Chaos最新文献 - Book学术

Exploring discrete rogue wave, hybrid wave, and their dynamics in a semi-discrete coherently coupled NLS equation featuring a 4 × 4 matrix spectral problem.

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0263357

Xiao-Yong Wen, Ting Zhang

{"title":"Exploring discrete rogue wave, hybrid wave, and their dynamics in a semi-discrete coherently coupled NLS equation featuring a 4 × 4 matrix spectral problem.","authors":"Xiao-Yong Wen, Ting Zhang","doi":"10.1063/5.0263357","DOIUrl":"https://doi.org/10.1063/5.0263357","url":null,"abstract":"This paper delves into a semi-discrete coherently coupled nonlinear Schrödinger equation characterized by a 4×4 matrix spectral problem. Our primary objective is to explore the modulation instability theory of this equation, elucidating its formation mechanism from its plane wave solutions. Second, we aim to demonstrate that this equation can be transformed into a new continuous equation in the context of the continuous limit. Notably, utilizing the established 4×4 matrix spectral problem, we establish a discrete generalized (m,N-m)-fold Darboux transformation, from which we theoretically derive novel rogue wave and periodic wave solutions, as well as their hybrid counterparts. In particular, we obtain discrete rogue waves featuring double peaks and double troughs on a plane wave background, as well as those that exhibit only peaks and lack troughs on a zero background, both of which incorporate arbitrarily controllable position parameters. Subsequently, we graphically analyze all these innovative structures. These findings may hold potential implications for describing the optical pulse propagation in the optical fiber.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143762451","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

Quasi-stationary distributions for the collective motions of a binary astrophysical system: A Langevin dynamics approach.

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0254612

C Michea, L Velazquez

引用次数: 0

Synaptic delays shape dynamics and function in multimodal neural motifs.

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0233640

Xinxin Qie, Jie Zang, Shenquan Liu, Andrey L Shilnikov

{"title":"Synaptic delays shape dynamics and function in multimodal neural motifs.","authors":"Xinxin Qie, Jie Zang, Shenquan Liu, Andrey L Shilnikov","doi":"10.1063/5.0233640","DOIUrl":"https://doi.org/10.1063/5.0233640","url":null,"abstract":"In neuroscience, delayed synaptic activity plays a pivotal and pervasive role in influencing synchronization, oscillation, and information-processing properties of neural networks. In small rhythm-generating networks, such as central pattern generators (CPGs), time-delays may regulate and determine the stability and variability of rhythmic activity, enabling organisms to adapt to environmental changes, and coordinate diverse locomotion patterns in both function and dysfunction. Here, we examine the dynamics of a three-cell CPG model in which time-delays are introduced into reciprocally inhibitory synapses between constituent neurons. We employ computational analysis to investigate the multiplicity and robustness of various rhythms observed in such multi-modal neural networks. Our approach involves deriving exhaustive two-dimensional Poincaré return maps for phase-lags between constituent neurons, where stable fixed points and invariant curves correspond to various phase-locked and phase-slipping/jitter rhythms. These rhythms emerge and disappear through various local (saddle-node, torus) and non-local (homoclinic) bifurcations, highlighting the multi-functionality (modality) observed in such small neural networks with fast inhibitory synapses.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143763028","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

Machine-learning potential energy surfaces implications in photodissociation process.

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0249690

Joaquin de la Cerda, Johan F Triana

{"title":"Machine-learning potential energy surfaces implications in photodissociation process.","authors":"Joaquin de la Cerda, Johan F Triana","doi":"10.1063/5.0249690","DOIUrl":"https://doi.org/10.1063/5.0249690","url":null,"abstract":"Multi-state quantum molecular dynamics is one of the most accurate methodologies for predicting rates and yields of different chemical reactions. However, the generation of potential energy surfaces (PES), transition dipoles, and non-adiabatic couplings from ab initio calculations become a challenge, especially because of the exponential growth of computational cost as the number of electrons and molecular modes increases. Thus, machine learning (ML) emerges as a novel technique to compute molecular properties using fewer resources. Yet, the validity of ML methodologies continues in constant development, particularly for high-energy regions where conventional ab initio sampling is reduced. We test the accuracy of the potential energy surfaces interpolated with machine learning (ML) techniques in the solution of the time-dependent Schrödinger equation for the conventional IR+UV bond-breaking process of semi-heavy water. We perform a statistical analysis of the differences in expectation values and dissociation probabilities, which depend on the number of ab initio points selected to generate the machine learning potential energy surface (ML-PES). The energy differences of the electronic excited state modify population transfer from the ground state by driving with a UV laser pulse. We consider as the exact solution the photodynamics implemented with analytical expressions of the electronic ground X~1A1 and excited A~1B1 states. The results of the mean bond distance and dissociation probabilities suggest that ML-PES is suitable for dynamics calculations around the Franck-Condon region, and that standard interpolation methods are more efficient for multistate dynamics that involve dissociative and repulsive energy regions of the electronic states. Our work contributes to the continued inclusion of ML tools in molecular dynamics to obtain accurate predictions of dissociation yields with fewer computational resources and non-written rules to follow in multi-state dynamics calculations.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143762456","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

Nonlinear dynamics of optical frequency comb in the whispering gallery mode microcavity with higher-order effects.

