Bifurcation Type Change of AC Electrostatically Actuated MEMS Resonators due to DC Bias
This paper investigates the nonlinear response of microelectromechanical system (MEMS) cantilever resonator electrostatically actuated by applying a soft alternating current (AC) voltage and an even softer direct current (DC) voltage between the ...
Dumitru I. Caruntu, Kyle N. Taylor
doaj +1 more source
Bifurcation Analysis in a Cross-Protection Model
We analyze the population dynamics of a microbial cross-protection model and derive the exact conditions under which a Fold–Hopf bifurcation emerges. By applying center-manifold reduction and normal-form theory, we reduce the infinite-dimensional delay ...
Yufei Wu +4 more
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Complex Dynamical Behaviors in a Spring-Block Model with Periodic Perturbation
A generalization of a Burridge-Knopoff spring-block model is investigated to illustrate the dynamics of transform faults. The model can undergo Hopf bifurcation and fold bifurcation of limit cycles. Considering the cyclical nature of the spring stiffness,
Cun Chen, Xueping Li, Jingli Ren
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Critical dynamics and cyclic memory retrieval in non-reciprocal Hopfield networks
We study Hopfield networks with non-reciprocal coupling inducing switches between memory patterns. Dynamical phase transitions occur between phases of no memory retrieval, retrieval of multiple point-attractors, and limit-cycles. The limit cycle phase is
Shuyue Xue, Mohammad Maghrebi, George I. Mias, Carlo Piermarocchi
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Numerical Continuation of Limit Cycle Oscillations and Bifurcations in High-Aspect-Ratio Wings
This paper applies numerical continuation techniques to a nonlinear aeroelastic model of a highly flexible, high-aspect-ratio wing. Using continuation, it is shown that subcritical limit cycle oscillations, which are highly undesirable phenomena ...
Andrew J. Eaton +5 more
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Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]
The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM +3 more
core +1 more source
Zero-Hopf Bifurcation in the Generalized Stretch-Twist-Fold Flow
A zero-Hopf equilibrium in a three-dimensional system is an isolated equilibrium point which has a zero eigenvalue and a simple pair of purely imaginary eigenvalues.
Niazy H. Hussein, Azad I. Amen
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Capital‐Labour Substitution in Macroeconomics: A Survey of Mechanisms, Dynamics and Policy Insights
ABSTRACT Macroeconomic conclusions often hinge on a single, hard‐to‐pin‐down parameter: the elasticity of substitution between capital and labour, σ. This survey synthesises theory and evidence on how results change once we move beyond the Cobb–Douglas benchmark (σ=1$\sigma = 1$).
Francisco Rebelo, Fernando Del Río
wiley +1 more source
Four scenarios for the transition to spiking activity in a new neuron model [PDF]
Background and Objectives: Understanding the mechanisms underlying the generation of spike activity in neurons is a central problem of modern theoretical neuroscience.
Eremeev, Vladimir P., Osipov, Grigory V.
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Quantum‐Like Dynamics in Whole‐Brain Models of the Human Connectome
Quantum‐like dynamics in the human brain. The level of quantum‐like behavior in a non‐quantum system of coupled oscillators is regulated by the spectral gap of the coupling graph. Whole‐brain modelling using QL fits the empirical data significantly better and has a lower model‐derived energy cost than the non‐QL model.
Gustavo Deco +5 more
wiley +1 more source

