Positron-acoustic traveling waves solutions and quasi-periodic route to chaos in magnetoplasmas featuring Cairns nonthermal distribution

2021 ◽  
Vol 75 (2) ◽  
Author(s):  
B. B. Mouhammadoul ◽  
C. G. L. Tiofack ◽  
A. Alim ◽  
A. Mohamadou
Keyword(s):  
Traveling Waves ◽  
Route To Chaos

scholarly journals DEVELOPING CHAOS ON BASE OF TRAVELING WAVES IN A CHAIN OF COUPLED OSCILLATORS WITH PERIOD-DOUBLING: SYNCHRONIZATION AND HIERARCHY OF MULTISTABILITY FORMATION

2002 ◽  
Vol 12 (08) ◽  
pp. 1895-1907 ◽  
Author(s):  
A. SHABUNIN ◽  
V. ASTAKHOV ◽  
V. ANISHCHENKO
Keyword(s):  
Traveling Waves ◽  
Coherence Function ◽  
Period Doubling ◽  
Spatial Structures ◽  
Transition To Chaos ◽  
Spatial Periodicity ◽  
Route To Chaos ◽  
Analysis Of Dynamics ◽  
A Chain ◽  
Loss Of Coherence

The work is devoted to the analysis of dynamics of traveling waves in a chain of self-oscillators with period-doubling route to chaos. As a model we use a ring of Chua's circuits symmetrically coupled via a resistor. We consider how complicated are temporal regimes with parameters changing influences on spatial structures in the chain. We demonstrate that spatial periodicity exists until transition to chaos through period-doubling and tori birth bifurcations of regular regimes. Temporal quasi-periodicity does not induce spatial quasi-periodicity in the ring. After transition to chaos exact spatial periodicity is changed by the spatial periodicity in the average. The periodic spatial structures in the chain are connected with synchronization of oscillations. For quantity researching of the synchronization we propose a measure of chaotic synchronization based on the coherence function and investigate the dependence of the level of synchronization on the strength of coupling and on the chaos developing in the system. We demonstrate that the spatial periodic structure is completely destroyed as a consequence of loss of coherence of oscillations on base frequencies.

MOLECULAR ORDERING VERSUS ELECTRONIC INSTABILITIES A ROUTE TO CHAOS ?

1983 ◽  
Vol 44 (C3) ◽  
pp. C3-1007-C3-1010 ◽  
Author(s):  
K. Carneiro ◽  
A. E. Underhill
Keyword(s):  
Molecular Ordering ◽  
Route To Chaos

Complex Route to Chaos in Velocity Driven Atoms

1990 ◽  
Author(s):  
Phouc X. Tran ◽  
D. W. Brenner ◽  
C. T. White
Keyword(s):  
Route To Chaos

Double-Diffusive Convection in Traveling Waves in the Iodate−Sulfite System Explained

1996 ◽  
Vol 100 (40) ◽  
pp. 16209-16212 ◽  
Author(s):  
John A. Pojman ◽  
Andrea Komlósi ◽  
Istvan P. Nagy
Keyword(s):  
Traveling Waves ◽  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Double Diffusive

Existence of traveling waves in Fermi–Pasta–Ulam–type systems on a 2D–lattice

2021 ◽  
Vol 252 (4) ◽  
pp. 453-462
Author(s):  
Sergiy Mykolayovych Bak ◽  
Galyna Mykolayivna Kovtonyuk
Keyword(s):  
Traveling Waves ◽  
Type Systems
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