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We use a coarse-grained model of superconducting vortices driven through a random pinning potential to study the nonlinear current-voltage (IV) characteristics of flux flow in type II superconductors with pinning. In experiments, the IV…

Superconductivity · Physics 2009-10-31 Kevin E. Bassler , Maya Paczuski , Ernesto Altshuler

Dynamical and statistical properties of tracer advection are studied in a family of flows produced by three point-vortices of different signs. A collapse of all three vortices to a single point is then possible. Tracer dynamics is analyzed…

Chaotic Dynamics · Physics 2007-05-23 X. Leoncini , L. Kuznetsov , G. M. Zaslavsky

We consider dislocations in a vortex lattice that is driven in a two-dimensional superconductor with random impurities. The structure and dynamics of dislocations is studied in this genuine nonequilibrium situation on the basis of a…

Statistical Mechanics · Physics 2009-10-31 Igor S. Aranson , Stefan Scheidl , Valerii M. Vinokur

The emergence of noise-induced chaos in a random logistic map with bounded noise is understood as a two-step process consisting of a topological bifurcation flagged by a zero-crossing point of the supremum of the dichotomy spectrum and a…

Chaotic Dynamics · Physics 2018-11-12 Yuzuru Sato , Thai Son Doan , Jeroen S. W. Lamb , Martin Rasmussen

The dynamic transition between the ordered flow and the plastic flow is studied for a two-dimensional driven vortex lattice, in the presence of sharp and dense pinning centers, from numerical simulations. For this system, which does not…

Superconductivity · Physics 2009-11-07 L. Fruchter

A controllable soft solid is realised in vortex matter in a type II superconductor. The two-dimensional unit cell area can be varied by a factor of $10^4$ in the solid phase, without a change of crystal symmetry offering easy exploration of…

Soft Condensed Matter · Physics 2019-04-11 Jonathan S. Watkins , Nicola K. Wilkin

For general dissipative dynamical systems we study what fraction of solutions exhibit chaotic behavior depending on the dimensionality $d$ of the phase space. We find that a system of $d$ globally coupled ODE's with quadratic and cubic…

Disordered Systems and Neural Networks · Physics 2017-02-07 Iaroslav Ispolatov , Michael Doebeli , Sebastian Allende , Vaibhav Madhok

We analyze the dynamical evolution of the current and the charge density in a superlattice for fixed external dc voltage in the regime of self-sustained current oscillations, using a microscopic sequential tunneling model. Fronts of…

Condensed Matter · Physics 2007-05-23 A. Amann , J. Schlesner , A. Wacker , E. Schöll

We study the thermal conductivity, at fixed positive temperature, of a disordered lattice of harmonic oscillators, weakly coupled to each other through anharmonic potentials. The interaction is controlled by a small parameter $\epsilon >…

Statistical Mechanics · Physics 2015-06-04 François Huveneers

Violent relaxation (VR) is often regarded as the mechanism leading stellar systems to collisionless meta equilibrium via rapid changes in the collective potential. We investigate the role of chaotic instabilities on single particle orbits…

Astrophysics of Galaxies · Physics 2025-06-04 Simone Sartorello , Pierfrancesco Di Cintio , Alessandro Alberto Trani , Mario Pasquato

We examine the statics and dynamics of vortices in the presence of a periodic quasi-one dimensional substrate, focusing on the limit where the vortex lattice constant is smaller than the substrate lattice period. As a function of the…

Superconductivity · Physics 2017-12-06 Q. Le Thien , D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

The driven state of a well-ordered flux line lattice in a single crystal of 2H-NbSe2 in the time domain has revealed the presence of substantial fluctuations in velocity, with large and distinct time periods (~ seconds). A superposition of…

Superconductivity · Physics 2015-05-14 Shyam Mohan , Jaivardhan Sinha , S. S. Banerjee , A. K. Sood , S. Ramakrishnan , A. K. Grover

As a result of resonance overlap, planetary systems can exhibit chaotic motion. Planetary chaos has been studied extensively in the Hamiltonian framework, however, the presence of chaotic motion in systems where dissipative effects are…

Earth and Planetary Astrophysics · Physics 2015-05-28 Konstantin Batygin , Alessandro Morbidelli

A collective chaotic phase with power law scaling of activity events is observed in a disordered mean field network of purely excitatory leaky integrate-and-fire neurons with short-term synaptic plasticity. The dynamical phase diagram…

Disordered Systems and Neural Networks · Physics 2017-03-20 Fabrizio Pittorino , Miguel Ibáñez-Berganza , Matteo di Volo , Alessandro Vezzani , Raffaella Burioni

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

We study experimentally and theoretically, the reorganization of superconducting vortices driven by oscillatory forces near the plastic depinning transition. We show that the system can be taken to configurations that are tagged by the…

Superconductivity · Physics 2011-08-01 D. Pérez Daroca , G. Pasquini , G. S. Lozano , V. Bekeris

Results of direct numerical simulations and laboratory experiments have been used in order to show that the buoyancy driven bubbly flows at high gas volume fraction are mixed by deterministic chaos with typical exponential spectrum of the…

Fluid Dynamics · Physics 2022-04-29 A. Bershadskii

In a one dimensional lattice thermal fluctuations destroy the long-range order making particles of the lattice move on a scale much larger than the lattice spacing. We discuss the assumption that this motion may be responsible for the…

Soft Condensed Matter · Physics 2015-05-13 A. V. Plyukhin

A fundamental issue in nonlinear dynamics and statistical physics is how to distinguish chaotic from stochastic fluctuations in short experimental recordings. This dilemma underlies many complex systems models from stochastic gene…

Chaotic Dynamics · Physics 2010-04-12 Chi-Sang Poon , Cheng Li , Guo-Qiang Wu

The dynamics on a chaotic attractor can be quite heterogeneous, being much more unstable in some regions than others. Some regions of a chaotic attractor can be expanding in more dimensions than other regions. Imagine a situation where two…

Chaotic Dynamics · Physics 2018-11-14 Yoshitaka Saiki , Miguel A. F. Sanjuan , James A. Yorke