Spiral waves in a coupled network of sine-circle maps

¹National Creative Research Initiative Center for Neuro-dynamics and Department of Physics, Korea University, Seoul 136-701, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 26, 2003

Abstract:

A coupled two-dimensional lattice of sine-circle maps is investigated numerically as a simple model for coupled network of nonlinear oscillators under a spatially uniform, temporally periodic, external forcing. Various patterns, including quasiperiodic spiral waves, periodic, banded spiral waves in several different polygonal shapes, and domain patterns, are observed. The banded spiral waves and domain patterns match well with the results of earlier experimental studies. Several transitions are analyzed. Among others, the source-sink transition of a quasiperiodic spiral wave and the cascade of "side-doubling" bifurcations of polygonal spiral waves are of great interest.

Related Experiment Videos

Spiral waves in a coupled network of sine-circle maps

Related Concept Videos

Temporal pavlovian conditioning of a model spiking neural network for discrimination sequences of short time intervals.

Deciphering clock cell network morphology within the biological master clock, suprachiasmatic nucleus: From the perspective of circadian wave dynamics.

Role of senescent cells in the motile behavior of active, non-senescent cells in confluent populations.

Neighbor-enhanced diffusivity in dense, cohesive cell populations.

Smoking Cessation Pharmacotherapy Utilization and Costs to a Medicaid Managed Care Plan.

Correction: Correction: Two distinct actin waves correlated with turns-and-runs of crawling microglia.

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Flexible bioelectronic electrodes: From engineering strategies to cross-domain biomedical applications.

Long-Term Electrophysiologic Comorbidities After Anatomically Repaired Congenitally Corrected Transposition of the Great Arteries: Atrial Tachyarrhythmias.

Functional Substrate Mapping and Its Correlation With Ventricular Tachycardia Critical Sites: A Blinded Study.

Fine Ventricular Fibrillation Therapy Assurance Algorithm Failure From Low-Amplitude Far-Field Signals: Precision Sensing Strategy.

Efficient Interfacial Electron Modulation Coupled with Machine Learning for Intelligent Microfluidic Photoelectrochemical-Electrochromic Sensing of Tetracycline.

Engineering Multiscale Biohybrid Interfaces for Signal Sensing and Functional Regulation of Electronic Plants.

Related Experiment Videos

Spiral waves in a coupled network of sine-circle maps

Abstract:

Related Concept Videos

Related Articles