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

scholarly journals Electrochemical and Spectroelectrochemical Studies on the Reactivity of Perimidine–Carbazole–Thiophene Monomers towards the Formation of Multidimensional Macromolecules versus Stable π-Dimeric States

Materials ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2167
Author(s):  
Malgorzata Czichy ◽  
Patryk Janasik ◽  
Pawel Wagner ◽  
David L. Officer ◽  
Mieczyslaw Lapkowski
Keyword(s):  
Conjugated Polymer ◽  
Density Functional ◽  
Radical Cations ◽  
Covalent Bonding ◽  
Oxidation States ◽  
Solid Product ◽  
Functional Theory ◽  
Subsequent Oxidation ◽  
Molecular Ordering ◽  
Significant Difference

During research on cross-linked conducting polymers, double-functionalized monomers were synthesized. Two subunits potentially able to undergo oxidative coupling were used—perimidine and, respectively, carbazole, 3,6-di(hexylthiophene)carbazole or 3,6-di(decyloxythiophene)carbazole; alkyl and alkoxy chains as groups supporting molecular ordering and 14H-benzo[4,5]isoquinone[2,1-a]perimidin-14-one segment promoting CH⋯O interactions and π–π stacking. Electrochemical, spectroelectrochemical, and density functional theory (DFT) studies have shown that potential-controlled oxidation enables polarization of a specific monomer subunit, thus allowing for simultaneous coupling via perimidine and/or carbazole, but mainly leading to dimer formation. The reason for this was the considerable stability of the dicationic and tetracationic π-dimers over covalent bonding. In the case of perimidine-3,6-di(hexylthiophene)carbazole, the polymer was not obtained due to the steric hindrance of the alkyl substituents preventing the coupling of the monomer radical cations. The only linear π-conjugated polymer was obtained through di(decyloxythiophene)carbazole segment from perimidine-di(decyloxythiophene)-carbazole precursor. Due to the significant difference in potentials between subsequent oxidation states of monomer, it was impossible to polarize the entire molecule, so that both directions of coupling could be equally favored. Subsequent oxidation of this polymer to polarize the side perimidine groups did not allow further crosslinking, because rather the π–π interactions between these perimidine segments dominate in the solid product.

Regulation of external harmonic frequency on the route to chaos

2009 ◽  
Author(s):  
Xuhong Chu ◽  
Yuejin Zhao ◽  
Liquan Dong ◽  
Lingqin Kong
Keyword(s):  
Harmonic Frequency ◽  
Route To Chaos

scholarly journals Measurement and Analysis of the Molecular Ordering Tensors of Two Enantiomers Oriented in a Polypeptide Liquid Crystalline System

1996 ◽  
Vol 100 (34) ◽  
pp. 14569-14569 ◽  
Author(s):  
Philippe Lesot ◽  
Yves Gounelle ◽  
Denis Merlet ◽  
Aharon Loewenstein ◽  
Jacques Courtieu
Keyword(s):  
Liquid Crystalline ◽  
Molecular Ordering ◽  
Measurement And Analysis ◽  
Crystalline System ◽  
Liquid Crystalline System

Influence of holding time on the processes of molecular ordering in a butadiene elastomer

1982 ◽  
Vol 24 (8) ◽  
pp. 1802-1810 ◽  
Author(s):  
N.P. Zoteyev ◽  
G.M. Bartenev ◽  
O.I. Zoteyeva
Keyword(s):  
Holding Time ◽  
Molecular Ordering

Molecular ordering of mixed surfactants in mesoporous silicas: A solid-state NMR study

2011 ◽  
Vol 39 (3-4) ◽  
pp. 65-71 ◽  
Author(s):  
Takeshi Kobayashi ◽  
Kanmi Mao ◽  
Shy-Guey Wang ◽  
Victor S.-Y. Lin ◽  
Marek Pruski
Keyword(s):  
Solid State ◽  
Solid State Nmr ◽  
Mesoporous Silicas ◽  
Mixed Surfactants ◽  
Nmr Study ◽  
Molecular Ordering

Transitions Through Period Doubling Route to Chaos

1991 ◽  
Author(s):  
R. M. Evan-lwanowski ◽  
Chu-Ho Lu
Keyword(s):  
Period Doubling ◽  
Mirror Image ◽  
Flip Flop ◽  
Physical Systems ◽  
Starting Conditions ◽  
Spatial System ◽  
Stationary Bifurcation ◽  
Extreme Sensitivity ◽  
Route To Chaos ◽  
Parameter Values

Abstract The Duffing driven, damped, “softening” oscillator has been analyzed for transition through period doubling route to chaos. The forcing frequency and amplitude have been varied in time (constant sweep). The stationary 2T, 4T… chaos regions have been determined and used as the starting conditions for nonstationary regimes, consisting of the transition along the Ω(t)=Ω0±α2t,f=const., Ω-line, and along the E-line: Ω(t)=Ω0±α2t;f(t)=f0∓α2t. The results are new, revealing, puzzling and complex. The nonstationary penetration phenomena (delay, memory) has been observed for a single and two-control nonstationary parameters. The rate of penetrations tends to zero with increasing sweeps, delaying thus the nonstationary chaos relative to the stationary chaos by a constant value. A bifurcation discontinuity has been uncovered at the stationary 2T bifurcation: the 2T bifurcation discontinuity drops from the upper branches of (a, Ω) or (a, f) curves to their lower branches. The bifurcation drops occur at the different control parameter values from the response x(t) discontinuities. The stationary bifurcation discontinuities are annihilated in the nonstationary bifurcation cascade to chaos — they reside entirely on the upper or lower nonstationary branches. A puzzling drop (jump) of the chaotic bifurcation bands has been observed for reversed sweeps. Extreme sensitivity of the nonstationary bifurcations to the starting conditions manifests itself in the flip-flop (mirror image) phenomena. The knowledge of the bifurcations allows for accurate reconstruction of the spatial system itself. The results obtained may model mathematically a number of engineering and physical systems.

Route to Chaos in a CO2 Laser with Injected Signal

1984 ◽  
pp. 1227-1231 ◽  
Author(s):  
F. T. Arecchi ◽  
G. L. Lippi ◽  
G. Puccioni ◽  
J. Tredicce
Keyword(s):  
Co2 Laser ◽  
Route To Chaos
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