Results 11 to 20 of about 740,255 (159)

Time after time - circadian clocks through the lens of oscillator theory. [PDF]

open access: yesFEBS Lett
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Del Olmo M, Ector C, Herzel H.
europepmc   +2 more sources

Global Hopf bifurcation in the ZIP regulatory system [PDF]

open access: yes, 2015
Regulation of zinc uptake in roots of Arabidopsis thaliana has recently been modeled by a system of ordinary differential equations based on the uptake of zinc, expression of a transporter protein and the interaction between an activator and inhibitor ...
Ptashnyk, Mariya   +4 more
core   +1 more source

Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]

open access: yes, 2006
The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE   +3 more
core   +1 more source

Hopf bifurcation in a gene regulatory network model : molecular movement causes oscillations [PDF]

open access: yes, 2014
M.A.J.C. and M.S. gratefully acknowledge the support of the ERC Advanced Investigator Grant 227619, “M5CGS — From Mutations to Metastases: Multiscale Mathematical Modelling of Cancer Growth and Spread”. M.S.
Ptashnyk, Mariya   +13 more
core   +1 more source

Dynamics of the Vocal Fold Oscillation

open access: yesTrends in Computational and Applied Mathematics, 2005
This paper presents an analysis of the dynamics of the vocal fold oscillation at phonation, using low dimensional mathematical models. It shows that the wavelike motion of the vocal fold mucosa is responsible for a transfer energy from the air flow to ...
J.C. Lucero
doaj   +1 more source

Mechanism and Characteristics of Global Varying Compliance Parametric Resonances in a Ball Bearing

open access: yesApplied Sciences, 2020
Varying compliance (VC) is an unavoidable form of parametric excitation in rolling bearings and can affect the stability and safety of the bearing and its supporting rotor system.
Zhiyong Zhang   +5 more
doaj   +1 more source

A Continuous Time Bertrand Duopoly Game With Fractional Delay and Conformable Derivative: Modeling, Discretization Process, Hopf Bifurcation, and Chaos

open access: yesFrontiers in Physics, 2019
The purpose of this paper is three-fold. First, we present a discretization process to obtain numerical solutions of a conformable fractional-order system with delays. Second, we extend the classical Bertrand duopoly game with integer delays to that with
Baogui Xin, Wei Peng, Luca Guerrini
doaj   +1 more source

Complex Dynamics in Generalized Hénon Map

open access: yesDiscrete Dynamics in Nature and Society, 2015
The complex dynamics of generalized Hénon map with nonconstant Jacobian determinant are investigated. The conditions of existence for fold bifurcation, flip bifurcation, and Hopf bifurcation are derived by using center manifold theorem and bifurcation ...
Meixiang Cai
doaj   +1 more source

Symmetry-breaking in a rate model for a biped locomotion central pattern generator [PDF]

open access: yes, 2014
The timing patterns of animal gaits are produced by a network of spinal neurons called a Central Pattern Generator (CPG). Pinto and Golubitsky studied a four-node CPG for biped dynamics in which each leg is associated with one flexor node and one ...
Ian Stewart, Stewart, Ian
core   +1 more source

Modified slow-fast analysis method for slow-fast dynamical systems with two scales in frequency domain

open access: yesTheoretical and Applied Mechanics Letters, 2019
A modified slow-fast analysis method is presented for the periodically excited non-autonomous dynamical system with an order gap between the exciting frequency and the natural frequency.
Zhengdi Zhang   +2 more
doaj   +1 more source

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