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This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of…

Dynamical Systems · Mathematics 2025-05-28 Navojit Dhali Pallab

There are three key factors of a system of coupled oscillators that characterize the interaction among them: coupling (how to affect), delay (when to affect) and topology (whom to affect). For each of them, the existing work has mainly…

Optimization and Control · Mathematics 2015-06-15 Enrique Mallada , Ao Tang

We study theoretically the behavior of a class of hydrodynamic dipoles. This study is motivated by recent experiments on synthetic and biological swimmers in microfluidic \textit{Hele-Shaw} type geometries. Under such confinement, a…

Fluid Dynamics · Physics 2015-09-30 Eva Kanso , Alan Tsang

Recent work has identified persistent cluster states which were shown to be assembled and held together by hydrodynamic interactions alone [Driscoll \textit{et al.} (2017) Nature Physics, 13(4), 375]. These states were seen in systems of…

Fluid Dynamics · Physics 2019-04-10 Blaise Delmotte

The mechanism of hydrodynamics-induced pairing of soft particles, namely closed bilayer membranes (vesicles, a model system for red blood cells) and drops, is studied numerically with a special attention paid to the role of the confinement…

Optical vortex traps created from helical modes of light can drive fluid-borne colloidal particles in circular trajectories. Concentric circulating rings of particles formed by coaxial optical vortices form a microscopic Couette cell, in…

Soft Condensed Matter · Physics 2015-06-25 Kosta Ladavac , David G. Grier

Run-and-tumble (RT) motion is commonly observed in flagellated microswimmers, arising from synchronous and asynchronous flagellar beating. One such example is a biflagellated alga, called \textit{Chlamydomonas reinhardtii}. Its flagellar…

Soft Condensed Matter · Physics 2025-10-17 Somnath Paramanick , Umashankar Pardhi , Harsh Soni , Nitin Kumar

We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving trajectory is linearly stable to…

chao-dyn · Physics 2009-10-30 Reggie Brown , Nikolai F. Rulkov

The motility of microorganisms is influenced greatly by their hydrodynamic interactions with the fluidic environment they inhabit. We show by direct experimental observation of the bi-flagellated alga Chlamydomonas reinhardtii that fluid…

Biological Physics · Physics 2015-11-03 Boyang Qin , Arvind Gopinath , Jing Yang , Jerry P Gollub , Paulo E Arratia

Tidal torques can alter the spins of tidally interacting stars and planets, usually over shorter timescales than the tidal damping of orbital separations or eccentricities. Simple tidal models predict that, in eccentric binary or planetary…

Solar and Stellar Astrophysics · Physics 2024-07-16 Janosz W. Dewberry

Synchronization among arrays of beating cilia is one of the emergent phenomena in biological processes at meso-scopic scales. Strong inter-ciliary couplings modify the natural beating frequencies, $\omega$, of individual cilia to produce a…

Statistical Mechanics · Physics 2021-06-09 Hyunsuk Hong , Junghyo Jo , Changbong Hyeon , Hyunggyu Park

Cilia and flagella exhibit regular bending waves that perform mechanical work on the surrounding fluid, to propel cellular swimmers and pump fluids inside organisms. Here, we quantify a force-velocity relationship of the beating flagellum,…

Cell Behavior · Quantitative Biology 2016-12-21 Gary S. Klindt , Christian Ruloff , Christian Wanger , Benjamin M. Friedrich

Cilia and flagella are self-actuated microtubule-based structures that are present on many cell surfaces, ranging from the outer surface of single-cell organisms to the internal epithelial surfaces in larger animals. A fast and robust…

Fluid Dynamics · Physics 2020-04-08 Hanliang Guo , Hai Zhu , Shravan Veerapaneni

A density functional theory for colloidal dynamics is presented which includes hydrodynamic interactions between the colloidal particles. The theory is applied to the dynamics of colloidal particles in an optical trap which switches…

Soft Condensed Matter · Physics 2009-11-13 M. Rex , H. Loewen

In nature, metachronal coordination is an efficient strategy for fluid pumping and self-propulsion. Yet, mimetic systems for this type of organization are scarce. Recently, metachronal motion was observed in a bead-based magnetocapillary…

Soft Condensed Matter · Physics 2023-11-07 Sebastian Ziegler , Megan Delens , Ylona Collard , Maxime Hubert , Nicolas Vandewalle , Ana-Sunčana Smith

Motile cilia drive biological fluid transport through whip-like beating motions that synchronize into metachronal waves. The lengths of these cilia span three orders of magnitude, from microns in human airways to millimeters in ctenophores.…

Biological systems are robust to perturbations at both the genetic and environmental levels. Yet, these same perturbations can elicit variation in behavior. The interplay between functional robustness and behavioral variability is…

Biological Physics · Physics 2021-06-03 Veikko Geyer , Jonathon Howard , Pablo Sartori

Many biological microswimmers can modulate their swimming gait to achieve directional control of motility, especially when performing steering towards specific directional cues. This can be achieved without the need for obvious…

The synchronization between two dynamical systems is one of the most appealing phenomena occurring in Nature. Already observed by Huygens in the case of two pendula, it is a current area of research in the case of chaotic systems, with…

Chaotic Dynamics · Physics 2019-05-14 Guillermo Dávila , Antonio Morante , José A Vallejo

We study the fluid dynamics of two fish-like bodies with synchronised swimming patterns. Our studies are based on two-dimensional simulations of viscous incompressible flows. We distinguish between motion patterns that are externally…

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