Special Sessionss

1) Title: Measuring the algorithmic component of Functional User Requirements.

Organizer-Chairman: Roberto Meli (DPO Srl)

Aim: Functional User Requirements (FUR), as defined by ISO 14143 standard, are composed by data movement requirements (data flows), data storage requirements (persistent storage) and data manipulation requirements (processing logic). At the moment, no standardized Functional Size Measurement Method (FSMM) is capable to capture in numbers the algorithmic component of the FURs. There are two dimensions of processing logic that are needed to be measured: the algorithms “extension” (length, number of steps…) and complexity (structure and relations among parts). These two attributes may be measured automatically with a certain precision when the software has been built. But a way of assessing the processing logic size at the requirements level would really be of great value for the management of the production processes. Any measurement approach should be integrated with the data movement and data storage measurement in order to be effective. Research ideas, experiments, approaches are welcome.

- Algorithm’s classification
- Algorithm’s sizing
- Empirical approaches
- Extension size
- Complexity size
- Integration / combination of measures

2) Title: Fractal Spacetime and Vibration in a Fractal Space

Organizer-Chairman: Ji-HUan He, Soochow University, China, Email: hejihuan@suda.edu.cn

Aim: Any vibrations happen in a medium, for an example, a string in air, an earthquake beneath the Earth. The previous study was always assumed the medium was a continuum, so we can not study, for example, the effect of molecule size or molecule distribution of air on the vibration properties of a spring. To overcome this shortcoming, we should consider the medium as a fractal space, and the vibration problem can be modelled as either a fractional vibration or an oscillator with fractal derivatives. The fractal modification can explain many phenomena which can never be done by the traditional differential models, by suitable control of the value of the fractional order, the vibration properties can be artificially controlled.
This symposium aims to report on state of the art analytical techniques for nonlinear vibrations with fractional derivatives or fractal derivatives for practical applications. The collection will specifically focus on the phenomena of nonlinear vibration in a porous medium and its main vibration properties.

- Mathematical models for vibration in a porous medium, e.g., the packing system.
- Fractal packing system with zero loading velocity.
- Fractal calculus/fractional calculus for a nonlinear vibration problem in a porous medium or on a non-smooth surface.
- Fractal variational principle for a nonlinear vibration problem with fractal derivatives.
- Optimal control of system governed by nonlinear vibration equations with fractal or fractional derivatives
- Advanced musical instruments considering fractal boundary of the concert hall and air density and temperature.
- Fractal isolation theory and aseismic design of buildings or bridges.
- Fractal coastal protection for periodic waves
- Low frequency vibration in life.
- Vibration problems arising in nano/micro devices.