Results 21 to 30 of about 1,245,923 (288)
Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilms [PDF]
Royal Society Open Science, 2020 Biofilms offer an excellent example of ecological interaction among bacteria. Temporal and spatial oscillations in biofilms are an emerging topic.
Ravindra Garde +3 more
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A “saddle-node” bifurcation scenario for birth or destruction of a Smale–Williams solenoid [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012 Formation or destruction of hyperbolic chaotic attractor under parameter variation is considered with an example represented by Smale–Williams solenoid in stroboscopic Poincaré map of two alternately excited non-autonomous van der Pol oscillators. The transition occupies a narrow but finite parameter interval and progresses in such way that periodic ...
Isaeva, Olga B. +2 more
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Bifurcation of an Orbit Homoclinic to a Hyperbolic Saddle of a Vector Field in R4
Discrete Dynamics in Nature and Society, 2015 We perform a bifurcation analysis of an orbit homoclinic to a hyperbolic saddle of a vector field in R4. We give an expression of the gap between returning points in a transverse section by renormalizing system, through which we find the existence of ...
Tiansi Zhang, Dianli Zhao
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Four scenarios for the transition to spiking activity in a new neuron model [PDF]
Известия Саратовского университета. Новая серия: ФизикаBackground 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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Helical buckling of thin rods: FE modelling
MATEC Web of Conferences, 2018 In this paper, we utilize the Finite Element (FE) method to model twisting of long thin rods and capture the bifurcation scenarios leading to heli- cal buckling and various further post-buckling states.
Kapitaniak Marcin +2 more
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Control based bifurcation analysis for experiments [PDF]
, 2008 We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear dynamical systems. Our method does not require a mathematical model of the dynamical system nor the ability to set its initial conditions.
Krauskopf, B., Sieber, J.
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Complexity, 2022 Recent studies on remanufacturing duopoly games have handled them as smooth maps and have observed that the bifurcation types that occurred in such maps belong to generic classes like period-doubling or Neimark-Sacker bifurcations.
S. S. Askar, A. Al-khedhairi
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Uniform Approximations for Non-generic Bifurcation Scenarios Including Bifurcations of Ghost Orbits
Annals of Physics, 1999 56 pages, 21 figure, LaTeX2e using amsmath, amssymb, epsfig, and rotating packages.
Bartsch, T., Main, J., Wunner, G.
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 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
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Abstract and Applied Analysis, 2013 Nonlinear dynamics can be used to identify relationships between different firing patterns, which play important roles in the information processing.
Huaguang Gu, Baobao Pan, Jian Xu
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