Singularly Perturbed Boundary-Equilibrium Bifurcations (original) (raw)

Bifurcation diagrams for singularly perturbed system: the multi-dimensional case

Matteo Franca

Electronic Journal of Qualitative Theory of Differential Equations, 2013

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Bifurcation of multi-bump homoclinics in systems with normal and slow variables

Michal Feckan

Electronic Journal of Differential Equations

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Bifurcations of piecewise smooth vector fields via geometric singular perturbations

durval tonon

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2015

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Bifurcations of limit cycles in piecewise smooth Hamiltonian system with boundary perturbation

Krishnat Masalkar

arXiv: Dynamical Systems, 2019

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Bifurcation from degenerate homoclinics in periodically forced systems

Michal Feckan

Discrete and Continuous Dynamical Systems, 1999

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Limit cycles bifurcating from piecewise polynomial perturbations of higher dimensional linear differential systems

Jaume Llibre

2018

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On the Bifurcation of Periodic Orbits in Discontinuous Systems

Michal Feckan

Communications in Mathematical Analysis

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Limit Cycles Bifurcating from Discontinuous Polynomial Perturbations of Higher Dimensional Linear Differential Systems

Jaume Llibre

2018

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Boundary-equilibrium bifurcations in piecewise-smooth slow-fast systems

Paul Glendinning

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2011

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Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations

durval tonon

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011

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On the birth of limit cycles for non–smooth dynamical systems

Jaume Llibre

Bulletin des Sciences Mathématiques, 2014

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Bifurcations at a degenerate two-fold singularity and crossing limit cycles

durval tonon

Journal of Differential Equations, 2019

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Bifurcations of Non Smooth Vector Fields on ^2 by Geometric Singular Perturbations

durval tonon

2011

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Transversal heteroclinic and homoclinic orbits in singular perturbation problems

Peter Szmolyan

Journal of Differential Equations, 1991

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Article Topological Classification of Limit Cycles of Piecewise Smooth Dynamical Systems and Its Associated Non-Standard Bifurcations

Ivan Arango

2014

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Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems

Jaume Llibre

Revista Matemática Iberoamericana, 2019

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Bifurcations of periodics from homoclinics in singular O.D.E.: applications to discretizations of travelling waves of P.D.E

Michal Feckan

Communications on Pure and Applied Analysis, 2002

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Bifurcations and Sequences of Elements in Non-Smooth Systems Cycles

Ivan Arango

American Journal of Computational Mathematics, 2013

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Topological Classification of Limit Cycles of Piecewise Smooth Dynamical Systems and Its Associated Non-Standard Bifurcations

Ivan Arango

Entropy, 2014

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Bifurcations from families of periodic solutions in piecewise differential systems

Jaume Llibre

Physica D: Nonlinear Phenomena, 2020

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Bifurcations of Non Smooth Vector Fields on R2\ R^ 2R2 by Geometric Singular Perturbations

durval tonon

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Scaling in Singular Perturbation Problems: Blowing Up a Relaxation Oscillator

Peter Szmolyan

SIAM Journal on Applied Dynamical Systems, 2011

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Dichotomies and stability in singularly perturbed systems of O.D.E

Flaviano Battelli

Nonlinear Analysis: Theory, Methods & Applications, 1987

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Aspects of Bifurcation Theory for Nonsmooth Dynamical Systems

Hany A. Hosham

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Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators

Ferdinand Verhulst

Arxiv preprint arXiv:0909.4354, 2009

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An alternative approach to study bifurcation from a limit cycle in periodically perturbed autonomous systems

Paolo Nistri

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On the non-autonomous Hopf bifurcation problem: systems with rapidly varying coefficients

Matteo Franca

Electronic Journal of Qualitative Theory of Differential Equations

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A versatile class of prototype dynamical systems for complex bifurcation cascades of limit cycles OPEN

Claudius Gros

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Andronov?Hopf bifurcation in the boundary-value problem for a ?reaction?diffusion? system on an interval

Andrey Shobukhov

Computational Mathematics and Modeling, 1993

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Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations

F. Dumortier

Journal of Differential Equations, 2013

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Periodic solutions for a class of singulary perturbated systems

Paolo Nistri

2007

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Bifurcation from single periodic orbit in discontinuous autonomous systems

Michal Feckan

Applicable Analysis, 2013

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On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry

Enrique Ponce

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010

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Bifurcation of periodic and chaotic solutions in discontinuous systems

Michal Feckan

1998

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Branches of forced oscillations in degenerate systems of second-order ODEs

Marco Spadini

Nonlinear Analysis: Theory, Methods & Applications, 2008

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