Six decades of the FitzHugh–Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines

D Cebrián-Lacasa, P Parra-Rivas, D Ruiz-Reynés… - Physics Reports, 2024‏ - Elsevier
Abstract The FitzHugh–Nagumo equation, originally conceived in neuroscience during the
1960s, became a key model providing a simplified view of excitable neuron cell behavior. Its …

Nonlinear physics of electrical wave propagation in the heart: a review

S Alonso, M Bär, B Echebarria - Reports on Progress in Physics, 2016‏ - iopscience.iop.org
The beating of the heart is a synchronized contraction of muscle cells (myocytes) that is
triggered by a periodic sequence of electrical waves (action potentials) originating in the …

[کتاب][B] Nonlinear physics of ecosystems

E Meron - 2015‏ - api.taylorfrancis.com
A significant part of this book is based on a graduate course on pattern formation which I
have been teaching during the past two decades in the Physics Department at Ben-Gurion …

[کتاب][B] Stochastic processes for physicists: understanding noisy systems

K Jacobs - 2010‏ - books.google.com
Stochastic processes are an essential part of numerous branches of physics, as well as in
biology, chemistry, and finance. This textbook provides a solid understanding of stochastic …

Resonant pattern formation in achemical system

V Petrov, Q Ouyang, HL Swinney - Nature, 1997‏ - nature.com
A periodic force applied to a nonlinear pendulum can cause the pendulum to become
entrained at a frequency that is rationally related to the applied frequency, a phenomenon …

An experimental design method leading to chemical Turing patterns

J Horváth, I Szalai, P De Kepper - Science, 2009‏ - science.org
Chemical reaction-diffusion patterns often serve as prototypes for pattern formation in living
systems, but only two isothermal single-phase reaction systems have produced sustained …

Gradual regime shifts in spatially extended ecosystems

G Bel, A Hagberg, E Meron - Theoretical Ecology, 2012‏ - Springer
Ecosystem regime shifts are regarded as abrupt global transitions from one stable state to
an alternative stable state, induced by slow environmental changes or by global …

Imaging of dynamic processes on surfaces by light

HH Rotermund - Surface Science Reports, 1997‏ - Elsevier
This work focuses on imaging of dynamic processes on surfaces, using light to illuminate the
area of interest. The methods discussed here are those in which the photoelectrons emitted …

Lamellar structures and self-replicating spots in a reaction-diffusion system

KJ Lee, HL Swinney - Physical Review E, 1995‏ - APS
Experiments on a ferrocyanide-iodate-sulfite reaction-diffusion system reveal several
different planar spatial patterns: stationary lamellae arising from a transverse front instability …

Pattern formation–a missing link in the study of ecosystem response to environmental changes

E Meron - Mathematical biosciences, 2016‏ - Elsevier
Environmental changes can affect the functioning of an ecosystem directly, through the
response of individual life forms, or indirectly, through interspecific interactions and …