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We investigate the temporal dynamics of the Ikeda Map with Balanced Gain and Loss and in the presence of feedback loops with saturation nonlinearity. From the bifurcation analysis, we find that the temporal evolution of optical power…

信号处理 · 电气工程与系统科学 2024-06-27 Jyoti Prasad Deka , Amarendra K. Sarma

The phenomenon of PT (parity- and time-reversal) symmetry breaking is conventionally associated with a change in the complex mode spectrum of a non-Hermitian system that marks a transition from a purely oscillatory to an exponentially…

We discuss dissipative chaos showing symmetries in the phase space and nonclassical statistics for a parametrically driven nonlinear Kerr resonator (PDNR). In this system an oscillatory mode is created in the process of degenerate…

其他凝聚态物理 · 物理学 2014-07-30 T. V. Gevorgyan , G. H. Hovsepyan , A. R. Shahinyan , G. Yu. Kryuchkyan

We investigate the temporal dynamics of the PT-Symmetric nonlinear oscillators in the presence of Duffing nonlinearity for two forms of oscillator configuration. In the former, we consider two oscillator coupled to each other. One…

适应与自组织系统 · 物理学 2023-10-20 Jyoti Prasad Deka

We experimentally observe a spontaneous temporal symmetry breaking instability in a coherently-driven passive optical Kerr resonator. The cavity is synchronously pumped by time-symmetric pulses yet we report output pulses with strongly…

光学 · 物理学 2014-06-10 Yiqing Xu , Stephane Coen

We consider the relation between relaxation time and the largest Lyapunov exponent in a system of two coupled oscillators, one of them being harmonic. It has been found that in a rather broad region of parameter space, contrary to the…

混沌动力学 · 物理学 2009-11-11 P. K. Papachristou , E. Mavrommatis , V. Constantoudis , F. Diakonos , J. Wambach

Stochastic resonance (SR) manifests as switching dynamics between two quasi-stationary states in the stochastic Mackey-Glass equation. We identify chaotic SR, arising from the coexistence of resonance and chaos in stochastic dynamics. In…

混沌动力学 · 物理学 2026-01-09 Eiki Kojima , Yuzuru Sato

An upper bound on Lyapunov exponent of a thermal many body quantum system has been conjectured recently. In this work, we attempt to achieve a physical understanding of what prevents a system from violating this bound. To this end, we…

高能物理 - 理论 · 物理学 2023-11-27 Swapnamay Mondal

The phenomenon of Stochastic Resonance (SR) is observed in a completely deterministic setting - with thermal noise being replaced by one-dimensional chaos. The piecewise linear map investigated in the paper shows a transition from…

chao-dyn · 物理学 2009-10-31 Sitabhra Sinha , Bikas K. Chakrabarti

Chaotic features of systems of coupled Josephson junctions are studied. Manifestation of chaos in the temporal dependence of the electric charge, related to a parametric resonance, is demonstrated through the calculation of the maximal…

超导电性 · 物理学 2015-06-05 Yu. M. Shukrinov , M. Hamdipour , M. R. Kolahchi , A. E. Botha , M. Suzuki

The multiple time scale dynamics induced by radiation pressure and photothermal effects in a high-finesse optomechanical resonator is experimentally studied. At difference with two-dimensional slow-fast systems, the transition from the…

介观与纳米尺度物理 · 物理学 2013-05-23 Francesco Marino , Francesco Marin

Via evaluation of the Lyapunov exponent, we report the discovery of three prominent sets of phase space regimes of quasi-periodic orbits of charged particles trapped in a dipole magnetic field. Besides the low energy regime that has been…

混沌动力学 · 物理学 2021-02-03 Yuxin Xie , Siming Liu

Dynamics of coupled chaotic oscillators on a network are studied using coupled maps. Within a broad range of parameter values representing the coupling strength or the degree of elements, the system repeats formation and split of coherent…

混沌动力学 · 物理学 2016-12-21 Kenji Shinoda , Kunihiko Kaneko

Synchronized chaos has previously been predicted and observed in a small number (3) of mutually coupled lasers. In this work, we demonstrate that this phenomenon can theoretically persist in significantly broader scenarios, extending to…

光学 · 物理学 2026-05-05 Zhanning Liu , Herbert G. Winful

We study a new class of chaotic systems with dynamical localization, where gain or loss mechanisms break the Hermiticity, while allowing for parity-time (PT) symmetry. For a value \gamma_PT of the gain or loss parameter the spectrum…

无序系统与神经网络 · 物理学 2010-02-22 Carl T. West , Tsampikos Kottos , Tomaz Prosen

We show that space-time resonances induce high-frequency Raman instabilities in the two-fluid Euler-Maxwell system describing laser-plasma interactions. A consequence is that the Zakharov WKB approximation to Euler-Maxwell is unstable for…

偏微分方程分析 · 数学 2021-02-18 Eric Dumas , Yong Lu , Benjamin Texier

The double plasma resonance (DPR) instability plays a basic role in the generation of solar radio zebras. In the plasma, consisting of the loss-cone type distribution of hot electrons and much denser and colder background plasma, this…

等离子体物理 · 物理学 2018-03-28 Jan Benáček , Marian Karlický

An ensemble of pulse-coupled phase-oscillators is thoroughly analysed in the presence of a mean-field coupling and a dispersion of their natural frequencies. In spite of the analogies with the Kuramoto setup, a much richer scenario is…

混沌动力学 · 物理学 2017-11-06 Ekkehard Ullner , Antonio Politi

We study the dynamics of two symmetrically coupled populations of identical leaky integrate-and-fire neurons characterized by an excitatory coupling. Upon varying the coupling strength, we find symmetry-breaking transitions that lead to the…

无序系统与神经网络 · 物理学 2012-08-02 Simona Olmi , Antonio Politi , Alessandro Torcini

We report that conventional saturable periodic structures, in sharp contrast to the conventional systems with different nonlinearities which exhibit the typical S- shaped optical bi- and multi-stable states, reveal some unusual and unique…

光学 · 物理学 2024-08-21 S. Vignesh Raja , A. Govindarajan , M. Lakshmanan
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