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[كتاب][B] Multiple time scale dynamics
C Kuehn - 2015 - Springer
This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
Classification of bursting patterns: A tale of two ducks
Bursting is one of the fundamental rhythms that excitable cells can generate either in
response to incoming stimuli or intrinsically. It has been a topic of intense research in …
response to incoming stimuli or intrinsically. It has been a topic of intense research in …
[كتاب][B] Models of calcium signalling
The interactions between mathematics and physiology have a long and illustrious history, of
which the study of calcium signalling is but a small chapter. Nevertheless, for those involved …
which the study of calcium signalling is but a small chapter. Nevertheless, for those involved …
Fast-slow analysis for parametrically and externally excited systems with two slow rationally related excitation frequencies
We present a general method for analyzing mixed-mode oscillations (MMOs) in
parametrically and externally excited systems with two low excitation frequencies …
parametrically and externally excited systems with two low excitation frequencies …
Symmetric fold/super-Hopf bursting, chaos and mixed-mode oscillations in Pernarowski model of pancreatic beta-cells
Pancreatic beta-cells produce insulin to regularize the blood glucose level. Bursting is
important in beta cells due to its relation to the release of insulin. Pernarowski model is a …
important in beta cells due to its relation to the release of insulin. Pernarowski model is a …
Route to bursting via pulse-shaped explosion
This Rapid Communication reports on the discovery of a route to bursting, called a pulse-
shaped explosion (PSE), for a paradigmatic class of nonlinear oscillators. We find that both …
shaped explosion (PSE), for a paradigmatic class of nonlinear oscillators. We find that both …
Two novel bursting patterns in the Duffing system with multiple-frequency slow parametric excitations
This paper aims to report two novel bursting patterns, the turnover-of-pitchfork-hysteresis-
induced bursting and the compound pitchfork-hysteresis bursting, demonstrated for the …
induced bursting and the compound pitchfork-hysteresis bursting, demonstrated for the …
Extremely slow passages in low-pass filter-based memristive oscillator
Slow passage effect in a nonlinear dynamical system commonly generates a delay in the
bifurcation point, which can cause an uncertainty in the prediction of dynamics around the …
bifurcation point, which can cause an uncertainty in the prediction of dynamics around the …
Fenichel theory for multiple time scale singular perturbation problems
This paper is concerned with a geometric study of singularly perturbed systems of ordinary
differential equations expressed by (n-1)-parameter families of smooth vector fields on R^l …
differential equations expressed by (n-1)-parameter families of smooth vector fields on R^l …
Occurrence of mixed-mode oscillations in a system consisting of a van der pol system and a duffing oscillator with two potential wells
W Lyu, S Li, J Huang, Q Bi - Nonlinear Dynamics, 2024 - Springer
Mixed-mode oscillations (abbreviated as MMOs) belong to a typical kind of fast/slow
dynamical behavior, and how to investigate the mechanism is an important problem in …
dynamical behavior, and how to investigate the mechanism is an important problem in …