نتایج جستجو برای: generalized kuramoto

تعداد نتایج: 166943  

Journal: :caspian journal of mathematical sciences 2014
a. davari m. torabi

we show how daubechies wavelets are used to solve kuramoto-sivashinsky type equations with periodic boundary condition‎. ‎wavelet bases are used for numerical solution of the kuramoto-sivashinsky type equations by galerkin method‎. ‎the numerical results in comparison with the exact solution prove the efficiency and accuracy of our method‎.

Journal: :Journal of Differential Equations 2021

A Hopf bifurcation in the Kuramoto-Daido model is investigated based on generalized spectral theory and center manifold reduction for a certain class of frequency densities. The dynamical system order parameter four-dimensional derived. It shown that undergoes as coupling strength increases, which proves existence periodic two-cluster state oscillators.

Journal: :Kinetic and Related Models 2023

<p style='text-indent:20px;'>In this paper, we introduce a generalized Kuramoto model and provide several sufficient conditions leading to asymptotic phase-locking. The proposed incorporates relativistic type models which can be derived from the Cucker-Smale (RCS) on unit sphere via suitable approximations. For phase-locking, present frameworks complete synchronization in terms of initial...

We show how Daubechies wavelets are used to solve Kuramoto-Sivashinsky type equations with periodic boundary condition‎. ‎Wavelet bases are used for numerical solution of the Kuramoto-Sivashinsky type equations by Galerkin method‎. ‎The numerical results in comparison with the exact solution prove the efficiency and accuracy of our method‎.    

2015
Hiroshi Gotoda Marc Pradas Serafim Kalliadasis

We study the emergence of pattern formation and chaotic dynamics in the one-dimensional (1D) generalized Kuramoto-Sivashinsky (gKS) equation by means of a time-series analysis, in particular a nonlinear forecasting method which is based on concepts from chaos theory and appropriate statistical methods. We analyze two types of temporal signals, a local one and a global one, finding in both cases...

2015
Shusuke Yagi Ken-ichi Aihara Daiju Fukuda Akira Takashima Mika Bando Tomoya Hara Sachiko Nishimoto Takayuki Ise Kenya Kusunose Koji Yamaguchi Takeshi Tobiume Takashi Iwase Hirotsugu Yamada Takeshi Soeki Tetsuzo Wakatsuki Michio Shimabukuro Masashi Akaike Masataka Sata

Author details Department of Cardiovascular Medicine, Institute of Biomedical Sciences, Tokushima University Graduate School, 3-18-15, Kuramoto, Tokushima 770-8503, Japan. Department of Hematology, Endocrinology and Metabolism, Institute of Biomedical Sciences, Tokushima University Graduate School, 3-18-15, Kuramoto, Tokushima 770-8503, Japan. Department of Nutrition and Metabolism, Institute o...

Journal: :I. J. Bifurcation and Chaos 2015
Hiroshi Gotoda Marc Pradas Serafim Kalliadasis

Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online's data policy on reuse of materials please consult the policies page. We study the emergence of pattern formation and chaotic dynamics in the one-dimensional (1D) generalized Kuramoto-Sivashinsky (gKS) equation by means of a ...

Journal: :Discrete and Continuous Dynamical Systems-series B 2022

<p style='text-indent:20px;'>In this paper, we are concerned with the existence of solitary waves for a generalized Kawahara equation, which is model equation describing solitary-wave propagation in media. We obtain some qualitative properties equilibrium points and results wave solutions without delay perturbation by employing phase space analysis. Furthermore two types special convoluti...

Journal: :SIAM J. Applied Dynamical Systems 2011
Florian Dörfler Francesco Bullo

The celebrated Kuramoto model captures various synchronization phenomena in biological and man-made dynamical systems of coupled oscillators. It is well-known that there exists a critical coupling strength among the oscillators at which a phase transition from incoherency to synchronization occurs. This paper features four contributions. First, we characterize and distinguish the different noti...

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