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Dissertations / Theses on the topic 'Nonlinear periodic systems'

Author: Grafiati

Published: 19 October 2024

Last updated: 31 July 2025

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1

Tang, Xiafei. "Periodic disturbance rejection of nonlinear systems." Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/periodic-disturbance-rejection-of-nonlinear-systems(0bddefd9-2750-47fd-8c92-c90a01b8e1ef).html.

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Disturbance rejection is an important topic in control design since disturbances are inevitable in practical systems. To realise this target for nonlinear systems, this thesis brings in an assumption about the existence of a controlled invariant mani- fold and a Desired Feedforward Control (DFC) which is contained in the input to compensate the influence of disturbances. According to the approximation property of Neural Networks (NN) that any periodic signals defined in a compact set can be approximated by NN, the NN-based disturbance approximator is applied to approximate the DFC. Algorithmic

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2

Abd-Elrady, Emad. "Nonlinear Approaches to Periodic Signal Modeling." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4644.

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3

Groves, James O. "Small signal analysis of nonlinear systems with periodic operating trajectories." Diss., This resource online, 1995. http://scholar.lib.vt.edu/theses/available/etd-06062008-162614/.

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4

Zhang, Zhen. "Adaptive robust periodic output regulation." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1187118803.

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5

Khames, Imene. "Nonlinear network wave equations : periodic solutions and graph characterizations." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMIR04/document.

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Dans cette thèse, nous étudions les équations d’ondes non-linéaires discrètes dans des réseaux finis arbitraires. C’est un modèle général, où le Laplacien continu est remplacé par le Laplacien de graphe. Nous considérons une telle équation d’onde avec une non-linéarité cubique sur les nœuds du graphe, qui est le modèle φ4 discret, décrivant un réseau mécanique d’oscillateurs non-linéaires couplés ou un réseau électrique où les composantes sont des diodes ou des jonctions Josephson. L’équation d’onde linéaire est bien comprise en termes de modes normaux, ce sont des solutions périodiques associ

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6

Warkomski, Edward Joseph 1958. "Nonlinear structures subject to periodic and random vibration with applications to optical systems." Thesis, The University of Arizona, 1990. http://hdl.handle.net/10150/277811.

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The methods for analysis of a three degree-of-freedom nonlinear optical support system, subject to periodic and random vibration, are presented. The analysis models were taken from those generated for the dynamic problems related to the NASA Space Infrared Telescope Facility (SIRTF). The models treat the one meter, 116 kilogram (258 pound) primary mirror of the SIRTF as a rigid mass, with elastic elements representing the mirror support structure. Both linear and nonlinear elastic supports are evaluated for the SIRTF. Advanced Continuous Simulation Language (ACSL), a commercially available sof

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7

Zhang, Xiaohong. "Optimal feedback control for nonlinear discrete systems and applications to optimal control of nonlinear periodic ordinary differential equations." Diss., Virginia Tech, 1993. http://hdl.handle.net/10919/40185.

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8

Myers, Owen Dale. "Spatiotemporally Periodic Driven System with Long-Range Interactions." ScholarWorks @ UVM, 2015. http://scholarworks.uvm.edu/graddis/524.

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It is well known that some driven systems undergo transitions when a system parameter is changed adiabatically around a critical value. This transition can be the result of a fundamental change in the structure of the phase space, called a bifurcation. Most of these transitions are well classified in the theory of bifurcations. Among the driven systems, spatiotemporally periodic (STP) potentials are noteworthy due to the intimate coupling between their time and spatial components. A paradigmatic example of such a system is the Kapitza pendulum, which is a pendulum with an oscillating suspensio

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9

Hayward, Peter J. "On the computation of periodic responses for nonlinear dynamic systems with multi-harmonic forcing." Thesis, University of Sussex, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.429733.

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10

Royston, Thomas James. "Computational and Experimental Analyses of Passive and Active, Nonlinear Vibration Mounting Systems Under Periodic Excitation /." The Ohio State University, 1995. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487928649987553.

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11

Fiedler, Robert [Verfasser]. "Numerical analysis of invariant manifolds characterized by quasi-periodic oscillations of nonlinear systems / Robert Fiedler." Kassel : kassel university press c/o Universität Kassel - Universitätsbibliothek, 2021. http://d-nb.info/1239061412/34.

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12

Xu, Yeyin. "STABILITY AND BIFURCATION DYNAMICS OF JOURNAL BEARING ROTOR SYSTEMS." OpenSIUC, 2020. https://opensiuc.lib.siu.edu/dissertations/1835.

