Results 31 to 40 of about 1,648,544 (312)
Within-burst synchrony changes for coupled elliptic bursters [PDF]
, 2009 We study the appearance of a novel phenomenon for linearly coupled identical bursters: synchronized bursts where there are changes of spike synchrony within each burst. The examples we study are for normal form elliptic bursters where there is a periodic
Ashwin, Peter, Azad, Abul kalam al
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Folded Bifurcation in Coupled Asymmetric Logistic Maps [PDF]
Progress of Theoretical Physics, 1995 A system of coupled two logistic maps, one periodic and the other chaotic, is studied. It is found that with the variation of the coupling strength, the system displays several curious features such as the appearance of quadrupling of period, occurrence of isolated period three attractor and the coexistence of the Hopf and pitchfork bifurcations ...
Midorikawa, Shoichi +2 more
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Degenerate Fold-Hopf Bifurcations in a Rössler-Type System [PDF]
, 2017 We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z, =x ay, =-cz byz, * with b 0. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold--Hopf bifurcation ...
Ciurdariu, Loredana +2 more
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New dynamics in cerebellar Purkinje cells: torus canards [PDF]
, 2008 We describe a transition from bursting to rapid spiking in a reduced mathematical model of a cerebellar Purkinje cell. We perform a slow-fast analysis of the system and find that -- after a saddle node bifurcation of limit cycles -- the full model ...
A. Hodgkin +10 more
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Dynamics of the Vocal Fold Oscillation
Trends 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
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Analysis of stability and bifurcations of limit cycles in Chua's circuit through the harmonic balance approach [PDF]
, 1999 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS: PART
Bonani, Fabrizio, Gilli, Marco
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Bifurcation of self-folded polygonal bilayers
Applied Physics Letters, 2017 Motivated by the self-assembly of natural systems, researchers have investigated the stimulus-responsive curving of thin-shell structures, which is also known as self-folding. Self-folding strategies not only offer possibilities to realize complicated shapes but also promise actuation at small length scales.
Arif M. Abdullah +2 more
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On Hopf and Fold Bifurcations of Jerk Systems
Mathematics, 2023 In this paper we consider a jerk system x˙=y,y˙=z,z˙=j(x,y,z,α), where j is an arbitrary smooth function and α is a real parameter. Using the derivatives of j at an equilibrium point, we discuss the stability of that point, and we point out some local codim-1 bifurcations.
Cristian Lăzureanu, Jinyoung Cho
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Mixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation [PDF]
, 2013 Following the paper of K. Shimizu et al. (2011) we consider the Bonhoeffer-van der Pol oscillator with non-autonomous periodic perturbation. We show that the presence of mixed mode oscillations reported in that paper can be explained using the ...
Kutafina, E.
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Degenerate bifurcation of the rotating patches
, 2015 In this paper we study the existence of doubly-connected rotating patches for Euler equations when the classical non-degeneracy conditions are not satisfied.
Hmidi, Taoufik, Mateu, Joan
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