Periodically stimulated remodelling of a muscle fibre: perturbation analysis of a simple system of first-order ODEs (original) (raw)
Related papers
Multiple-Timescale Analysis for Bifurcation from a Multiple-Zero Eigenvalue
Aiaa Journal, 2003
A Computational Tool for the Reduction of Nonlinear ODE Systems Possessing Multiple Scales
Multiscale Modeling & Simulation, 2005
PERIODIC SOLUTIONS OF STRONGLY NON-LINEAR OSCILLATORS BY THE MULTIPLE SCALES METHOD
Journal of Sound and Vibration, 2002
Multiscale analysis of defective multiple-Hopf bifurcations
Computers & Structures, 2004
A Discrete-Time Model of Electrcally Stimulated Muscle
IEEE Transactions on Biomedical Engineering, 2000
Consistent Application of the Method of Multiple-Time Scales to Nonlinear Systems
Double scale analysis of periodic solutions of some non linear vibrating systems
2013
Nonlinear Analysis: Real World Applications, 2008
A nonlinear approach to modeling of electrically stimulated skeletal muscle
IEEE Transactions on Biomedical Engineering, 2001
Numerical Bifurcation Analysis of Pacemaker Dynamics in a Model of Smooth Muscle Cells
Hammed O Fatoyinbo, Bruce Van-Brunt
Multiple Timescales Analysis for 1:2 and 1:3 Resonant Hopf Bifurcations
Nonlinear Dynamics, 2003
Numerical method for a model of inhomogeneous muscle fibers
Numerical Methods for Partial Differential Equations, 1993
Complex dynamics in a nerve fiber model with periodic coefficients
Nonlinear Analysis-real World Applications, 2009
Double scale expansion of periodic solutions of some vibrating systems, with non linear springs
2013
Journal of Theoretical Biology, 1981
Biological Cybernetics, 2011
Computational Methods for Differential Equations, 2019
Hopf bifurcations in dynamics of excitable systems
Ricerche di Matematica
Journal of the Korean Mathematical Society, 2010
Journal of Applied Mathematics and Computing, 2014
A model of macroscale deformation and microvibration in skeletal muscle tissue
ESAIM: Mathematical Modelling and Numerical Analysis, 2009
On the reconstitution problem in the multiple time-scale method
1999
The numerical treatment of perturbed bifurcation problems in ordinary differential equations
Journal of Computational and Applied Mathematics, 1983
Discretizing Dynamical Systems with Hopf-Hopf Bifurcations
Mathematical study of a nonlinear transport-diffusion problem related to muscle contraction
Differential and Integral Equations, 1990
Dynamics of Cardiovascular Muscle Using a Non-Linear Symmetric Oscillator
Symmetry