scholarly journals Dynamical localization of chaotic eigenstates in the mixed-type systems: spectral statistics in a billiard system after separation of regular and chaotic eigenstates

2013 ◽  
Vol 46 (31) ◽  
pp. 315102 ◽  
Author(s):  
Benjamin Batistić ◽  
Marko Robnik
Keyword(s):  
Mixed Type ◽  
Type Systems ◽  
Dynamical Localization ◽  
Billiard System ◽  
Spectral Statistics

scholarly journals Spectral statistics in an open parametric billiard system

2006 ◽  
Vol 73 (3) ◽  
Author(s):  
B. Dietz ◽  
A. Heine ◽  
A. Richter ◽  
O. Bohigas ◽  
P. Leboeuf
Keyword(s):  
Billiard System ◽  
Spectral Statistics

Numeric-analytic solutions of mixed-type systems of balance laws

2015 ◽  
Vol 265 ◽  
pp. 133-143 ◽  
Author(s):  
Emad A. Az-Zo'bi ◽  
Kamal Al Dawoud ◽  
Mohammad Marashdeh
Keyword(s):  
Mixed Type ◽  
Type Systems ◽  
Analytic Solutions ◽  
Balance Laws ◽  
Systems Of Balance Laws

LAX SHOCKS IN MIXED-TYPE SYSTEMS OF CONSERVATION LAWS

2008 ◽  
Vol 05 (02) ◽  
pp. 295-315 ◽  
Author(s):  
ALEXEI A. MAILYBAEV ◽  
DAN MARCHESIN
Keyword(s):  
Conservation Laws ◽  
Small Amplitude ◽  
Mixed Type ◽  
Elliptic Boundary ◽  
Type Systems ◽  
Exceptional Point ◽  
Riemann Solutions ◽  
Flux Function ◽  
Systems Of Conservation Laws ◽  
Elliptic Region

Small amplitude shocks involving a state with complex characteristic speeds arise in mixed-type systems of two or more conservation laws. We study such shocks in detail in the generic case, when they appear near the codimension-1 elliptic boundary. Then we classify all exceptional codimension-2 states on smooth parts of the elliptic boundary. Asymptotic formulae describing shock curves near regular and exceptional states are derived. The type of singularity at the exceptional point depends on the second and third derivatives of the flux function. The main application is understanding the structure of small amplitude Riemann solutions where one of the initial states lies in the elliptic region.

Junction characteristics of energy wave methods

1997 ◽  
Vol 211 (1) ◽  
pp. 25-35 ◽  
Author(s):  
T Chen ◽  
R F Boucher
Keyword(s):  
Mixed Type ◽  
Constitutive Relations ◽  
Type Systems ◽  
The Other ◽  
Careful Selection ◽  
Physical Systems ◽  
Scattering Coefficients ◽  
Wave Methods ◽  
System Topology ◽  
Selection Of

Physical dynamical systems may be modelled by connecting wave-transmitting elements using junctions that depict the relations of energy transmission. Elements transmit wave energy from one end to the other end and junctions reallocate energy to those attached elements. The scattering coefficients of junctions may be derived by satisfying the continuity constitutive relations and energy conservations. The scattering coefficients expressed in general forms of 13 different junctions demonstrated in this paper permit systems with multiple energy domains to be modelled and are applicable to modelling distributed, lumped and mixed type systems. Careful selection of the correct types of junctions and construction of the system topology are keys to successfully modelling physical systems.

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