Deterministic Chaos, Bifurcations and Strange Attractors in Nonlinear Dynamics of Relativistic Backward-Wave Tube

Author(s):  
Alexander V. Glushkov ◽  
Andrey V. Tsudik ◽  
Valentin B. Ternovsky ◽  
Dmytro V. Astaykin ◽  
Andrii V. Bondarenko ◽  
...  
1998 ◽  
Vol 41 (12) ◽  
pp. 1061-1065 ◽  
Author(s):  
N. S. Ginzburg ◽  
N. I. Zaitsev ◽  
E. I. Ilyakov ◽  
I. S. Kulagin ◽  
Yu. V. Novozhilova ◽  
...  

1998 ◽  
Vol 24 (5) ◽  
pp. 388-389 ◽  
Author(s):  
I. K. Kurkan ◽  
V. V. Rostov ◽  
E. M. Tot’meninov

2003 ◽  
Vol 29 (6) ◽  
pp. 467-470
Author(s):  
A. E. Khramov

1991 ◽  
Vol 01 (03) ◽  
pp. 549-581 ◽  
Author(s):  
J. P. SEGUNDO ◽  
E. ALTSHULER ◽  
M. STIBER ◽  
A. GARFINKEL

This communication is concerned with an embodiment of periodic nonlinear oscillator driving, the synaptic inhibition of one spike-producing pacemaker neuron by another. Data came from a prototypical living synapse. Analyses centered on a prolonged condition between the transients following the onset and cessation of inhibition. Evaluations were guided by point process mathematics and nonlinear dynamics. A rich and exhaustive list of discharge forms, described precisely and canonically, was observed across different inhibitory rates. Previously unrecognized at synapses, most forms were identified with several well known types from nonlinear dynamics. Ordered by decreasing regularities, they were locked, intermittent (including walk-throughs), messy (including erratic and stammerings) and hopping. Each is discussed within physiological and formal contexts. It is conjectured that (i) locked, intermittent and messy forms reflect limit cycles on 2-tori, quasiperiodic orbits and strange attractors, (ii) noise in neurons hovering around threshold contributes to certain intermittent and stammering behaviors, and (iii) hopping either reflects an attractor with several portions or is nonstationary and noise-induced.


1999 ◽  
Vol 25 (5) ◽  
pp. 388-389 ◽  
Author(s):  
M. I. Yalandin ◽  
V. G. Shpak ◽  
S. A. Shunaĭlov ◽  
M. R. Ul’maskulov

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