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0248158

Rui Diao, Bin Shen, Jing Liu, Chaoqing Dai, Yueyue Wang

{"title":"Nonlinear dynamics of optical frequency comb in the whispering gallery mode microcavity with higher-order effects.","authors":"Rui Diao, Bin Shen, Jing Liu, Chaoqing Dai, Yueyue Wang","doi":"10.1063/5.0248158","DOIUrl":"https://doi.org/10.1063/5.0248158","url":null,"abstract":"In this work, the optical field distribution of the optical frequency comb in the whispering gallery mode microcavity is demonstrated based on the coupled Lugiato-Lefever equation model with high-order dispersion, Raman and self-steepening effects, which effectively adjusts the phase-matching conditions of the optical field and the spectral envelope morphology inside the cavity, and inhibits the occurrence of the unstable state of the optical frequency comb. By exploring the effects of the frequency detuning and pump power on the spectral characteristics of optical frequency combs, it is found that the change in the frequency detuning and pump power affects the intensity of the optical field in the microcavity, which in turn changes the intensity distribution and spectral bandwidth of the optical frequency comb. The larger the pump power is, the larger the detuning tunable range is, and the detuning tunable range also adds with the increase in pump power. In addition, the frequency distribution of the mode in the optical frequency comb is effectively regulated and the stability is improved. The change in frequency also has a significant effect on the phase relationship between the modes and the uniformity of the frequency interval. The influence of the high-order effects on the optical frequency comb is also systematically studied. The balance between the Raman gain and the fourth-order dispersion can promote the mode locking and realize the stability of the frequency comb. The addition of the self-steepening effect causes the power in the cavity to oscillate within a certain range.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143762708","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

Non-integer tangential singular beams in the near field: Collinear phase-shifting holography for topological charge determination.

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0258239

E Peters, G Funes, E Tajahuerce

引用次数: 0

Exploring the dynamics of Lotka-Volterra systems: Efficiency, extinction order, and predictive machine learning.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0240788

Sepideh Vafaie, Deepak Bal, Michael A S Thorne, Eric Forgoston

引用次数: 0

Analysis of invariant spanning curves in oval billiards: A numerical approach based on Slater's theorem.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0250725

Joelson D V Hermes, Matheus Hansen, Sishu S Muni, Edson D Leonel, Iberê Luiz Caldas

{"title":"Analysis of invariant spanning curves in oval billiards: A numerical approach based on Slater's theorem.","authors":"Joelson D V Hermes, Matheus Hansen, Sishu S Muni, Edson D Leonel, Iberê Luiz Caldas","doi":"10.1063/5.0250725","DOIUrl":"https://doi.org/10.1063/5.0250725","url":null,"abstract":"The study of billiards investigates the trajectories of particles that move freely in a region and reflect elastically at boundaries. Although there is already considerable understanding about invariant spanning curves, also known as whispering gallery orbits in the context of billiards, their determination in the phase space of the system, in addition to the analysis of their existence is still an open question. Our proposal is to present a numerical method based on Slater's theorem, capable of determining the location of these curves in phase space, as well as finding the critical parameter at which these curves are no longer observed. In this work, we apply this method to determine the location of a set of invariant spanning curves in an oval billiard for different parameter values. Furthermore, we identified the critical parameter at which the phase space no longer presents these curves and local chaos becomes global. We compared our numerical results with analytical results present in the literature, proving the effectiveness of the proposed method. By studying the rotation number, we obtain additional information about the behavior of these curves and also of the systems.","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":"143630216","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

Tipping of thermoacoustic systems with secondary bifurcation in colored noise environments: Effects of rate.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0245575

Xiaoyu Zhang, Yong Xu, Qi Liu, Jürgen Kurths

{"title":"Tipping of thermoacoustic systems with secondary bifurcation in colored noise environments: Effects of rate.","authors":"Xiaoyu Zhang, Yong Xu, Qi Liu, Jürgen Kurths","doi":"10.1063/5.0245575","DOIUrl":"https://doi.org/10.1063/5.0245575","url":null,"abstract":"Rate-dependent tipping that concerns the effects of the rate of parameter change on the sudden transitions has been revealed in thermoacoustic systems. However, the conventional models cannot accurately portray the intermittent oscillations observed in experiments. This study explores the tipping behaviors in a thermoacoustic system with a secondary bifurcation, simultaneously accounting for the coupling effects of rate and colored noise. Particularly, the model contains higher-order nonlinearities, which lead to the emergence of both supercritical and subcritical bifurcations. It can qualitatively reproduce the intermittent dynamics of the system. We perform a transient analysis for the system via a stochastic averaging method and explore the influence mechanisms of colored noise and rate on the tipping phenomenon. The results show that the system exhibits a tipping phenomenon from the desired state to thermoacoustic instability through the state of intermittency. Interestingly, the rate causes the delay of tipping, while its increase enlarges the amplitude of intermittent oscillations. In addition, the system changes from an abrupt tipping to a smooth tipping for large noise intensities.","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":"143630230","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

Detection of atrial fibrillation from pulse waves using convolution neural networks and recurrence-based plots.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0212068

Hiroyuki Kitajima, Kentaro Takeda, Makoto Ishizawa, Kazuyuki Aihara, Tetsuo Minamino

引用次数: 0