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In this dissertation, the mechanical models of 2-DOF and 4-DOF nonlinear journal bearing rotor systems are established. A more accurate model of oil film forces is derived from Reynolds equations. The periodic motions in such nonlinear journal bearing systems are obtained through discrete mapping method. Such a semi-analytical method constructs an implicit discrete mapping structure for periodic motions by discretization of the continuous journal bearing rotor differential equations. Stable and unstable periodic solutions of periodic motions are obtained with prescribed accuracy. The bifurcati

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13

Simonis, Joseph P. "Inexact Newton methods applied to under-determined systems." Link to electronic dissertation, 2006. http://www.wpi.edu/Pubs/ETD/Available/etd-050406-103442/.

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Dissertation (Ph.D.)--Worcester Polytechnic Institute.<br>Keywords: Periodic Solutions, Under-Determined Systems, Continuation, Nonlinear Eigenvalue, Inexact Newton Methods, Newton's Method, Trust Region Methods Includes bibliographical references (p.93-95).

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14

Reichelt, Sina. "Two-scale homogenization of systems of nonlinear parabolic equations." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2015. http://dx.doi.org/10.18452/17385.

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Ziel dieser Arbeit ist es zwei verschiedene Klassen von Systemen nichtlinearer parabolischer Gleichungen zu homogenisieren, und zwar Reaktions-Diffusions-Systeme mit verschiedenen Diffusionslängenskalen und Gleichungen vom Typ Cahn-Hilliard. Wir betrachten parabolische Gleichungen mit periodischen Koeffizienten, wobei die Periode dem Verhältnis der charakteristischen mikroskopischen zu der makroskopische Längenskala entspricht. Unser Ziel ist es, effektive Gleichungen rigoros herzuleiten, um die betrachteten Systeme besser zu verstehen und den Simulationsaufwand zu minimieren. Wir suchen a

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15

Garrione, Maurizio. "Existence and multiplicity of solutions to boundary value problems associated with nonlinear first order planar systems." Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4930.

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The monograph is devoted to the study of nonlinear first order systems in the plane where the principal term is the gradient of a positive and positively 2-homogeneous Hamiltonian (or the convex combination of two of such gradients). After some preliminaries about positively 2-homogeneous autonomous systems, some results of existence and multiplicity of T-periodic solutions are presented in case of bounded or sublinear nonlinear perturbations. Our attention is mainly focused on the occurrence of resonance phenomena, and the corresponding results rely essentially on conditions of Landesman-Laz

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16

Taha, Haithem Ezzat Mohammed. "Mechanics of Flapping Flight: Analytical Formulations of Unsteady Aerodynamics, Kinematic Optimization, Flight Dynamics and Control." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/24428.

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A flapping-wing micro-air-vehicle (FWMAV) represents a complex multi-disciplinary system whose analysis invokes the frontiers of the aerospace engineering disciplines. From the aerodynamic point of view, a nonlinear, unsteady flow is created by the flapping motion. In addition, non-conventional contributors, such as the leading edge vortex, to the aerodynamic loads become dominant in flight. On the other hand, the flight dynamics of a FWMAV constitutes a nonlinear, non-autonomous dynamical system. Furthermore, the stringent weight and size constraints that are always imposed on FWMAVs invoke d

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17

Demiquel, Antoine. "Control of nonlinear modulated waves in flexible mechanical metamaterials." Electronic Thesis or Diss., Le Mans, 2024. https://cyberdoc-int.univ-lemans.fr/Theses/2024/2024LEMA1015.pdf.

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Ce travail est consacré à l'étude des ondes modulées se propageant le long de métamatériaux mécaniques flexibles nonlinéaires (FlexMM). Ces structures sont des matériaux architecturés constitués d'éléments souples très déformables connectés à des éléments plus rigides. Leur capacité à subir de grandes déformations locales favorise l'apparition de phénomènes d'ondes non linéaires. En utilisant une approche par éléments discrets, nous formulons des équations discrètes non linéaires qui décrivent les déplacements longitudinaux et rotationnels de chaque cellule unitaire et leur couplage mutuel. Un

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18

Moussi, El hadi. "Analyse de structures vibrantes dotées de non-linéarités localisées à jeu à l'aide des modes non-linéaires." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4792/document.

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Le travail de cette thèse a été réalisé dans le cadre d'une collaboration entre EDF R&D et le LMA de Marseille (CNRS). Le but était de développer des outils théoriques et numériques pour le calcul de modes non-linéaires de structures industrielles possédant des non-linéarités localisées à jeu. La méthode de calcul utilisée est une combinaison de la méthode d'équilibrage harmonique (EH) et de la méthode asymptotique numérique (MAN), appelée EHMAN. Elle est réputée pour sa robustesse sur les problèmes réguliers. L'enjeu de ce travail de thèse est de l'appliquer sur des problèmes non-régulier

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19

Karkar, Sami. "Méthodes numériques pour les systèmes dynamiques non linéaires : application aux instruments de musique auto-oscillants." Phd thesis, Aix-Marseille Université, 2012. http://tel.archives-ouvertes.fr/tel-00742651.

