nonconservative systems
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2021 ◽  
pp. 110547
Author(s):  
Kleiton A. Schneider ◽  
José M. Gallardo ◽  
Dinshaw S. Balsara ◽  
Boniface Nkonga ◽  
Carlos Parés


Science ◽  
2021 ◽  
Vol 371 (6535) ◽  
pp. 1240-1245
Author(s):  
Kai Wang ◽  
Avik Dutt ◽  
Ki Youl Yang ◽  
Casey C. Wojcik ◽  
Jelena Vučković ◽  
...  

The nontrivial topological features in the energy band of non-Hermitian systems provide promising pathways to achieve robust physical behaviors in classical or quantum open systems. A key topological feature of non-Hermitian systems is the nontrivial winding of the energy band in the complex energy plane. We provide experimental demonstrations of such nontrivial winding by implementing non-Hermitian lattice Hamiltonians along a frequency synthetic dimension formed in a ring resonator undergoing simultaneous phase and amplitude modulations, and by directly characterizing the complex band structures. Moreover, we show that the topological winding can be controlled by changing the modulation waveform. Our results allow for the synthesis and characterization of topologically nontrivial phases in nonconservative systems.



Author(s):  
Nikolay Banichuk ◽  
Alexander Barsuk ◽  
Juha Jeronen ◽  
Tero Tuovinen ◽  
Pekka Neittaanmäki


Author(s):  
O A Burtseva ◽  
N R Abuladze ◽  
S A Chipko


2018 ◽  
Vol 28 (07) ◽  
pp. 1850087 ◽  
Author(s):  
Shijian Cang ◽  
Aiguo Wu ◽  
Ruiye Zhang ◽  
Zenghui Wang ◽  
Zengqiang Chen

This paper proposes a class of nonlinear systems and presents one example system to illustrate its interesting dynamics, including quasiperiodic motion and chaos. It is found that the example system is a subsystem of a non-Hamiltonian system, which has a continuous curve of equilibria with time-reversal symmetry. In this study, the dynamical evolution of the example system with three different kinds of external excitations are fully investigated by using general chaotic analysis methods such as Poincaré sections, phase portraits, Lyapunov exponents and bifurcation diagrams. Both theoretical analysis and numerical simulations show that the example system is nonconservative but has conservative chaotic flows, which are numerically verified by the sum of its Lyapunov exponents. It is also found that the example system has time-reversal symmetry.



2018 ◽  
Vol 81 (2) ◽  
pp. 137-145
Author(s):  
W.A. Jiang ◽  
L.L. Xia


2018 ◽  
Vol 06 (08) ◽  
pp. 1637-1641
Author(s):  
Ola A. Jarab’ah ◽  
Khaled I. Nawafleh




2016 ◽  
Vol 2016 (8) ◽  
pp. 083A02
Author(s):  
A. de Souza Dutra ◽  
R. A. C. Correa ◽  
P. H. R. S. Moraes


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