Dynamical effects of electromagnetic flux on chialvo neuron map: nodal and network behaviors

SS Muni, HO Fatoyinbo, I Ghosh - International Journal of …, 2022 - World Scientific
We consider the dynamical effects of electromagnetic flux on the discrete Chialvo neuron
model. It is shown that the model can exhibit rich dynamical behaviors such as multistability …

Border-Collision Bifurcations in

DJW Simpson - siam REVIEW, 2016 - SIAM
For piecewise-smooth maps, new dynamics can be created by varying parameters such that
a fixed point collides with a surface on which the map is nonsmooth. If the map is continuous …

[图书][B] Nonlinear oligopolies

Oligopoly theory is one of the most intensively studied areas of mathematical economics. On
the basis of the pioneering works of Cournot (1838), many researchers have developed and …

[图书][B] Chaotic synchronization: applications to living systems

E Mosekilde, Y Maistrenko, D Postnov - 2002 - books.google.com
Interacting chaotic oscillators are of interest in many areas of physics, biology, and
engineering. In the biological sciences, for instance, one of the challenging problems is to …

[图书][B] Nonlinear dynamics: A primer

A Medio, M Lines - 2001 - books.google.com
A systematic and comprehensive introduction to the study of nonlinear dynamical systems,
in both discrete and continuous time, for nonmathematical students and researchers working …

Global analysis of a dynamic duopoly game with bounded rationality

GI Bischi, A Naimzada - Advances in dynamic games and applications, 2000 - Springer
A dynamic Cournot duopoly game, characterized by firms with bounded rationality, is
represented by a discrete-time dynamical system of the plane. Conditions ensuring the local …

Equilibrium selection in a nonlinear duopoly game with adaptive expectations

GI Bischi, M Kopel - Journal of Economic Behavior & Organization, 2001 - Elsevier
We analyze a nonlinear discrete time Cournot duopoly game, where players have adaptive
expectations. The evolution of expected outputs over time is generated by the iteration of a …

An introduction to the synchronization of chaotic systems: coupled skew tent maps

M Hasler, YL Maistrenko - IEEE Transactions on Circuits and …, 1997 - ieeexplore.ieee.org
In this tutorial paper, various phenomena linked to the synchronization of chaotic systems
are discussed using the simple example of two coupled skew tent maps. The phenomenon …

[图书][B] Chaos in discrete dynamical systems

R Abraham, C Mira, L Gardini - 1997 - Springer
1.1 BACKGROUND Our goal is to present the fundamentals of two-dimensional (2D)
iteration theory through examples, with extensive graphics (for which the 2D context is ideal) …

Multistability and cyclic attractors in duopoly games

GI Bischi, C Mammana, L Gardini - Chaos, Solitons & Fractals, 2000 - Elsevier
A dynamic Cournot duopoly game, whose time evolution is modeled by the iteration of a
map T:(x, y)→(r1 (y), r2 (x)), is considered. Results on the existence of cycles and more …