Chaos最新文献_第7页

Transients versus network interactions give rise to multistability through trapping mechanism.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0249997

Kalel L Rossi, Everton S Medeiros, Peter Ashwin, Ulrike Feudel

引用次数: 0

A resetting particle embedded in a viscoelastic bath. 嵌入粘弹性浴槽中的复位粒子。

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0253019

Arup Biswas, Johan L A Dubbeldam, Trifce Sandev, Arnab Pal

{"title":"A resetting particle embedded in a viscoelastic bath.","authors":"Arup Biswas, Johan L A Dubbeldam, Trifce Sandev, Arnab Pal","doi":"10.1063/5.0253019","DOIUrl":"https://doi.org/10.1063/5.0253019","url":null,"abstract":"We examine the behavior of a colloidal particle immersed in a viscoelastic bath undergoing stochastic resetting at a rate r. Microscopic probes suspended in a viscoelastic environment do not follow the classical theory of Brownian motion. This is primarily because the memory from successive collisions between the medium particles and the probes does not necessarily decay instantly as opposed to the classical Langevin equation. To treat such a system, one needs to incorporate the memory effects into the Langevin equation. The resulting equation formulated by Kubo, known as the generalized Langevin equation (GLE), has been instrumental to describing the transport of particles in inhomogeneous or viscoelastic environments. The purpose of this work, henceforth, is to study the behavior of such a colloidal particle governed by the GLE under resetting dynamics. To this end, we extend the renewal formalism to compute the general expression for the position variance and the correlation function of the resetting particle driven by the environmental memory. These generic results are then illustrated for the prototypical example of the Jeffreys viscoelastic fluid model. In particular, we identify various timescales and intermittent plateaus in the transient phase before the system relaxes to the steady state; and further discuss the effect of resetting pertaining to these behaviors. Our results are supported by numerical simulations showing an excellent agreement.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143630215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Measure synchronization transition and its critical behavior in coupled camphor rotors.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0251807

Haibo Qiu, Gangmin Yue, Huawei Fan, Xiaojun Liu, Jing Tian

引用次数: 0

Diffraction in phase space: Jumps and kinks in matter waves revealed by their dynamics.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0260470

Gregor Finkbeiner, Maxim A Efremov, Robert F O'Connell, Wolfgang P Schleich

引用次数: 0

Analytical treatment of a non-integrable pendulum based on eigenvalue problem of the Liouville operator.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0236127

Kosuke Asano, Kenichi Noba, Tomio Petrosky

{"title":"Analytical treatment of a non-integrable pendulum based on eigenvalue problem of the Liouville operator.","authors":"Kosuke Asano, Kenichi Noba, Tomio Petrosky","doi":"10.1063/5.0236127","DOIUrl":"https://doi.org/10.1063/5.0236127","url":null,"abstract":"We perform analytical and quantitative analyses of the motion of a non-integrable pendulum with two degrees of freedom, in which an integrable nonlinear pendulum and a harmonic oscillator are weakly coupled through a non-integrable perturbative interaction, based on the eigenvalue problem of the Liouvillian, which is the generator of time evolution in classical mechanics. The eigenfunctions belonging to the zero eigenvalue of the Liouvillian correspond to the invariants of the motion. The zero eigenvalue of the integrable unperturbed Liouvillian is infinitely degenerate at the resonance point. By applying a perturbation, level repulsion occurs between the eigenstates of the unperturbed system, and some of the degeneracy is lifted, resulting in a non-zero eigenvalue. In order to evaluate the frequency gap caused by the level repulsion, we introduce an auxiliary operator called the collision operator, which is well known in non-equilibrium statistical mechanics. We show that the dependence of the magnitude of a frequency gap on the coupling constant can be quantitatively evaluated by simply finding the condition for the existence of the collision operator, without directly solving the eigenvalue problem.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143603845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Spectrally informed learning of fluid flows.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0235257

