Physica D: Nonlinear Phenomena最新文献_第6页

Tracking governing equations with nonlinear adaptive filters

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-11 DOI: 10.1016/j.physd.2025.134614

Martin K. Steiger, Hans-Georg Brachtendorf

引用次数: 0

Oscillatory instability and stability of stationary solutions in the parametrically driven, damped nonlinear Schrödinger equation

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-10 DOI: 10.1016/j.physd.2025.134611

Fernando Carreño-Navas , Renato Alvarez-Nodarse , Niurka R. Quintero

{"title":"Oscillatory instability and stability of stationary solutions in the parametrically driven, damped nonlinear Schrödinger equation","authors":"Fernando Carreño-Navas , Renato Alvarez-Nodarse , Niurka R. Quintero","doi":"10.1016/j.physd.2025.134611","DOIUrl":"10.1016/j.physd.2025.134611","url":null,"abstract":"<div><div>We found two stationary solutions of the parametrically driven, damped nonlinear Schrödinger equation with a nonlinear term proportional to <span><math><mrow><msup><mrow><mrow><mo>|</mo><mi>ψ</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow><mo>|</mo></mrow></mrow><mrow><mn>2</mn><mi>κ</mi></mrow></msup><mi>ψ</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> for positive values of <span><math><mi>κ</mi></math></span>. By linearizing the equation around these exact solutions, we derived the corresponding Sturm–Liouville problem. Our analysis reveals that one of the stationary solutions is unstable, while the stability of the other solution depends on the amplitude of the parametric force, the damping coefficient, and the nonlinearity parameter <span><math><mi>κ</mi></math></span>. An exceptional change of variables facilitates the computation of the stability diagram through numerical solutions of the eigenvalue problem as a specific parameter <span><math><mi>ɛ</mi></math></span> varies within a bounded interval. For <span><math><mrow><mi>κ</mi><mo><</mo><mn>2</mn></mrow></math></span> , an <em>oscillatory instability</em> is predicted analytically and confirmed numerically. Our principal result establishes that for <span><math><mrow><mi>κ</mi><mo>≥</mo><mn>2</mn></mrow></math></span>, there exists a critical value of <span><math><mi>ɛ</mi></math></span> beyond which the unstable soliton becomes stable, exhibiting <em>oscillatory stability</em>.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"476 ","pages":"Article 134611"},"PeriodicalIF":2.7,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143610033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Accelerating flapping flight analysis: Reducing CFD dependency with a hybrid decision tree approach for swift velocity predictions

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-10 DOI: 10.1016/j.physd.2025.134618

Bluest Lan , Yu-Hsiang Lai

{"title":"Accelerating flapping flight analysis: Reducing CFD dependency with a hybrid decision tree approach for swift velocity predictions","authors":"Bluest Lan , Yu-Hsiang Lai","doi":"10.1016/j.physd.2025.134618","DOIUrl":"10.1016/j.physd.2025.134618","url":null,"abstract":"<div><div>Insect flight depends on flapping their wings, allowing their agile movement. The modulation of wing flapping enables insects to manoeuvre with flexibility. Given the inability to directly control or observe the nuances of insect wing flapping in biological experiments, numerical simulation emerges as a more feasible approach for investigating insect flight dynamics. Through computational fluid dynamics (CFD) analysis, it is possible to obtain highly accurate results and gain insights into the effects of various flapping behaviours on flight. However, the substantial time cost associated with individual simulations poses a challenge, making it difficult to explore the comprehensive range of parameter combinations and variations. In order to enhance the efficiency of research, this study introduces an algorithmic framework that utilises signal decomposition techniques and decision tree to reduce the computational time required for flight simulation. The approach simplifies data complexity, enabling rapid identification of specific flight manoeuvres of interest, followed by detailed examination with conventional method. It allows for predicting flight end-states with minimal simulation data while maintaining high accuracy and reducing dependency on CFD computation. These advancements benefit studies on insect flight postures and the design of micro air vehicles (MAVs), enriching both theoretical and practical aerodynamics.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"476 ","pages":"Article 134618"},"PeriodicalIF":2.7,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143600737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Soliton interaction and nonlinear localized waves in one-dimensional nonlinear acoustic metamaterials

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-10 DOI: 10.1016/j.physd.2025.134591