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Ces travaux s'articulent autour du calcul des solutions périodiques dans les systèmes dynamiques non linéaires, au moyen de méthodes numériques de continuation. La recherche de solutions périodiques se traduit par un problème avec conditions aux limites périodiques, pour lequel nous avons implémenté deux méthodes d'approximation : - Une méthode spectrale dans le domaine fréquentiel : l'équilibrage harmonique d'ordre élevé, qui repose sur une formulation quadratique des équations. Nous proposons en outre une formulation originale permettant d'étendre cette méthode aux cas de non-linéarités non

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20

Banquet, Brango Carlos Alberto. "Existencia e estabilidade de ondas viajantes periodicas para alguns modelos dispersivos." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305952.

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Orientadores: Marcia Assumpção Guimarães Scialom, Jaime Angulo Pava<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-14T19:50:35Z (GMT). No. of bitstreams: 1 BanquetBrango_CarlosAlberto_D.pdf: 1282052 bytes, checksum: f15f0bcd3c49e3ffb900f598aafc2f73 (MD5) Previous issue date: 2009<br>Resumo: O objetivo da tese é estudar algumas propriedades de soluções de equações diferenciais dispersivas. Primeiro, estabelecemos uma teoria de boa colocação local e global para a equação de Benjamin-On

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21

Kyjovský, Adam. "Periodická okrajová úloha v modelování kmitů nelineárních oscilátorů." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417091.

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This master's thesis deals with qualitative analysis of nonlinear differential equations of second order. For autonomous equations some basic notions of Hamiltonian systems (mainly construction of phase portrait) are presented. For non-autonomous equations the method of lower and upper functions for periodic boundary value problem is used. These notions are then applied to a model of mechanical oscillator, a question of existence of solutions to autonomous and non-autonomous nonlinear differential equations is studied.

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22

Hussein, Ahmed Abd Elmonem Ahmed. "Dynamical System Representation and Analysis of Unsteady Flow and Fluid-Structure Interactions." Diss., Virginia Tech, 2018. http://hdl.handle.net/10919/85626.

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A dynamical system approach is utilized to reduce the representation order of unsteady fluid flows and fluid-structure interaction systems. This approach allows for significant reduction in the computational cost of their numerical simulations, implementation of optimization and control methodologies and assessment of their dynamic stability. In the first chapter, I present a new Lagrangian function to derive the equations of motion of unsteady point vortices. This representation is a reconciliation between Newtonian and Lagrangian mechanics yielding a new approach to model the dynamics of the

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23

Dias, Elaine Santos. "Caracterização da região de estabilidade de sistemas dinâmicos discretos não lineares." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/18/18153/tde-21112016-110309/.

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O estudo da região de estabilidade é de extrema importância nas ciências, aplicações em engenharia e nos sistemas de controle não linear. Neste trabalho, uma caracterização completa da região de estabilidade e da fronteira da região de estabilidade de pontos fixos estáveis de uma classe ampla de sistemas dinâmicos discretos não lineares é desenvolvida. Os resultados deste trabalho estendem a caracterização da região de estabilidade já proposta na literatura para uma ampla classe de sistemas, modelados por difeomorfismos e que admitem a presença de órbitas periódicas e pontos fixos na fronteira

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24

Prado, Joaquim Orlando. "Vibrações não lineares em tubulações com fluido em escoamento." Universidade Federal de Goiás, 2013. http://repositorio.bc.ufg.br/tede/handle/tede/6759.

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Submitted by Cássia Santos (cassia.bcufg@gmail.com) on 2017-01-17T12:39:40Z No. of bitstreams: 3 Dissertação - Joaquim Orlando Parada (parte1) - 2013.pdf: 11591347 bytes, checksum: e970b2f0fffd5ccc2222bce05ea90d41 (MD5) Dissertação - Joaquim Orlando Parada (parte 2) - 2013.pdf: 18027973 bytes, checksum: 6bdbe04565ae04f1d810137fc59f37e2 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-01-18T10:31:58Z (GMT) No. of bitstreams: 3 Dissertação - Joaquim Orlando Parada (parte1) - 2013.pdf:

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25

Van, Zyl Gideon Johannes. "The analysis of nonlinear systems driven by almost periodic inputs." Thesis, 2003. http://wwwlib.umi.com/cr/utexas/fullcit?p3116215.

