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We study numerically chaotic behavior associated with a hyperbolic strange attractor of Plykin type in the model of Hunt, an artificially constructed dynamical system with continuous time. There are presented portraits of the attractor,…

Chaotic Dynamics · Physics 2010-01-19 Yu. S. Aidarova , S. P. Kuznetsov

A new phenomenon, entrainment of chaos, which is understood as a seizure of an irregular behavior by limit cycles, is discussed. As a result, chaotic cycles appear if the chaos amplitude is small. Otherwise, the chaos is not necessarily…

Chaotic Dynamics · Physics 2012-09-11 Marat Akhmet , Mehmet Onur Fen

We propose a mechanism of inductance operation originating from a dynamical Aharonov-Casher (AC) phase of an electron in ferromagnets. By taking into account spin-orbit coupling effects, we extend the theory of emergent inductance, which…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Yuta Yamane , Shunsuke Fukami , Jun'ichi Ieda

We discover strange nonchaotic attractor (SNA) through experiments in an unforced system comprising turbulent reactive flow. While models suggest SNAs are common in dynamical systems, experimental observations are primarily limited to…

Chaotic Dynamics · Physics 2024-08-05 Beeraiah Thonti , Shruti Tandon , Premraj Durairaj , R. I. Sujith

We observe the occurrence of a strange nonchaotic attractor in a periodically driven two-dimensional map, formerly proposed as a neuron model and a sequence generator. We characterize this attractor through the study of the Lyapunov…

Statistical Mechanics · Physics 2007-05-23 Andre S. Cassol , Fabio L. S. Veiga , Marcelo H. R. Tragtenberg

Electric drive using dc shunt motor or permanent magnet dc (PMDC) motor as prime mover exhibits bifurcation and chaos. The characteristics of dc shunt and PMDC motors are linear in nature. These motors are controlled by pulse width…

Chaotic Dynamics · Physics 2014-02-25 Krishnendu Chakrabarty , Urmila Kar

We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this `cycling chaos' manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant sets…

chao-dyn · Physics 2009-10-28 Peter Ashwin , A. M. Rucklidge

We propose a magnetic analogy of the Duffing oscillator--magnetic Duffing oscillator--which is characterized by a double-well magnetic potential of a ferromagnet with a uniaxial magnetic anisotropy. Based on the linear stability analysis of…

Mesoscale and Nanoscale Physics · Physics 2025-06-04 Ryo Tatsumi , Takahiro Chiba , Takashi Komine , Hiroaki Matsueda

We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime,…

Chaotic Dynamics · Physics 2013-05-27 Colm Mulhern , Dirk Hennig , Andrew D. Burbanks

We study chaotic dynamics in a system of four differential equations describing the dynamics of five identical globally coupled phase oscillators with biharmonic coupling. We show that this system exhibits strange spiral attractors…

Chaotic Dynamics · Physics 2022-09-21 Evgeny A. Grines , Alexey O. Kazakov , Igor R. Sataev

We consider a $2$-dimensional autonomous system subject to a $1$-periodic perturbation, i.e. $$ \dot{\vec{x}}=\vec{f}(\vec{x})+\epsilon\vec{g}(t,\vec{x},\epsilon),\quad \vec{x}\in\Omega .$$ We assume that for $\epsilon=0$ there is a…

Dynamical Systems · Mathematics 2025-09-11 Alessandro Calamai , Matteo Franca , Michal Pospisil

We consider the spin-current driven dynamics of a magnetic nanostructure in a conductive magnetic wire under a heat gradient in an open circuit, spin Seebeck effect geometry. It is shown that the spin-current scattering results in a…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Chenglong Jia , Jamal Berakdar

We show that the initialization of an ensemble of electrons in the same spin state in strained n-InGaAs subject to a perpendicular magnetic field triggers an AC electric current at GHz frequencies. The AC current emerges in the absence of…

Mesoscale and Nanoscale Physics · Physics 2026-02-06 I. Stepanov , M. Ersfeld , A. V. Poshakinskiy , M. Lepsa , E. L. Ivchenko , S. A. Tarasenko , B. Beschoten

The Aharonov-Casher (AC) oscillations of spin current through a 2D ballistic ring in the presence of Rashba spin-orbit interaction and external magnetic field has been calculated using the semiclassical path integral method. For classically…

Mesoscale and Nanoscale Physics · Physics 2010-10-21 V. V. Shlyapin , A. G. Mal'shukov

The chaotic properties of Newton-Leipnik system are discussed from the view point of strange attractors. Previously, two strange attractors of this system were illustrated which occured from two different initial conditions under the same…

Chaotic Dynamics · Physics 2007-05-23 Biswambhar Rakshit , Papri Saha , A. Roy Chowdhury

Using direct numerical simulations we study dynamo action under the Taylor-Green forcing with Prandtl number less than one. We observe bistability with a weak magnetic field branch and a strong magnetic field branch. Both the dynamo…

Chaotic Dynamics · Physics 2012-03-13 Rakesh Yadav , Mahendra K. Verma , Pankaj Wahi

We consider chaotic dynamics of a system of two coupled ring resonators with a linear gain and a nonlinear absorption. Such a structure can be implemented in various settings including microresonator nanostructures, polariton condensates,…

In this paper, based on the classic Chua's circuit, a charge-controlled memristor is introduced to design a novel four-dimensional chaotic system. The complex dynamics of the novel chaotic system such as equilibrium points, stability,…

Chaotic Dynamics · Physics 2020-09-03 S. H. Yan , Z. L. Song , W. L. Shi , W. L. Zhao

A new research topic in spintronics relating to the operation principles of brain-inspired computing is input-driven magnetization dynamics in nanomagnet. In this paper, the magnetization dynamics in a vortex spin-torque oscillator (STO)…

Mesoscale and Nanoscale Physics · Physics 2023-06-26 Yusuke Imai , Kohei Nakajima , Sumito Tsunegi , Tomohiro Taniguchi

We observe chaotic dynamics in a damped linear oscillator, which is driven only at certain regions of phase space. Both deterministic and random drives are studied. The dynamics is characterized using standard techniques of nonlinear…

Chaotic Dynamics · Physics 2008-09-05 Manu. P. John , V. M. Nandakumaran