Complex Rayleigh-Van Der Pol-Duffing Oscillators: Dynamics, Phase and Anti-Phase Synchronization DOI Open Access
Gamal M. Mahmoud, Ahmed A. Farghaly, Tarek M. Abed‐Elhameed

et al.

Published: Nov. 9, 2023

This paper introduces the complex Rayleigh-van der Pol-Duffing oscillators (RVDOs), which are hyperchaotic and can be either autonomous or non-autonomous. The fundamental dynamics of nonautonomous RVDOs including dissipation, symmetry, fixed points their stability studied. These found in various important fields physics engineering. proposes a scheme to achieve phase synchronization (PS) antiphase (APS) for different dimensional models. kinds considered as generalization several other types synchronization. For this we use active control method based on Lyapunov theory. By analytically determining functions, achieved PS APS. Our is applied study behaviours two distinct non-autonomous RVDOs. Additionally, employed APS chaotic real RVDO RVDO, those with dimensions. work presents numerical results that plot amplitudes phases these behaviours, demonstrating successful achievement

Language: Английский

Emergence of large-scale mechanical spiral waves in bacterial living matter DOI
Shiqi Liu, Ye Li, Yuhao Wang

et al.

Nature Physics, Journal Year: 2024, Volume and Issue: 20(6), P. 1015 - 1021

Published: April 4, 2024

Language: Английский

Citations

15

Understanding collective behavior in biological systems through potential field mechanisms DOI Creative Commons
Junqiao Zhang, Qiang Qu, Xuebo Chen

et al.

Scientific Reports, Journal Year: 2025, Volume and Issue: 15(1)

Published: Jan. 29, 2025

Collective behavior in biological systems emerges from local interactions among individuals, enabling groups to adapt dynamic environments. Traditional modeling approaches, such as bottom-up and top-down models, have limitations accurately representing these complex interactions. We propose a novel potential field mechanism that integrates environmental influences explain collective behavior. This study introduces fields, where individuals perceive respond fields generated by cues other individuals. develop mathematical framework combining distributed learning swarm control simulate analyze under varying conditions. Our simulations span variety of conditions, including standard environments organisms interact typical high noise are disrupted random fluctuations, density with increased competition for space, risk featuring areas strong negative field, multiple resource degrees availability. These demonstrate the adaptability resilience changing challenging Results reveal how facilitate emergence stable coordinated behaviors, providing insights into self-organization, cooperation, nature. enhances our understanding has implications bio-robotics, systems, networks.

Language: Английский

Citations

0

Computational tools for cellular scale biophysics DOI
David B. Stein, Michael Shelley

Current Opinion in Cell Biology, Journal Year: 2024, Volume and Issue: 89, P. 102379 - 102379

Published: June 7, 2024

Language: Английский

Citations

3

Series solution and its extension for the nonlinear flow response of soft hair beds DOI
Bohua Sun,

B. Pang,

Meng Li

et al.

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(9)

Published: Sept. 1, 2024

In nature and engineering applications, flexible fiber beds covering biological surfaces can play a role in reducing resistance. These fibers deform under the action of fluids, this deformation affects fluid flow state, forming complex fluid–solid interaction phenomenon. To quantitatively analyze these issues, physical model is simplified. We focus on soft hair bed caused by Stokes flow. Additionally, we study single greater detail. The problem an elastic channel be described nonlinear integral equation. have obtained new series solution, which has been compared with previous perturbation method to verify accuracy effectiveness solution. Meanwhile, further provided extended form through experimental fitting. This involves multiple fields very important many natural systems. research paper not only help us better understand phenomena but also delve into mechanism between fluids solids, providing theoretical basis for future scientific applications.

Language: Английский

Citations

2

Spiral wave chimeras in nonlocally coupled excitable FitzHugh–Nagumo neurons DOI
Yang Li, Haihong Li, Shun Gao

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 189, P. 115681 - 115681

Published: Oct. 30, 2024

Language: Английский

Citations

2

A numerical solver for active hydrodynamics in three dimensions and its application to active turbulence DOI Creative Commons
Abhinav Singh,

Philipp H. Suhrcke,

Pietro Incardona

et al.

Physics of Fluids, Journal Year: 2023, Volume and Issue: 35(10)

Published: Oct. 1, 2023

We present a higher-order convergent numerical solver for active polar hydrodynamics in three-dimensional domains of arbitrary shape, along with scalable open-source software implementation shared- and distributed-memory parallel computers. This enables the computational study nonlinear dynamics out-of-equilibrium materials from first principles. numerically solve Ericksen–Leslie hydrodynamic equations (3D) nematics using both meshfree hybrid particle-mesh method either Eulerian or Lagrangian frame reference. The is validated against newly derived analytical solution 3D implemented OpenFPM library scientific computing. then apply presented to studying transition fluids spatiotemporal chaos, emergence coherent angular motion annulus, chiral vortices symmetric asymmetric shapes resembling dividing cells. Overall, this provides robust efficient simulation framework matter verified convergence scalability on

Language: Английский

Citations

5

Spiral wave chimeras in nonlocally coupled bicomponent oscillators DOI
Yang Li, Haihong Li, Yirui Chen

et al.

