhov, Natalia S Krakhovskaya, V V Astakhov, Jurgen KurthsAbstract:In this work, we study the Multistability and chaos phenomena in a classical two-mode van der Pol generator which consists of a nonlinear element and two linear oscillators. We show that the configuration of the connections of the linear oscillators in the two-mode self-oscillating system significantly affects its oscillation regimes and bifurcational transitions. In the case of the feedback loop including one oscillator, the two-mode system demonstrates the well-known effect of frequency entrainment, including bistability and hysteresis phenomena. If the feedback loop involves both linear oscillators, the entrainment effect disappears; however, two new complex regimes of quasi-periodicity and chaotic self-oscillations emerge. We present here the results of the bifurcation analysis of the Multistability formation and transition to chaos.
Gan Huang - One of the best experts on this subject based on the ideXlab platform.
-
delay dependent Multistability in recurrent neural networks
Neural Networks, 2010Co-Authors: Gan HuangAbstract:In this article, we focus on the delay-dependent Multistability in recurrent neural networks. By constructing Lyapunov functional and using matrix inequality techniques, a novel delay-dependent Multistability criterion is derived. The obtained results are more flexible and less conservative than previously known criteria. Two examples are given to show the effectiveness of the obtained criteria. Furthermore, some interesting delay-dependent dynamic behaviors have been showed in a special case, for example, we find that there is the coexistence of stable equilibria and stable limit cycles in the single neuron. Also, when the neurons are coupled, then the stable patterns are more complex.
Hamid Rahimpour Soleimani - One of the best experts on this subject based on the ideXlab platform.
-
phase control of optical bistability and Multistability via spin coherence in a quantum well waveguide
Journal of The Optical Society of America B-optical Physics, 2013Co-Authors: Seyyed Hossein Asadpour, Mohammad Jaberi, Hamid Rahimpour SoleimaniAbstract:In a GaAs quantum well waveguide coupled by orthogonally polarized optical fields, the influence of spin coherence on the optical bistability (OB) and Multistability is investigated. It is shown that OB and Multistability are very sensitive to the relative phase between applied fields.
S. A. Kovalenko - One of the best experts on this subject based on the ideXlab platform.
-
Suppression of Multistability in a Multimode VCSEL by Isotropic Optical Feedback
IEEE Journal of Quantum Electronics, 2019Co-Authors: V. N. Chizhevsky, S. A. KovalenkoAbstract:We study experimentally the behavior of a multistable vertical cavity surface-emitting laser under influence of isotropic optical feedback (OF). Without feedback, this laser displays spatial Multistability which shows up in the laser power and polarized-resolved measurements of the laser intensity. We show that OF shifts the existence boundaries of Multistability and can suppress Multistability for a strong enough strength of optical feedback transforming it into bistability. This effect is demonstrated with the help of hysteretic dependencies of the laser intensity on the injection current and by the method of vibrational resonance. The latter method allows one to reveal “hidden” states which cannot be observed in the hysteretic behavior. Besides, we study also how optical feedback changes statistical properties of polarization fluctuations. We show that a strong enough OF leads to symmetrization of the distribution function of polarization noise.
-
Experimental Evidence of Spatial Multistability in a multimode VCSEL
2018 International Conference Laser Optics (ICLO), 2018Co-Authors: V. N. Chizhevsky, S. A. KovalenkoAbstract:We demonstrate experimentally a coexistence of several spatial structures in a multimode VCSEL for fixed values of the dc current. Spatial Multistability shows up also as a hysteretic behavior depending on the injection current in both integral and local measurements of the laser intensity with and without polarization resolution. The influence of the temperature of the laser diode on the manifestation of spatial Multistability was studied. Switching between coexisting spatial structures caused by optical pulses is demonstrated.
Wei Xing Zheng - One of the best experts on this subject based on the ideXlab platform.
-
Multistability of Two Kinds of Recurrent Neural Networks With Activation Functions Symmetrical About the Origin on the Phase Plane
IEEE Transactions on Neural Networks and Learning Systems, 2013Co-Authors: Zhigang Zeng, Wei Xing ZhengAbstract:In this paper, we investigate Multistability of two kinds of recurrent neural networks with time-varying delays and activation functions symmetrical about the origin on the phase plane. One kind of activation function is with zero slope at the origin on the phase plane, while the other is with nonzero slope at the origin on the phase plane. We derive sufficient conditions under which these two kinds of n-dimensional recurrent neural networks are guaranteed to have (2m+1)n equilibrium points, with (m+1)n of them being locally exponentially stable. These new conditions improve and extend the existing Multistability results for recurrent neural networks. Finally, the validity and performance of the theoretical results are demonstrated through two numerical examples.
