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We study the response of a highly excited 1D gas with pointlike interactions to a periodic modulation of the coupling constant. We calculate the corresponding dynamic structure factors and show that their low-frequency behavior differs…

Quantum Gases · Physics 2011-03-24 M. Colomé-Tatché , D. S. Petrov

In this paper, we study the chaotic behavior of a discrete-time linear inclusion.

Systems and Control · Computer Science 2013-07-16 Xiongping Dai , Tingwen Huang , Yu Huang , Mingqing Xiao

We present a turbulence-sustaining mechanism in a spinor Bose-Einstein condensate, which is based on the chaotic nature of internal spin dynamics. Magnetic driving induces a complete chaotic evolution of the local spin state, thereby…

Quantum Gases · Physics 2025-02-12 Jongmin Kim , Jongheum Jung , Junghoon Lee , Deokhwa Hong , Yong-il Shin

Dual fuel engines can achieve high efficiencies and low emissions but also can encounter high cylinder-to-cylinder variations on multi-cylinder engines. In order to avoid these variations, they require a more complex method for combustion…

Systems and Control · Electrical Eng. & Systems 2019-06-14 Wenbo Sui , Jorge Pulpeiro González , Carrie M. Hall

Nonlinear dynamical systems subjected to a combination of noise and time-varying forcing can exhibit sudden changes, critical transitions or tipping points where large or rapid dynamic effects arise from changes in a parameter that are…

Chaotic Dynamics · Physics 2024-05-21 Peter Ashwin , Julian Newman , Raphael Römer

When applied to dynamical systems, both classical and quantum, time periodic modulations can produce complex non-equilibrium states which are often termed 'chaotic`. Being well understood within the unitary Hamiltonian framework, this…

Quantum Physics · Physics 2024-06-19 I. I. Yusipov , S. V. Denisov , M. V. Ivanchenko

Because fuel efficiency is significantly impacted by the timing of combustion in internal combustion engines, accurate control of combustion phasing is critical. In this paper, a nonlinear combustion phasing model is introduced and…

Systems and Control · Electrical Eng. & Systems 2019-07-23 Wenbo Sui , Carrie M. Hall

The dynamics of the tubular chemical reactor with mass recycle were examined. In such a system, temperature and concentrations may oscillate chaotically. This means that state variable values are then unpredictable. In this paper it has…

Dynamical Systems · Mathematics 2026-02-10 Marek Berezowski

After a general discussion of the thermodynamics of conductive processes, we introduce specific observables enabling the connection of the diffusive transport properties with the microscopic dynamics. We solve the case of Brownian…

Statistical Mechanics · Physics 2017-03-07 Fulvio Baldovin

Ignition capability is a critical design constraint for aeronautical gas turbines. However the current trend toward overall lean burn is detrimental to the engine ignition and relight and the ignition system must be adapted to ensure a fast…

Fluid Dynamics · Physics 2020-10-20 Lucas Esclapez , Félix Collin-Bastiani , Eleonore Riber , Bénédicte Cuenot

Highly excited many-particle states in quantum systems (nuclei, atoms, quantum dots, spin systems, quantum computers) can be ``chaotic'' superpositions of mean-field basis states (Slater determinants, products of spin or qubit states). This…

Quantum Physics · Physics 2016-09-08 V. V. Flambaum

Stochastic and coherence resonances appear in nonlinear systems subjected to an external source of noise and are characterized by a maximum response at the optimal value of the noise intensity. This paper shows experimentally that it is…

Condensed Matter · Physics 2016-08-31 O. Calvo , I. Gomes , C. R. Mirasso , R. Toral

To appear in Physical Review E. Contains some analysis of experimental (mechanical) string data.

chao-dyn · Physics 2008-02-03 Nicholas B. Tufillaro

We evoke the idea of representation of the chaotic attractor by the set of unstable periodic orbits and disclose a novel noise-induced ordering phenomenon. For long unstable periodic orbits forming the strange attractor the weights (or…

Chaotic Dynamics · Physics 2014-05-14 Denis S. Goldobin

In this paper we present a framework for investigating coloured noise in reaction-diffusion systems. We start by considering a deterministic reaction-diffusion equation and show how external forcing can cause temporally correlated or…

Quantitative Methods · Quantitative Biology 2018-12-03 Michael F Adamer , Heather A Harrington , Eamonn A Gaffney , Thomas E Woolley

This paper summarises an investigation of the effects of low amplitude noise and periodic driving on phase space transport in 3-D Hamiltonian systems, a problem directly applicable to systems like galaxies, where such perturbations reflect…

Astrophysics · Physics 2009-10-31 Henry E. Kandrup , Ilya V. Pogorelov , Ioannis Sideris

We address the problem of shock induced ignition and transition to detonation in a reactive medium in the presence of mechanically induced fluctuations by a moving oscillating piston. For the inert problem prior to ignition, we provide a…

Fluid Dynamics · Physics 2025-02-25 Wentian Wang , James McDonald , Matei Ioan Radulescu

The presence of physical systems whose characteristics change in a seemingly erratic manner gives rise to the study of chaotic systems. The characteristics of these systems are due to their hypersensitivity to changes in initial conditions.…

Chaotic Dynamics · Physics 2013-06-06 Louis Ehwerhemuepha , Godfrey E. Akpojotor

By introducing a new stochastic integral, we investigate the energetics of classical stochastic systems driven by non-Gaussian white noises. In particular, we introduce a decomposition of the total-energy difference into the work and the…

Statistical Mechanics · Physics 2012-05-23 Kiyoshi Kanazawa , Takahiro Sagawa , Hisao Hayakawa

We investigate the hopping dynamics between different attractors in a multistable system under the influence of noise. Using symbolic dynamics we find a sudden increase of dynamical entropies, when a system parameter is varied. This effect…

Chaotic Dynamics · Physics 2007-05-23 Suso Kraut , Ulrike Feudel