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26

Su, Wei-Jr, and 蘇偉誌. "An Investigation of Nonlinear Periodic Motions for Frictional Systems." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/72970009240586072896.

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碩士<br>國立臺灣科技大學<br>營建工程系<br>96<br>The objective of this thesis is to investigate the nonlinear periodic motions for frictional systems under frequency ratio effects. The Newmark average acceleration method is employed to solve the nonlinear displacement and velocity time histories. Three different frictional restoring force models are considered, restectively the classical friction model,the constant friction model, and the exponential friction model. It is shown that most responses exhibit distinct phase angle differences that are closely related to the ratio of external frequency to the nat

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27

Rudko, Volodymyr. "Nonlinear Periodic Adaptive Control for Linear Time-Varying Plants." Thesis, 2013. http://hdl.handle.net/10012/7775.

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In adaptive control the goal is to deal with systems that have unknown and/or time-varying parameters. Adaptive control techniques have been developed since 1950’s and most results were proven in the cases when the time-variations were non-existent or slow. However the results pertaining to systems with fast time-variations are still limited, in particular, when it comes to plants with unstable zero dynamics. In this work we adopt the controller design technique from the area of gain scheduling, where the time-varying parameter is assumed to be measurable. We propose the design of a nonline

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28

"Stability and Reducibility of Quasi-Periodic Systems." Master's thesis, 2012. http://hdl.handle.net/2286/R.I.15103.

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abstract: In this work, we focused on the stability and reducibility of quasi-periodic systems. We examined the quasi-periodic linear Mathieu equation of the form x ̈+(ä+ϵ[cost+cosùt])x=0 The stability of solutions of Mathieu's equation as a function of parameter values (ä,ϵ) had been analyzed in this work. We used the Floquet type theory to generate stability diagrams which were used to determine the bounded regions of stability in the ä-ù plane for fixed ϵ. In the case of reducibility, we first applied the Lyapunov- Floquet (LF) transformation and modal transformation,

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29

Sukhorukov, Andrey. "Spatial solitons and guided waves in multicomponent and periodic optical systems." Phd thesis, 2002. http://hdl.handle.net/1885/146190.

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30

Mirus, Kevin A. "Control of nonlinear systems using periodic parametric perturbations with applications to a reversed field pinch." 1998. http://catalog.hathitrust.org/api/volumes/oclc/40806623.html.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 1998.<br>Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 13-154).

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31

Bick, Christian. "Chaos and Chaos Control in Network Dynamical Systems." Doctoral thesis, 2012. http://hdl.handle.net/11858/00-1735-0000-000D-F0EE-8.

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32

Chen, Jyong-jhang, and 陳炯彰. "Analysis of nonlinear dynamical system under external periodic drive: synchronization, frequency locking and multi-periodicity." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/f5azjg.

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碩士<br>國立中央大學<br>物理學系<br>104<br>We consider two nonlinear dynamical model(FitzHugh-Nagumo model and phase model) under periodic drive. First,external forcing on excitable FitzHugh-Nagumo (FHN) element in the presence of noise and is investigated as a function of the coupling strength.Periodic forcing of triangle, cosine and square waves are considered. The excitable element can exhibit multiple periodicity in certain range of coupling strengths. Histograms of the inter spike intervals are measured to quantify the weights of different multiple periods and the associated system memory. Second, os

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33

Δερμιτζάκης, Ιωάννης. "Βελτιστοποίηση διεργασιών υπό περιοδική λειτουργία". Thesis, 2009. http://nemertes.lis.upatras.gr/jspui/handle/10889/1776.

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Το Πι-κριτήριο των Bittanti et al. (1973) έχει χρησιμοποιηθεί εκτενώς σε εφαρμογές με στόχο την πρόβλεψη ενδεχόμενης βελτίωσης της απόδοσης ενός μη γραμμικού συστήματος υπό περιοδική είσοδο. Το κριτήριο όμως έχει τοπική ισχύ και περιορίζεται σε περιοδικές διαταραχές μικρού πλάτους. Η παρούσα εργασία αναπτύσσει μια μέθοδο προσδιορισμού διορθώσεων υψηλότερης τάξης στο πι-κριτήριο, προερχόμενη από βασικά αποτελέσματα της θεωρίας κεντρικής πολλαπλότητας (Center Manifold theory). Η προτεινόμενη μέθοδος βασίζεται στην επίλυση της μερικής διαφορικής εξίσωσης της κεντρικής πολλαπλότητας με χρήση δυναμ

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