Souleymanou Abbagari , Alphonse Houwe , Lanre Akinyemi , Serge Yamigno Doka

{"title":"Soliton interaction and nonlinear localized waves in one-dimensional nonlinear acoustic metamaterials","authors":"Souleymanou Abbagari , Alphonse Houwe , Lanre Akinyemi , Serge Yamigno Doka","doi":"10.1016/j.physd.2025.134591","DOIUrl":"10.1016/j.physd.2025.134591","url":null,"abstract":"<div><div>In this study, we investigate soliton interactions and localized wave phenomena in nonlinear acoustic metamaterials with coupling coefficients. By employing the Lindstedt-Poincaré perturbation method and a multi-scale analysis, we derive the dispersion relation for the nonlinear Schrödinger equation. The dispersion curve reveals two propagation modes: the acoustic mode and the optical mode. Particular emphasis is placed on the dynamics of bright solitons in both low- and high-frequency bands, as well as energy propagation within the forbidden bandgap. Notably, soliton pairs emerge in the allowed phonon bands, illustrating their interaction characteristics. In the forbidden bandgap, we demonstrate that when the driving amplitude exceeds the supratransmission threshold, a train of pulses forms, leading to the generation of a dark soliton. These findings are supported by full numerical simulations of the nonlinear discrete coupled diatomic chain model. Furthermore, the modified model introduces novel features, making it a promising framework for exploring delocalized wave phenomena in future study.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"476 ","pages":"Article 134591"},"PeriodicalIF":2.7,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143609969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Phase synchronisation in coupled oscillator chains with endpoint heterogeneity

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-08 DOI: 10.1016/j.physd.2025.134610

Daniel Galvis , Nicolás Verschueren van Rees , Kyle C.A. Wedgwood

{"title":"Phase synchronisation in coupled oscillator chains with endpoint heterogeneity","authors":"Daniel Galvis , Nicolás Verschueren van Rees , Kyle C.A. Wedgwood","doi":"10.1016/j.physd.2025.134610","DOIUrl":"10.1016/j.physd.2025.134610","url":null,"abstract":"<div><div>The emergence of collective dynamics within heterogeneous networks is a key feature of many biological networks. Heterogeneity of excitability, for example, has become a focus in the study of how pancreatic islets coordinate insulin secretion. This has raised the question of how highly excitable nodes might coordinate collective dynamics through networks where a large percentage of the population is intrinsically quiescent. To study this, we consider a discrete version of the Complex Ginzburg–Landau equation, parameterised such that in the absence of coupling, the endpoints exhibit globally attracting limit cycle behaviour and the interior nodes exhibit globally attracting trivial fixed point dynamics. Through model simulation and numerical continuation, we interrogate the relationship between model parameters and the stability of several phase-locked solutions of the system, focussing on two key solution types, the <em>chevron</em> and <em>anti-phase chevron</em> solutions, in which the exterior nodes exhibit a phase difference of 0 and <span><math><mi>π</mi></math></span>, respectively. We find that the anti-phase chevron solution stabilises as the excitability of the interior nodes decreases, or as the shearing effect of non-zero, coupling-induced amplitude perturbations from the natural limit cycle increases. Moreover, we find multiple regions of bistability with solutions with different phase synchronisation properties, highlighting that solutions observed in such networks may depend sensitively on initial conditions. Overall, our work highlights that chains with distributed heterogeneity exhibit a multitude of phase synchronised solutions, which are likely to be relevant in a range of real world networks.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"476 ","pages":"Article 134610"},"PeriodicalIF":2.7,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143610034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Construction and analysis of multi-lump solutions of dispersive long wave equations via integer partitions

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-08 DOI: 10.1016/j.physd.2025.134602

Yong-Ning An, Rui Guo, Xiao-Xing Niu

引用次数: 0

Robustness analysis of externally driven damped solitons in the presence of uncertainties and disorders

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-07 DOI: 10.1016/j.physd.2025.134612

