Results 41 to 50 of about 1,473,692 (365)
The American Mathematical Monthly, 1920 Mode of access: Internet.
Moulton, Forest Ray, 1872-1952. +5 more
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Periodic orbits of period 3 in the disc [PDF]
Nonlinearity, 1994 Let f be an orientation preserving homeomorphism of the disc D2 which possesses a periodic point of period 3. Then either f is isotopic, relative the periodic orbit, to a homeomorphism g which is conjugate to a rotation by 2 pi /3 or 4 pi /3, or f has a periodic point of least period n for each n in N*.
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Piecewise expanding maps: combinatorics, dynamics and representation of rational numbers
ESAIM: Proceedings and Surveys, 2014 We establish combinatorial properties of the dynamics of piecewise increasing, continuous, expanding maps of the interval such as description of periodic and pre-periodic points, primitiveness of truncated itineraries and length of ...
Serpa Cristina, Buescu Jorge
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Bifurcation of big periodic orbits through symmetric homoclinics, application to Duffing equation [PDF]
Journal of Mahani Mathematical Research, 2023 We consider a planar symmetric vector field that undergoes a homoclinic bifurcation. In order to study the existence of exterior periodic solutions of the vector field around broken symmetric homoclinic orbits, we investigate the existence of fixed ...
Liela Soleimani, Omid RabieiMotlagh
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Periodic orbits in the logarithmic potential [PDF]
Astronomy & Astrophysics, 2008 Analytic methods to investigate periodic orbits in galactic potentials. To evaluate the quality of the approximation of periodic orbits in the logarithmic potential constructed using perturbation theory based on Hamiltonian normal forms. The solutions of the equations of motion corresponding to periodic orbits are obtained as series expansions computed
PUCACCO, GIUSEPPE +2 more
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Use of Harmonic Inversion Techniques in the Periodic Orbit Quantization of Integrable Systems
, 2000 Harmonic inversion has already been proven to be a powerful tool for the analysis of quantum spectra and the periodic orbit orbit quantization of chaotic systems. The harmonic inversion technique circumvents the convergence problems of the periodic orbit
Main, J., Weibert, K., Wunner, G.
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Orbit Growth of Periodic-Finite-Type Shifts via Artin–Mazur Zeta Function
Mathematics, 2020 The prime orbit and Mertens’ orbit counting functions describe the growth of closed orbits in a discrete dynamical system in a certain way. In this paper, we prove the asymptotic behavior of these functions for a periodic-finite-type shift.
Azmeer Nordin, Mohd Salmi Md Noorani
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Generic Morse-Smale property for the parabolic equation on the circle [PDF]
, 2010 In this paper, we show that, for scalar reaction-diffusion equations $u_t=u_{xx}+f(x,u,u_x)$ on the circle $S^1$, the Morse-Smale property is generic with respect to the non-linearity $f$.
Agmon +60 more
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Bifurcations of Nontwisted Heteroclinic Loop with Resonant Eigenvalues
The Scientific World Journal, 2014 By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local coordinate systems in the small tubular neighborhoods of the heteroclinic orbits, we study the ...
Yinlai Jin +5 more
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