Results 91 to 100 of about 62,585 (218)

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

, 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
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Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms

International Journal of Analysis and Applications, 2019
Several endomorphisms of the plane have been constructed by simple maps. We study the dynamics occuring in one of them, which is rich in global bifurcations.
Djellit Ilham, Fakroune Yamina, Selmani Wissame   +2 more
doaj   +2 more sources

Analysis of the Dynamical Properties of Discrete Predator-Prey Systems with Fear Effects and Refuges

Discrete Dynamics in Nature and Society
This paper examines the dynamic behavior of a particular category of discrete predator-prey system that feature both fear effect and refuge, using both analytical and numerical methods.
Wei Li, Chunrui Zhang, Mi Wang
doaj   +1 more source

Controlling hopf bifurcations: Discrete-time systems

Discrete Dynamics in Nature and Society, 2000
Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can be either shifting an existing
Guanrong Chen, Jin-quing Fang, Yiguang Hong, Huashu Qin   +3 more
doaj   +1 more source

Sensorless Self-Excited Vibrational Viscometer with Two Hopf Bifurcations Based on a Piezoelectric Device. [PDF]

Sensors (Basel), 2021
Urasaki S, Yabuno H, Yamamoto Y, Matsumoto S.   +3 more
europepmc   +1 more source

Criterion of Hopf Bifurcations without Using Eigenvalues [PDF]

, 1994
This paper presents a criterion for a class of Hopf bifurcations using the properties of coefficients of characteristic equations instead of those of eigenvalues.
Liu, W.M.
core   +1 more source

Backward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects

Journal of Biological Dynamics, 2019
In this paper, we consider a system of delay differential equations that models the oncolytic virotherapy on solid tumours with the delay of viral infection in the presence of the innate immune response. We conduct qualitative and numerical analysis, and
Yuxiao Guo, Ben Niu, Jianjun Paul Tian
doaj   +1 more source

Control of dynamic Hopf bifurcations [PDF]

Nonlinearity, 1999
The slow passage through a Hopf bifurcation leads to the delayed appearance of large amplitude oscillations. We construct a smooth scalar feedback control which suppresses the delay and causes the system to follow a stable equilibrium branch. This feature can be used to detect in time the loss of stability of an ageing device.
openaire   +3 more sources

Dynamical Analysis in a Delayed Predator-Prey Model with Two Delays

Discrete Dynamics in Nature and Society, 2012
A class of Beddington-DeAngelis functional response predator-prey model is considered. The conditions for the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are derived.
Changjin Xu, Peiluan Li
doaj   +1 more source

Forced oscillators with Dynamic Hopf bifurcations and applications to paleoclimate [PDF]

, 2014
University of Minnesota Ph.D. dissertation. May 2014. Major: Mathematics. Advisor: Richard McGehee. 1 computer file (PDF); vi, 61 pages.Mathematical modeling is an important tool for understanding historic and future climate. The 100,000 year problem, or
Oestreicher, Samantha Megan
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