A. Barbosa, N. Kacem, N. Bouhaddi

{"title":"Robustness analysis of externally driven damped solitons in the presence of uncertainties and disorders","authors":"A. Barbosa, N. Kacem, N. Bouhaddi","doi":"10.1016/j.physd.2025.134612","DOIUrl":"10.1016/j.physd.2025.134612","url":null,"abstract":"<div><div>This paper investigates the sensitivity of localized vibrations phenomena in externally driven Duffing oscillator chains. Such investigation is conducted by generalizing the Nonlinear Schrödinger Equation (NLSE) to accommodate disorder functions in all physical parameters, beyond impurities commonly found in the literature, limited to the natural frequency of the components. Given the absence of closed-form solutions for externally driven damped systems, we employ a numerical method, followed by statistical analysis, to elucidate the effects of parameter uncertainties across the lattice on solitons behavior. Our findings highlight the diverse effects of the physical nature of uncertainties within the mechanical structure, offering insights into possible experimental investigations. Additionally, we illustrate how specific impurities along the chain, capable to nucleate oscillations, mitigate resonant chaotic behaviors, reinforcing soliton stability. The results affirm the feasibility of generating standing waves in nonlinear lattices, emphasizing their relevance beyond traditional periodic assumptions, where uncertainties in physical parameters are commonly disregarded.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"476 ","pages":"Article 134612"},"PeriodicalIF":2.7,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143579633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Effect of dispersal-induced death in predator–prey metapopulation system with bistable local dynamics

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-06 DOI: 10.1016/j.physd.2025.134597

Sounov Marick, Nandadulal Bairagi

{"title":"Effect of dispersal-induced death in predator–prey metapopulation system with bistable local dynamics","authors":"Sounov Marick, Nandadulal Bairagi","doi":"10.1016/j.physd.2025.134597","DOIUrl":"10.1016/j.physd.2025.134597","url":null,"abstract":"<div><div>Metapopulation survivability largely depends on the efficient spatial movement of dispersing populations. This study investigates the predator–prey metapopulation model, where the patches are connected by weighted mean-field coupling, capturing species loss due to inefficient dispersal, along with bistability in the local system. Using a semi-analytical approach, it dissects the dynamics of individual patch system (IPS) and homogeneous patch system (HPS), a limiting case of the metapopulation with a homogeneous population distribution. Though HPS can capture a holistic metapopulation dynamic, including persistence and extinction, it fails to differentiate multi-clustered states arising from low dispersal rates and the initial value-dependent behaviours. Our simulation results uncover various emergent metapopulation dynamics, like homogeneous steady states (HSS), global synchrony, multi-cluster and chimera states. It shows that the metapopulation exhibits amplitude death (AD) and oscillation death (OD) based on the dispersal rate, efficiency, and initial active/inactive patch numbers. Moreover, the study formulates a distance-dependent dispersal efficiency on a geometrically generated network with asymmetric patch arrangement. Distance-dependent dispersal efficiency increases the occurrence of the OD state in the parametric plane. Understanding these dynamics sheds light on species survivability in metapopulation and underscores the importance of efficient spatial movement.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"476 ","pages":"Article 134597"},"PeriodicalIF":2.7,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143592754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Limit cycles bifurcating from periodic integral manifold in non-smooth differential systems

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-05 DOI: 10.1016/j.physd.2025.134600

Oscar A.R. Cespedes , Douglas D. Novaes

引用次数: 0

Vegetation pattern formation and transition in dryland ecosystems with finite soil resources and inertia

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-03-05 DOI: 10.1016/j.physd.2025.134601

Giancarlo Consolo , Carmela Curró , Gabriele Grifó , Giovanna Valenti

{"title":"Vegetation pattern formation and transition in dryland ecosystems with finite soil resources and inertia","authors":"Giancarlo Consolo , Carmela Curró , Gabriele Grifó , Giovanna Valenti","doi":"10.1016/j.physd.2025.134601","DOIUrl":"10.1016/j.physd.2025.134601","url":null,"abstract":"<div><div>The formation of vegetation patterns in dryland ecosystems and the transition between different morphologies are here investigated by means of a bidimensional hyperbolic reaction-transport model. The proposed conceptual framework represents an extension of the classical Klausmeier model in which the finite carrying capacity of the soil and the inertia of biomass and water are also taken into account. The main aim of this work is to elucidate how pattern dynamics occurring at, near and far from the instability threshold are affected by the combined action of limited soil resources, inertia and climate change. To achieve this goal, a threefold investigation is carried out. First, linear stability analysis is addressed to deduce the main pattern features associated with Turing patterns at the onset of instability. Then, multiple-scale weakly nonlinear analysis is employed to characterize the pattern amplitude close to onset. In particular, the study encompasses the description of different pattern morphologies which emerge when the excited eigenmode exhibits single or double multiplicity. Finally, the transition between different patterned states is investigated in far-from-equilibrium conditions, especially to emphasize the nontrivial role played by inertia in the ecosystem response. Numerical simulations are also used to corroborate analytical predictions and to shed light on some key aspects of vegetation pattern dynamics in the context of dryland ecology.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"476 ","pages":"Article 134601"},"PeriodicalIF":2.7,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143561375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0