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[CT054]

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : In this study, we introduce the periodic and symmetric properties of the states in a class of weakly singular integral equations. Motivation of this paper is based on the main results of previous paper: bounded forces produce bounded states in the infinite field. We furthermore observed that in finite times, steady states show. For each periodicity, two kinds of initial conditions apply: one is same as the original one, the other is the steady state from previous period. For symmetry, we apply same magnitudes of forces but opposite directions.
Classification : 37Mxx, 31Axx, 33Exx
Author(s) :
- Shihchung Chiang (Chung Hua University)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : Standard data-driven techniques for learning dynamical systems struggle when observational data has been sampled slowly and state derivatives cannot be accurately estimated. To address this challenge, we assume that the available measurements reliably describe the asymptotic statistics of the dynamical process in question, and we instead treat invariant measures as inference data. We reformulate the velocity learning as a PDE constrained optimization and present several numerical examples to demonstrate the effectiveness of the proposed approach.
Classification : 37Mxx, 37Axx
Author(s) :
- Jonah Botvinick-Greenhouse (Cornell University)
- Yunan Yang (ETH Zürich)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : Interconnected networks characterized by interacting agents can be represented by weighted graphs, with the weight indicating their connection strength. Graph clustering arises naturally in these networks to assist decision making and co-ordination. Among the clustering methods, spectral clustering has emerged as a powerful tool but suffers from slow convergence for large dynamic graphs. Thus, we propose a fast incremental approach for dynamic graphs as an extension of its equivalent decentralized approach based on wave propagation.
Classification : 37Mxx, 05Cxx, 65Fxx
Author(s) :
- Hongyu Zhu (Raytheon Technologies Research Center)
- Hongyu Zhu (Raytheon Technologies Research Center)
- Tuhin Sahai (Raytheon Technologies Research Center)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : Predicting and controlling oscillatory systems, despite its relevance, is still an unachieved goal. A simplification method to ease this task is phase reduction, a dimensional reduction scheme that capture the dynamics of each oscillator in just one variable -the phase-. Despite phase reduction importance, analytical results are only available for systems with polar symmetry. In this talk we show how to perform analytical phase reduction on non-symmetric oscillators.
Classification : 37Mxx, 37Nxx
Author(s) :
- Ivan Leon (Tokyo Tech Institute of Technology)
- Hiroya Nakao (Tokyo Tech Institute of Technology)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : We present, in this talk, an alternative version of convolution and duality formula and we give some results on functions and dsitribution spaces for the general double-sided orthogonal planes split quaternion Fourier transform. We provide the discrete representation of Z2−periodic function for continuous quaternion Wavelet transform. Finally we prove the Plancherel and inversion formulas for the continuous general double-sided orthogonal 2D−planes split quaternionic Wavelet transform.
Classification : 42A38, 42C40, 46F12
Author(s) :
- Hakim MONAIM (Moulay Ismail University)