PLANAR PSEUDO-ALMOST LIMIT CYCLES AND APPLICATIONS TO SOLITARY WAVES

PLANAR PSEUDO-ALMOST LIMIT CYCLES AND APPLICATIONS TO SOLITARY WAVES

We investigate the existence of pseudo-almost limit cycles, a new class of non-periodicity at the interface of the theories of limit cycles and pseudo-almost periodicity. We determine the conditions of existence for several systems including some pseudo-almost periodic perturbations of the harmonic...

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Autor principal: Toni,Bourama
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:
Limit cycles
Almost and pseudo-almost periodic orbits
Periodic waves
Isochronous systems and Isochrons
Liénard systems
Hyperbolic and parabolic equations
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100009
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spelling oai:scielo:S0719-064620130001000092018-10-08PLANAR PSEUDO-ALMOST LIMIT CYCLES AND APPLICATIONS TO SOLITARY WAVESToni,Bourama Limit cycles Almost and pseudo-almost periodic orbits Periodic waves Isochronous systems and Isochrons Liénard systems Hyperbolic and parabolic equations We investigate the existence of pseudo-almost limit cycles, a new class of non-periodicity at the interface of the theories of limit cycles and pseudo-almost periodicity. We determine the conditions of existence for several systems including some pseudo-almost periodic perturbations of the harmonic oscillator and the renowned Liénard systems. We apply to derive the existence of pseudo-almost periodic solitary waves by perturbing first then transforming some hyperbolic and parabolic partial differential equations to Liénard-type equations. Included also are open questions on the co-existence of limit cycles and strictly pseudo-almost periodic limit cycles partitioning the phase space, and the existence of isochronous pseudo-almost limit cycles.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.1 20132013-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100009en10.4067/S0719-06462013000100009
institution Scielo Chile
collection Scielo Chile
language English
topic Limit cycles
Almost and pseudo-almost periodic orbits
Periodic waves
Isochronous systems and Isochrons
Liénard systems
Hyperbolic and parabolic equations
spellingShingle Limit cycles
Almost and pseudo-almost periodic orbits
Periodic waves
Isochronous systems and Isochrons
Liénard systems
Hyperbolic and parabolic equations
Toni,Bourama
PLANAR PSEUDO-ALMOST LIMIT CYCLES AND APPLICATIONS TO SOLITARY WAVES
description We investigate the existence of pseudo-almost limit cycles, a new class of non-periodicity at the interface of the theories of limit cycles and pseudo-almost periodicity. We determine the conditions of existence for several systems including some pseudo-almost periodic perturbations of the harmonic oscillator and the renowned Liénard systems. We apply to derive the existence of pseudo-almost periodic solitary waves by perturbing first then transforming some hyperbolic and parabolic partial differential equations to Liénard-type equations. Included also are open questions on the co-existence of limit cycles and strictly pseudo-almost periodic limit cycles partitioning the phase space, and the existence of isochronous pseudo-almost limit cycles.
author Toni,Bourama
author_facet Toni,Bourama
author_sort Toni,Bourama
title PLANAR PSEUDO-ALMOST LIMIT CYCLES AND APPLICATIONS TO SOLITARY WAVES
title_short PLANAR PSEUDO-ALMOST LIMIT CYCLES AND APPLICATIONS TO SOLITARY WAVES
title_full PLANAR PSEUDO-ALMOST LIMIT CYCLES AND APPLICATIONS TO SOLITARY WAVES
title_fullStr PLANAR PSEUDO-ALMOST LIMIT CYCLES AND APPLICATIONS TO SOLITARY WAVES
title_full_unstemmed PLANAR PSEUDO-ALMOST LIMIT CYCLES AND APPLICATIONS TO SOLITARY WAVES
title_sort planar pseudo-almost limit cycles and applications to solitary waves
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2013
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100009
work_keys_str_mv AT tonibourama planarpseudoalmostlimitcyclesandapplicationstosolitarywaves
_version_ 1714206782088282112

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