137 research outputs found
Power law behavior of center-like decaying oscillation: Exponent through Perturbation Theory and Optimization
No full textIn dynamical systems theory, there is a lack of a straightforward rule to distinguish exact center solutions from decaying center-like solutions, as both require the damping force function to be zero (Sarkar et al., 2011; Saha and Gangopadhyay, 2018). By adopting a multi-scale perturbative method, we have demonstrated a general rule for the decaying center-like power law behavior, characterized by an exponent of [Formula presented]. The investigation began with a physical question about the higher-order nonlinearity in a damping force function, which exhibits birhythmic and trirhythmic behavior under a transition to a decaying center-type solution. Using numerical optimization algorithms, we identified the power law exponent for decaying center-type behavior across various rhythmic conditions. For all scenarios, we consistently observed a decaying power law with an exponent of [Formula presented]. Our study aims to elucidate their dynamical differences, contributing to theoretical insights and practical applications where distinguishing between different types of center-like behavior is crucial. This key result would be beneficial for studying the multi-rhythmic nature of biological and engineering systems.SS acknowledges Prof. Gautam Gangopadhyay (SNBNCBS Kolkata), Prof. Deb Shankar Ray (IACS Kolkata), Prof. Jesper. N. Tegnér (KAUST, KSA), Dr. Debasish Mondal (IIT Tirupati), Dr. Pushpita Ghosh (IISER TVM), Prof. Sandip Kar (IIT Bombay), Dr. Somrita Ray (IISER BBSR), Dr. Subhadip Chakraborti (FAU Germany), Prof. Sagar Chakraborty (IIT Kanpur) and Dr. Ankan Pandey for their valuable support and insightful discussions. SS would also like to thank ChatGPT for assisting with language improvements and editing suggestions
Proceedings of the International Conference on Computing and Communication Systems - I3CS 2020, NEHU, Shillong, India
Full text linkThis book contains the latest research work presented at the International Conference on
Computing and Communication Systems (I3CS 2020) held at North-Eastern Hill University
(NEHU), Shillong, India. The book presents original research results, new ideas and practical
development experiences which concentrate on both theory and practices. It includes papers
from all areas of information technology, computer science, electronics and communication
engineering written by researchers, scientists, engineers and scholar students and experts from
India and abroad. The book has 5 sections, namely (i) computational intelligence, (ii)
networking and communication, (iii) computational biology, (iv) security and cryptography and
(v) systems and computing
AMS 4.0: consensus prediction of post-translational modifications in protein sequences
Full text linkChemInform Abstract: Dynamic Heteroleptic Metal‐Phenanthroline Complexes: From Structure to Function
No full textBinarization of Document Images Using Hierarchical Histogram Equalization Technique with Linearly Merged Membership Function
No full textClassical- and Heterodyne-Detected Vibrational Sum Frequency Generation (VSFG) Spectroscopy and Its Application to Soft Interfaces
No full textExtensions of -Fixed Point Results via -Distance
No full textIn this paper, we obtain a -fixed point result concerning -distance. There are three illustrative examples. In a separate section, we compare of the present result with that of the corresponding results prevalent in metric spaces and indicate certain new features obtained using -distance. One such feature is that under certain circumstances, the fixed point can be a point of discontinuity, which is impossible in the metric case. We give an application to non-linear integral equations. The paper ends with a conclusion
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