Observer Design for Nonlinear Dynamical Systems: Differential geometric methods
Lecture notes in control and information sciences, 2021 International audienceThis book presents a differential geometric method for designing nonlinear observers for multiple types of nonlinear systems, including single and multiple outputs, fully and partially observable systems, and regular and singular ...
Boutat, Driss, Zheng, Gang
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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
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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
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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
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Computing normal forms and formal invariants of dynamical systems by means of word series [PDF]
, 2015 We show how to use extended word series in the reduction of continuous and discrete dynamical systems to normal form and in the computation of formal invariants of motion in Hamiltonian systems.
A. Murua, J. Sanz-Serna
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Bifurcations of dynamical systems with sliding: derivation of normal-form mappings [PDF]
Physica D: Nonlinear Phenomena, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DI BERNARDO, MARIO +2 more
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Analysis of dynamical systems via normal forms [PDF]
, 2015 Desde hace muchos años los problemas de la dinámica han sido objeto de estudio por científicos de distintas épocas. Podemos decir que los sistemas dinámicos se ocupan del estudio de los modelos de evolución de los sistemas en un cierto espacio (espacio de fases).
Fuentes Díaz, Natalia
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An upper bound for validity limits of asymptotic analytical approaches based on normal form theory [PDF]
, 2012 Perturbation methods are routinely used in all fields of applied mathematics where analytical solutions for nonlinear dynamical systems are searched.
LAMARQUE, Claude-Henri +2 more
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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
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Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps [PDF]
, 2014 We derive simplified normal forms for an area-preserving map in a neighbourhood of a degenerate resonant elliptic fixed point. Such fixed points appear in generic families of area-preserving maps. We also derive a simplified normal form for a generic two-
Gelfreikh, Natalia, Gelfreich, Vassili
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