TY  - JOUR
A1  - Stefanakis, Nikolaos
A1  - Abel, Markus
A1  - Bergner, Andre
T1  - Sound Synthesis Based on Ordinary Differential Equations
JF  - Computer music journal
N2  - Ordinary differential equations (ODEs) have been studied for centuries as a means to model complex dynamical processes from the real world. Nevertheless, their application to sound synthesis has not yet been fully exploited. In this article we present a systematic approach to sound synthesis based on first-order complex and real ODEs. Using simple time-dependent and nonlinear terms, we illustrate the mapping between ODE coefficients and physically meaningful control parameters such as pitch, pitch bend, decay rate, and attack time. We reveal the connection between nonlinear coupling terms and frequency modulation, and we discuss the implications of this scheme in connection with nonlinear synthesis. The ability to excite a first-order complex ODE with an external input signal is also examined; stochastic or impulsive signals that are physically or synthetically produced can be presented as input to the system, offering additional synthesis possibilities, such as those found in excitation/filter synthesis and filter-based modal synthesis.
Y1  - 2015
U6  - https://doi.org/10.1162/COMJ_a_00314
SN  - 0148-9267
SN  - 1531-5169
VL  - 39
IS  - 3
SP  - 46
EP  - 58
PB  - MIT Press
CY  - Cambridge
ER  - 
TY  - JOUR
A1  - Winkler, Michael
A1  - Abel, Markus
T1  - Small- and large-scale characterization and mixing properties in a thermally driven thin liquid film
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We study aqueous, freestanding, thin films stabilized by a surfactant with respect to mixing and dynamical systems properties. With this special setup, a two-dimensional fluid can be realized experimentally. The physics of the system involves a complex interplay of thermal convection and interface and gravitational forces. Methodologically, we characterize the system using two classical dynamical systems properties: Lyapunov exponents and entropies. Our experimental setup produces convection with two stable eddies by applying a temperature gradient in one spot that yields weakly turbulent mixing. From dynamical systems theory, one expects a relation of entropies, Lyapunov exponents, a prediction with little experimental support. We can confirm the corresponding statements experimentally, on different scales using different methods. On the small scale the motion and deformation of fluid filaments of equal size (color imaging velocimetry) are used to compute Lyapunov exponents. On the large scale, entropy is computed by tracking the left-right motion of the center fluid jet at the separatrix between the two convection rolls. We thus combine here dynamical systems methods with a concrete application of mixing in a nanoscale freestanding thin film.
Y1  - 2015
U6  - https://doi.org/10.1103/PhysRevE.92.063002
SN  - 1539-3755
SN  - 1550-2376
VL  - 92
IS  - 6
PB  - American Physical Society
CY  - College Park
ER  - 
TY  - JOUR
A1  - Parezanovic, Vladimir
A1  - Laurentie, Jean-Charles
A1  - Fourment, Carine
A1  - Delville, Joel
A1  - Bonnet, Jean-Paul
A1  - Spohn, Andreas
A1  - Duriez, Thomas
A1  - Cordier, Laurent
A1  - Noack, Bernd R.
A1  - Abel, Markus
A1  - Segond, Marc
A1  - Shaqarin, Tamir
A1  - Brunton, Steven L.
T1  - Mixing layer manipulation experiment from open-loop forcing to closed-loop machine learning control
JF  - Flow, turbulence and combustion : an international journal published in association with ERCOFTAC
KW  - Shear flow
KW  - Turbulence
KW  - Active flow control
KW  - Extremum seeking
KW  - POD
KW  - Machine learning
KW  - Genetic programming
Y1  - 2015
U6  - https://doi.org/10.1007/s10494-014-9581-1
SN  - 1386-6184
SN  - 1573-1987
VL  - 94
IS  - 1
SP  - 155
EP  - 173
PB  - Springer
CY  - Dordrecht
ER  -