Dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 The subject of this work is the study of local dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings. From a discrete model describing the dynamics of a great number of coupled oscillators, a transition has been
Kashchenko, Sergej Aleksandrovich
doaj +1 more source
Geometry and integrability of quadratic systems with invariant hyperbolas
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Let QSH be the family of non-degenerate planar quadratic differential systems possessing an invariant hyperbola. We study this class from the viewpoint of integrability.
Regilene Oliveira +2 more
doaj +1 more source
Bursting Dynamics in a Singular Vector Field with Codimension Three Triple Zero Bifurcation
Mathematics, 2023 As a kind of dynamical system with a particular nonlinear structure, a multi-time scale nonlinear system is one of the essential directions of the current development of nonlinear dynamics theory.
Weipeng Lyu +3 more
doaj +1 more source
Normal form maps for grazing bifurcations in n-dimensional piecewise-smooth dynamical systems [PDF]
Physica D: Nonlinear Phenomena, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Di Bernardo, M, Budd, C, Champneys, AR
openaire +3 more sources
Further Reductions of Normal Forms for Dynamical Systems
Journal of Differential Equations, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Guoting, Della Dora, Jean
openaire +2 more sources
Nonlinear Modal Decoupling of Multi-Oscillator Systems With Applications to Power Systems
IEEE Access, 2018 Many natural and manmade dynamical systems that are modeled as large nonlinear multi-oscillator systems like power systems are hard to analyze. For such systems, we propose a nonlinear modal decoupling (NMD) approach inversely constructing as many ...
Bin Wang, Kai Sun, Wei Kang
doaj +1 more source
Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt
Abstract and Applied Analysis, 2014 This paper is concerned with the computation of the normal form and its application to a viscoelastic moving belt. First, a new computation method is proposed for significantly refining the normal forms for high-dimensional nonlinear systems.
S. P. Chen, Y. H. Qian
doaj +1 more source
Normal forms and invariant geometric structures for dynamical systems with invariant contracting foliations [PDF]
Mathematical Research Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guysinsky, M., Katok, A.
openaire +2 more sources
An Algorithm for Computing a New Normal Form for Dynamical Systems
Journal of Symbolic Computation, 2000 Autonomous dynamical systems \(\dot{x}=F(x)\) are considered, with \(x\in \mathbb{R}^n\), \(F(x)\) is a vector whose components are formal power series and \(F(0)=0\). A new formal normal form for system (1) is proposed which improves the classical normal forms in the sense that it is a further reduction of the classical normal forms.
Chen, Guoting, Della Dora, Jean
openaire +2 more sources
Some results on the dynamics generated by the Bazykin model
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2006 A predator-prey model formerly proposed by A. Bazykin et al. [Bifurcation diagrams of planar dynamical systems (1985)] is analyzed in the case when two of the four parameters are kept fixed.
Georgescu, R M, Georgescu, A
doaj +1 more source