Benjamin D Shaffer, Jeremy R Vorenberg, M Ani Hsieh

引用次数: 0

Taking a break: The impact of rests on Lévy walks.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0251240

Marek A Teuerle

引用次数: 0

General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0253830

Haifang Song, Bo Ren

{"title":"General rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses.","authors":"Haifang Song, Bo Ren","doi":"10.1063/5.0253830","DOIUrl":"https://doi.org/10.1063/5.0253830","url":null,"abstract":"We focus on rogue waves and modulation instability (MI) of the generalized coupled nonlinear Schrödinger (GCNLS) system in optical pulses. Through the Kadomtsev-Petviashvili hierarchy reduction method, general high-order rogue wave solutions in Gram determinant form at p=p0 are constructed, which contain derivative operators with respect to parameters p and q. We reduce solutions to purely algebraic expressions with the aid of the elementary Schur polynomials. The multiplicity of p0 determines the structures of rogue waves and generates diverse patterns. The structures of Nth-order rogue waves are composed of N(N+1)/2 fundamental ones while p0 is a simple root. Free parameters aj play an important part in the patterns of Nth-order rogue waves, large values of a3 lead to triangle structures while large values of a5 yield pentagonal shapes. When p0 is a double root, rogue waves are given by 2×2 block determinants. They are degenerate solutions with N1=0 or N2=0, and they are non-degenerate solutions under the constraint N1,N2>0. Dynamics of degenerate and non-degenerate rogue waves exhibit significant difference from the former case. MI of the GCNLS system is investigated by linear stability analysis since it is closely associated with the excitation of rogue waves. Effects of different parameters on distributions of the growth rate G for MI are considered. Numerical results suggest that amplitudes Aj and wave numbers kj(j=1,2) of the background fields control the widths and positions of MI areas. The results can help us better understand some specific physical issues, especially the propagation in optical fibers.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143572174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Unveiling the dynamics of multi-peak gap nematicons: Effects of thermal response and diffractive radiation.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0250198

Sajitha N M, Suneera T P

引用次数: 0

Mechanisms for bump state localization in two-dimensional networks of leaky integrate-and-fire neurons. 二维漏整合-发射神经元网络中凹凸状态定位的机制

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0244833

A Provata, J Hizanidis, K Anesiadis, O E Omel'chenko

{"title":"Mechanisms for bump state localization in two-dimensional networks of leaky integrate-and-fire neurons.","authors":"A Provata, J Hizanidis, K Anesiadis, O E Omel'chenko","doi":"10.1063/5.0244833","DOIUrl":"https://doi.org/10.1063/5.0244833","url":null,"abstract":"Networks of nonlocally coupled leaky integrate-and-fire neurons exhibit a variety of complex collective behaviors, such as partial synchronization, frequency or amplitude chimeras, solitary states, and bump states. In particular, the bump states consist of one or many regions of asynchronous elements within a sea of subthreshold (quiescent) elements. The asynchronous domains travel in the network in a direction predetermined by the initial conditions. In the present study, we investigate the occurrence of bump states in networks of leaky integrate-and-fire neurons in two-dimensions using nonlocal toroidal connectivity, and we explore possible mechanisms for stabilizing the moving asynchronous domains. Our findings indicate that (I) incorporating a refractory period can effectively anchor the position of these domains in the network, and (II) the switching off of some randomly preselected nodes (i.e., making them permanently idle/inactive) can likewise contribute to stabilizing the positions of the asynchronous domains. In particular, in case II for large values of the coupling strength and a large percentage of idle elements, all nodes acquire different fixed (frozen) values in the quiescent region and oscillations cease throughout the network due to self-organization. For the special case of stationary bump states, we propose an analytical approach to predict their properties. This approach is based on the self-consistency argument and is valid for infinitely large networks. Case I is of particular biomedical interest in view of the importance of refractoriness for biological neurons, while case II can be biomedically relevant when designing therapeutic methods for stabilizing moving signals in the brain.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143669287","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0