Results 41 to 50 of about 25,515 (266)

Accumulating regions of winding periodic orbits in optically driven lasers [PDF]

open access: yes, 2001
We investigate the route to locking in class B lasers subject to optically injected light for injection strengths and detunings near a codimension-two saddle-node Hopf point.
Krauskopf, B, Wieczorek, Sebastian
core   +2 more sources

Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting

open access: yesAbstract and Applied Analysis, 2013
The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several ...
Xia Liu, Yepeng Xing
doaj   +1 more source

Dynamical Mechanism of Hyperpolarization-Activated Non-specific Cation Current Induced Resonance and Spike-Timing Precision in a Neuronal Model

open access: yesFrontiers in Cellular Neuroscience, 2018
Hyperpolarization-activated cyclic nucleotide-gated cation current (Ih) plays important roles in the achievement of many physiological/pathological functions in the nervous system by modulating the electrophysiological activities, such as the rebound ...
Zhiguo Zhao   +3 more
doaj   +1 more source

Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey

open access: yesJournal of Biological Dynamics, 2023
In this work, we first modify a Lotka–Volterra predator–prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is large ...
Zhenliang Zhu   +3 more
doaj   +1 more source

Random load fluctuations and collapse probability of a power system operating near codimension 1 saddle-node bifurcation [PDF]

open access: yesIEEE Power & Energy Society General Meeting, 2012
For a power system operating in the vicinity of the power transfer limit of its transmission system, effect of stochastic fluctuations of power loads can become critical as a sufficiently strong such fluctuation may activate voltage instability and lead ...
D. Podolsky, K. Turitsyn
semanticscholar   +1 more source

Homoclinic Saddle-Node Bifurcations in Singularly Perturbed Systems [PDF]

open access: yesJournal of Dynamics and Differential Equations, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Doelman, A., Hek, G.M.
openaire   +4 more sources

Predicting non-stationary and stochastic activation of saddle-node bifurcation in non-smooth dynamical systems

open access: yesVolume 2: Modeling, Simulation and Control; Bio-Inspired Smart Materials and Systems; Energy Harvesting, 2016
Saddle-node bifurcation can cause dynamical systems undergo large and sudden transitions in their response, which is very sensitive to stochastic and non-stationary influences that are unavoidable in practical applications.
Jin-Ki Kim, R. Harne, Kon-Well Wang
semanticscholar   +1 more source

Unified model of voltage/current mode control to predict saddle-node bifurcation [PDF]

open access: yesarXiv.org, 2012
A unified model of voltage mode control (VMC) and current mode control (CMC) is proposed to predict the saddle-node bifurcation (SNB). Exact SNB boundary conditions are derived, and can be further simplified in various forms for design purpose.
C. Fang
semanticscholar   +1 more source

Bifurcation, chaos, and voltage collapse in power systems [PDF]

open access: yes, 1995
A model of a power system with load dynamics is studied by investigating qualitative changes in its behavior as the reactive power demand at a load bus is increased.
Tan, ChinWoo   +3 more
core   +1 more source

Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response

open access: yesMathematics, 2023
Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
doaj   +1 more source

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