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By a classical result of Kathleen Alligood and James Yorke we know that as we isotopically deform a map $f:ABCD\to\mathbb{R}^2$ to a Smale horseshoe map we should often expect the dynamical complexity to increase via a period--doubling…

Dynamical Systems · Mathematics 2025-04-11 Eran Igra , Valerii Sopin

The statistical properties of the phases of several modes nonlinearly coupled in a random system are investigated by means of a Hamiltonian model with disordered couplings. The regime in which the modes have a stationary distribution of…

Statistical Mechanics · Physics 2011-09-14 Claudio Conti , Luca Leuzzi

Fluid dynamical models preceded the first heavy ion accelerator experiments, and led to the main trend of this research since then. In recent years fluid dynamical processes became a dominant direction of research in high energy heavy ion…

Nuclear Theory · Physics 2015-03-13 L. P. Csernai , H. Stoecker

In a vertical channel driven by an imposed horizontal temperature gradient, numerical simulations have previously shown steady, time-periodic and chaotic dynamics. We explore the observed dynamics by constructing invariant solutions of the…

Fluid Dynamics · Physics 2024-11-27 Zheng Zheng , Laurette S. Tuckerman , Tobias M. Schneider

When a dynamical system contains several different modes of oscillations it may behave in a variety of ways: If the modes oscillate at their own individual frequencies, it exhibits quasiperiodic behavior; when the modes lock to one another…

Chaotic Dynamics · Physics 2012-01-04 Mogens H. Jensen , Leo P. Kadanoff

Over the preceeding twenty years, the role of underlying classical dynamics in quantum mechanical tunneling has received considerable attention. A number of new tunneling phenomena have been uncovered that have been directly linked to the…

Chaotic Dynamics · Physics 2009-10-31 Steven Tomsovic

The dynamics of Rydberg states of atomic hydrogen illuminated by resonant elliptically polarized microwaves is investigated both semiclassically and quantum mechanically in a simplified two-dimensional model of an atom. Semiclassical…

chao-dyn · Physics 2009-10-31 Krzysztof Sacha , Jakub Zakrzewski

Analytical expressions for scaling of brain wave spectra derived from the general nonlinear wave Hamiltonian form show excellent agreement with experimental "neuronal avalanche" data. The theory of the weakly evanescent nonlinear brain wave…

Neurons and Cognition · Quantitative Biology 2021-11-16 Vitaly L. Galinsky , Lawrence R. Frank

The atmospheres of brown dwarfs have been long observed to exhibit a multitude of non-equilibrium chemical signatures and spectral variability across the L, T and Y spectral types. We aim to investigate the link between the large-scale 3D…

Solar and Stellar Astrophysics · Physics 2023-06-14 Elspeth K. H. Lee , Xianyu Tan , Shang-Min Tsai

Recent experiments have shown that metachronal waves (MCWs) can emerge from a chain of symmetrically beating nematodes aligned at the edge of sessile droplets. Our study, employing a coupled elastohydrodynamic model of active filaments,…

Soft Condensed Matter · Physics 2024-08-28 Narina Jung , Won Kyu Kim , Changbong Hyeon

Spatiotemporal pattern formation in a product-activated enzymic reaction at high enzyme concentrations is investigated. Stochastic simulations show that catalytic turnover cycles of individual enzymes can become coherent and that complex…

Pattern Formation and Solitons · Physics 2007-07-24 Vanessa Casagrande , Yuichi Togashi , Alexander S. Mikhailov

This fluid dynamics video was submitted to the Gallery of Fluid Motion for the 2009 APS Division of Fluid Dynamics Meeting in Minneapolis, Minnesota. Drop evaporation is a simple phenomena but still unclear concerning the mechanisms of…

Fluid Dynamics · Physics 2009-10-26 D. Brutin , F. Rigollet , C. LeNiliot

Fluid dynamical description of elementary particle collisions has a long history dating back to the works of Landau and Fermi. Nevertheless, it is during the last 10-15 years when fluid dynamics has become the standard tool to describe the…

Nuclear Theory · Physics 2013-12-05 Pasi Huovinen

A walker is the association of a sub-millimetric bouncing drop moving along with a co-evolving Faraday wave. When confined in a harmonic potential, its stable trajectories are periodic and quantised both in extension and mean angular…

Fluid Dynamics · Physics 2018-11-06 S. Perrard , M. Labousse

We show that the dynamics of supercooled liquids, analyzed from computer simulations of the binary mixture Lennard-Jones system, can be described in terms of a continuous time random walk (CTRW). The required discretization comes from…

Disordered Systems and Neural Networks · Physics 2008-02-26 Oliver Rubner , Andreas Heuer

Power systems usually go through electromagnetic and electromechanical transient processes after different disturbances. Learning the characteristics and the differences between them are important but not easy for students majoring in power…

Systems and Control · Electrical Eng. & Systems 2022-02-01 Abdulelah Alharbi , Shutang You

Spin waves are collective perturbations in the orientation of the magnetic moments in magnetically ordered materials. Their rich phenomenology is intrinsically three-dimensional; however, the three-dimensional imaging of spin waves has so…

A simulation study is performed to investigate the dynamics of coupled Langmuir waves (LWs) and ion-acoustic waves (IAWs) in an unmagnetized plasma. The effects of dispersion due to charge separation and the density nonlinearity associated…

Plasma Physics · Physics 2010-04-29 S. Banerjee , A. P. Misra , P. K. Shukla , L. Rondoni

A system of two-dimensional, two coupled Faraday interfacial waves is experimentally observed at the two interfaces of the three layers of fluids (air, pure ethanol and silicon oil) in a sealed Hele-Shaw cell with periodic vertical…

Fluid Dynamics · Physics 2018-01-25 Xiaochen Li , Xiaoming Li , Shijun Liao

Motion in a one-dimensional (1D) microfluidic array is simulated. Water droplets, dragged by flowing oil, are arranged in a single row, and due to their hydrodynamic interactions spacing between these droplets oscillates with a wave-like…

Fluid Dynamics · Physics 2015-06-05 Bin Liu , J. Goree , Yan Feng
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