Physical review. E, Journal Year: 2023, Volume and Issue: 108(6)

Published: Dec. 15, 2023

Chimera states in nonidentical oscillators have received extensive attention recent years. Previous studies demonstrated that chimera can exist a ring of nonlocally coupled bicomponent even the presence strong parameter heterogeneity. In this study, we investigate spiral wave chimeras two-dimensional where are randomly divided into two groups, with identical same group. Using phase and FitzHugh-Nagumo as examples, numerically demonstrate each group supports its own coexist other. We find there three heterogeneity regimes: synchronous regime at weak heterogeneity, asynchronous transition between. regime, supported by different groups synchronized other sharing rotating frequency incoherent core. rotate frequencies their cores far away from These phenomena also observed nonrandom distribution continuum limit infinitely many oscillators. The to depends on component Specifically, it is discontinuous for but continuous one that, increasing leads irregularly meandering rigidly ones.

Language: Английский

Citations

4

Complex Rayleigh–van-der-Pol–Duffing Oscillators: Dynamics, Phase, Antiphase Synchronization, and Image Encryption DOI Creative Commons

A. Al Themairi,

Gamal M. Mahmoud, Ahmed A. Farghaly

et al.

Fractal and Fractional, Journal Year: 2023, Volume and Issue: 7(12), P. 886 - 886

Published: Dec. 15, 2023

This paper introduces the complex Rayleigh–van-der- Pol–Duffing oscillators (RVDOs), which are hyperchaotic and can be autonomous or nonautonomous. The fundamental dynamics of nonautonomous RVDOs, including dissipation, symmetry, fixed points, stability, studied. These found in various necessary fields physics engineering. proposes a scheme to achieve phase synchronization (PS) antiphase (APS) for different dimensional models. kinds considered generalization several other types synchronization. We use active control method based on Lyapunov’s stability theory this scheme. By analytically determining functions, achieved PS APS. Our is applied study behaviors two distinct RVDOs. Additionally, employed APS chaotic real RVDO RVDO, those with dimensions. work presents numerical results that plot amplitudes phases these behaviors, demonstrating achievement encryption decryption grayscale images researched experimental image computed information entropy, visual analysis, histograms.

Language: Английский

Citations

2

Molecular hydrodynamic theory of the velocity autocorrelation function DOI Open Access
Sean L. Seyler,

Charles E Seyler

Published: Feb. 11, 2023

The velocity autocorrelation function (VACF) encapsulates extensive information about a fluid’s molecular-structural and hydrodynamic properties. We address the following fundamental question: How well can purely description recover molecular features of fluid as exhibited by VACF? To this end, we formulate bona fide theory tagged-particle VACF for simple fluids. Our approach is distinguished from previous efforts in two key ways: collective modes are modeled linear equations; static kinetic energy spectrum identified necessary initial condition momentum current correlation. formulation leads to natural physical interpretation superposition quasinormal weighted commensurately with spectrum, which appears be essential bridging continuum hydrodynamical behavior discrete-particle kinetics. methodology yields calculations quantitatively on par existing approaches liquid noble gases alkali metals; moreover, our model self-intermediate scattering extends applicable domain low densities where Schmidt number order unity, enabling supercritical

Language: Английский

Citations

0

Complex Rayleigh-Van Der Pol-Duffing Oscillators: Dynamics, Phase and Anti-Phase Synchronization DOI Open Access
Gamal M. Mahmoud, Ahmed A. Farghaly, Tarek M. Abed‐Elhameed

et al.

Published: Nov. 9, 2023

This paper introduces the complex Rayleigh-van der Pol-Duffing oscillators (RVDOs), which are hyperchaotic and can be either autonomous or non-autonomous. The fundamental dynamics of nonautonomous RVDOs including dissipation, symmetry, fixed points their stability studied. These found in various important fields physics engineering. proposes a scheme to achieve phase synchronization (PS) antiphase (APS) for different dimensional models. kinds considered as generalization several other types synchronization. For this we use active control method based on Lyapunov theory. By analytically determining functions, achieved PS APS. Our is applied study behaviours two distinct non-autonomous RVDOs. Additionally, employed APS chaotic real RVDO RVDO, those with dimensions. work presents numerical results that plot amplitudes phases these behaviours, demonstrating successful achievement

Language: Английский

Citations

0