Results 11 to 20 of about 159,573 (229)
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
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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
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Development of bipedal and quadrupedal locomotion in humans from a dynamical systems perspective [PDF]
, 2012 The first phase in the development 0f locomotion, pr,öary variability would occur in normal fetuses and infants, and those with Uner Tan syndrome. The neural networks for quadrupedal locomotion have apparently been transmitted epigenetically through many
Tan, Prof. Dr. Uner
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Self-similar cuspidal formation by runaway thermocapillary forces in thin liquid films
New Journal of Physics, 2019 Many physical systems give rise to dynamical behavior leading to cuspidal shapes which represent a singularity of the governing equation. The cusp tip often exhibits self-similarity as well, indicative of scaling symmetry invariant in time up to a change
Chengzhe Zhou, Sandra M Troian
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Single-Mode and Dual-Mode Nongomogeneous Dissipative Structures in the Nonlocal Model of Erosion
Моделирование и анализ информационных систем, 2015 We consider a periodic boundary-value problem for a nonlinear equation with the deviating spatial argument in the case when the deviation is small. This equation is called a spatially nonlocal erosion equation.
A. M. Kovaleva, D. A. Kulikov
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Introduction to bifurcation-theory [PDF]
, 1991 The theory of bifurcation from equilibria based on center-manifold reductio, and Poincare-Birkhoff normal forms is reviewed at an introductory level. Both differential equations and maps are discussed, and recent results explaining the symmetry of the ...
Crawford, J. D.
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Physical Review Special Topics. Accelerators and Beams, 2013 We present a mathematical analysis of planar motion of energetic electrons moving through a planar dipole undulator, excited by a fixed planar polarized plane wave Maxwell field in the x-ray free electron laser (FEL) regime.
James A. Ellison +3 more
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Post-Double Hopf Bifurcation Dynamics and Adaptive Synchronization of a Hyperchaotic System [PDF]
, 2012 In this paper a four-dimensional hyperchaotic system with only one equilibrium is considered and its double Hopf bifurcations are investigated. The general post-bifurcation and stability analysis are carried out using the normal form of the system ...
Choudhury, Sudipto R., Gambino, Gaetana
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Poincare' normal forms and simple compact Lie groups
, 2001 We classify the possible behaviour of Poincar\'e-Dulac normal forms for dynamical systems in $R^n$ with nonvanishing linear part and which are equivariant under (the fundamental representation of) all the simple compact Lie algebras and thus the ...
Belitskii G. R. +7 more
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Asymptotically constrained and real-valued system based on Ashtekar's variables [PDF]
, 1999 We present a set of dynamical equations based on Ashtekar's extension of the Einstein equation. The system forces the space-time to evolve to the manifold that satisfies the constraint equations or the reality conditions or both as the attractor against ...
A. Ashtekar +13 more
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