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Turbulence of scroll waves is a sort of spatio-temporal chaos that exists in three-dimensional excitable media. Cardiac tissue and the Belousov-Zhabotinsky reaction are examples of such media. In cardiac tissue, chaotic behaviour is…

Pattern Formation and Solitons · Physics 2009-11-13 S. W. Morgan , I. V. Biktasheva , V. N. Biktashev

Rotors of reaction and diffusion, that revolve around a circular singularity, and the corresponding spiral wave activity around it, influence the nature of several excitable media. Their dynamics are known to be affected by target waves and…

Pattern Formation and Solitons · Physics 2022-06-15 Hrishikesh Kalita , Sumana Dutta

Locally broken symmetries are used across fields to transport matter, particles and information in preferential directions. Beyond local mechanisms, spatially distributed nonlinearities in crystalline media have enabled non-reciprocal…

Soft Condensed Matter · Physics 2026-03-31 Aaron Winn , Justine Parmentier , Eleni Katifori , Martin Brandenbourger

The spatiotemporal dynamics of an excitable medium with multiple spiral defects is shown to vary smoothly with system size from short-lived transients for small systems to extensive chaos for large systems. A comparison of the Lyapunov…

chao-dyn · Physics 2009-10-30 Matthew C. Strain , Henry S. Greenside

The acoustofluidic method holds great promise for manipulating microorganisms. When exposed to the steady vortex structures of acoustic streaming flow, these microorganisms exhibit intriguing dynamic behaviors, such as hydrodynamic trapping…

Fluid Dynamics · Physics 2025-04-25 Xuyang Sun , Wenchang Tan , Yi Man

Neuroscience is moving towards a more integrative discipline, where understanding brain function requires consolidating the accumulated evidence seen across experiments, species, and measurement techniques. A remaining challenge on that…

We describe a geometric method to quantify wave patterns observed in the nervous system, which are non-stationary and with a mixture of spiral, target, plane and irregular waves. The method analyzes fluctuations of the energy angular…

Pattern Formation and Solitons · Physics 2015-03-13 Chuan Zhang , Kentaroh Takagaki , Xiaoying Huang , Steven J. Schiff , Jian-Young Wu

Scroll wave chaos is thought to underlie life-threatening ventricular fibrillation. However, currently there is no direct way to measure action potential wave patterns transmurally throughout the thick ventricular heart muscle.…

Tissues and Organs · Quantitative Biology 2023-02-08 Jan Lebert , Meenakshi Mittal , Jan Christoph

Assessing the synergistic high-order behaviors (HOBs) that emerge from underlying structural mechanisms is crucial to characterize complex systems. This work leverages the combined use of predictability and information measures to detect…

Quantitative Methods · Quantitative Biology 2025-12-16 Chiara Barà , Yuri Antonacci , Laura Sparacino , Helder Pinto , Michal Javorka , Sebastiano Stramaglia , Luca Faes

Dynamics of spiral waves in perturbed, e. g. slightly inhomogeneous or subject to a small periodic external force, two-dimensional autowave media can be described asymptotically in terms of Aristotelean dynamics, so that the velocities of…

Pattern Formation and Solitons · Physics 2016-12-21 I. V. Biktasheva , A. V. Holden , V. N. Biktashev

Cortical activity recorded through EEG and MEG reflects complex dynamics that span multiple temporal and spatial scales. Spectral analyses of these signals consistently reveal power-law behaviour, a hallmark of turbulent systems. In this…

Adaptation and Self-Organizing Systems · Physics 2025-08-01 Gerald Kaushallye Cooray

Spiral wave formations are ubiquitous in nature. In the present paper, the excitation of spiral waves in the context of driven two-dimensional dusty plasma (Yukawa system) has been demonstrated at particle level using molecular dynamics…

Plasma Physics · Physics 2018-06-13 Sandeep Kumar , Amita Das

Many multicellular communities propagate signals in a directed manner via excitable waves. Cell-to-cell heterogeneity is a ubiquitous feature of multicellular communities, but the effects of heterogeneity on wave propagation are still…

Biological Physics · Physics 2020-04-22 Xiaoling Zhai , Joseph W. Larkin , Gürol M. Süel , Andrew Mugler

Information to be stored and transported requires physical carriers. The quantum bit of information (qubit) can for instance be realised as the spin 1/2 degree of freedom of a massive particle like an electron or as the spin 1 polarisation…

Quantum Physics · Physics 2009-03-15 Cord A. Mueller

In this thesis, we are concerned with the dynamics of spiral wave solutions to Reaction-Diffsion systems of equations, and how they behave when subject to symmetry breaking perturbations. We present an asymptotic theory of the study of…

Pattern Formation and Solitons · Physics 2009-12-22 Andrew J. Foulkes

The question of the relative importance of coherent structures and waves has for a long time attracted a great deal of interest in astrophysical plasma turbulence research, with a more recent focus on kinetic scale dynamics. Here we utilize…

Plasma Physics · Physics 2019-08-30 D. Groselj , C. H. K. Chen , A. Mallet , R. Samtaney , K. Schneider , F. Jenko

We demonstrate an improved technique for implementing logic circuits in light-sensitive chemical excitable media. The technique makes use of the constant-speed propagation of waves along defined channels in an excitable medium based on the…

Pattern Formation and Solitons · Physics 2012-08-06 William M. Stevens , Andrew Adamatzky , Ishrat Jahan , Ben de Lacy Costello

Excitable systems can exhibit a variety of dynamics with different complexity, ranging from a single, stable spiral to spiral defect chaos (SDC), during which spiral waves are continuously formed and destroyed. The corresponding…

Biological Physics · Physics 2024-09-20 Mahesh Kumar Mulimani , Sebastian Echeverria-Alar , Michael Reiss , Wouter-Jan Rappel

Information delivery via molecular signals is abundant in nature and potentially useful for industry sensing. Many propagation channels (e.g., tissue membranes and catalyst beds) contain porous medium materials and the impact this has on…

Information Theory · Computer Science 2020-04-24 Yuting Fang , Weisi Guo , Matteo Icardi , Adam Noel , Nan Yang

The central nervous system is composed of many individual units -- from cells to areas -- that are connected with one another in a complex pattern of functional interactions that supports perception, action, and cognition. One natural and…

Neurons and Cognition · Quantitative Biology 2017-04-03 Ann E. Sizemore , Danielle S. Bassett
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