SU\G(𝔾)/K·U
Mathematics â€ș Geometry and Topology

Advanced Differential Equations and Dynamical Systems

Works Count: 45579

Description

This cluster of papers focuses on the study of bifurcations in planar polynomial systems, particularly emphasizing piecewise linear structures, limit cycles, Hopf bifurcations, discontinuous systems, nilpotent singularities, Darboux integrability, and Abelian integrals.

Keywords

Bifurcations; Planar Systems; Piecewise Linear; Limit Cycles; Polynomial Vector Fields; Hopf Bifurcation; Discontinuous Systems; Nilpotent Singularity; Darboux Integrability; Abelian Integrals

Most Cited Works

Action Title Date Authors
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Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires 1981-01-01 Jean-Michel Bony
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Potential theory in modern function theory 1959-01-01 æ­ŁæŹĄ 蟻
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Stability of Dynamical Systems 2018-07-28 Nivaldo A. Lemos̀
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Qualitative Theory of Planar Differential Systems 2006-01-01 Freddy Dumortier Joan Carles Artés Ferragud Jaume Llibre
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Theory and applications of Hopf bifurcation 1981-01-01 Brian Hassard Nicholas D. Kazarinoff Yujie Wan
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Applications of Centre Manifold Theory. 1979-06-01 Jack Carr
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Operateurs Maximaux Monotones - Et Semi-Groupes De Contractions Dans Les Espaces De Hilbert 1973-01-01 Haïm Brézis
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Control Theory from the Geometric Viewpoint 2004-01-01 Andrei Agrachev Yuri L. Sachkov
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Elements of Applied Bifurcation Theory 2004-01-01 Yuri A. Kuznetsov
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Zeta functions and the periodic orbit structure of hyperbolic dynamics 1990-01-01 William Parry Mark Pollicott
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Isolated Invariant Sets and the Morse Index 1978-12-31 Charles C. Conley
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Nonlinear Control Systems 1989-01-01 Alberto Isidori
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Singularities and Groups in Bifurcation Theory 1988-01-01 Martin Golubitsky Ian Stewart David G. Schaeffer
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Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I 1964-01-01 Heisuke Hironaka
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Entropy for group endomorphisms and homogeneous spaces 1971-01-01 Rufus Bowen
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Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application 1980-03-01 Giancarlo Benettin L. Galgani Antonio Giorgilli Jean-Marie Strelcyn
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Loop groups and equations of KdV type 1985-12-01 Graeme Segal George Wilson
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On the concept of attractor 1985-06-01 John Milnor
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- Nonlinear Ordinary Differential Equations 2013-09-25 Dominic William Jordan Peter Smith
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Transformation Groups in Differential Geometry 1972-01-01 ShĂŽshichi Kobayashi
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Basic problems in stability and design of switched systems 1999-10-01 Daniel Liberzon A. Stephen Morse
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XVI. Functions of positive and negative type, and their connection the theory of integral equations 1909-01-01 James W. Mercer
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Balls and metrics defined by vector fields I: Basic properties 1985-01-01 Alexander Nagel Elias M. Stein Stephen Wainger
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Groups of polynomial growth and expanding maps 1981-12-01 Mikhael Gromov
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Handbook of exact solutions for ordinary differential equations 1996-02-01 А. Д. ĐŸĐŸĐ»ŃĐœĐžĐœ Valentin F. Zaitsev
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Some properties of viscosity solutions of Hamilton-Jacobi equations 1984-01-01 Michael G. Crandall L. C. Evans Pierre‐Louis Lions
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Finite spectrum assignment problem for systems with delays 1979-08-01 A. Manitius A.W. Olbrot
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Introduction to Singular Perturbations 1975-10-01 Wolfgang Wasow Robert E. O’Malley
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On the Kalman—Yakubovich—Popov lemma 1996-06-01 Anders Rantzer
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MATCONT 2003-06-01 Annick Dhooge W. Govaerts Yuri A. Kuznetsov
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The Painlevé property for partial differential equations 1983-03-01 John Weiss M. Tabor G. F. Carnevale
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Bifurcation from simple eigenvalues 1971-10-01 Michael G. Crandall Paul H. Rabinowitz
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Multiple Lyapunov functions and other analysis tools for switched and hybrid systems 1998-04-01 Michael S. Branicky
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A two-dimensional mapping with a strange attractor 1976-02-01 M. HĂ©non
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The universal metric properties of nonlinear transformations 1979-12-01 Mitchell J. Feigenbaum
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Geometry and Spectra of Compact Riemann Surfaces 2010-01-01 Peter Buser
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Geometric homogeneity with applications to finite-time stability 2005-05-16 Sanjay P. Bhat Dennis S. Bernstein
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I. Liquid crystals. On the theory of liquid crystals 1958-01-01 F. C. Frank
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Quantitative universality for a class of nonlinear transformations 1978-07-01 Mitchell J. Feigenbaum
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The double scroll family 1986-11-01 Leon O. Chua M. Komuro Takashi Matsumoto
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Introduction to the Arithmetic Theory of Automorphic Functions 1972-10-01 Marvin Tretkoff Goro Shimura
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Structural controllability 1974-06-01 Ching-Tai Lin
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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields 1986-06-01 Jack D. Cowan
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Lie Group Representations on Polynomial Rings 1963-07-01 Bertram Kostant
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Analytic Functions of Several Complex Variables. 1968-04-01 J. W. Gray Robert C. Gunning Hugo Rossi
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Groupes Réductifs Sur Un Corps Local 1972-12-01 François Bruhat Jacques Tits
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Singularities of Differentiable Maps 1985-01-01 Vladimir I. Arnold S. M. GuseÄ­n-Zade Alexander Varchenko
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Stable Mappings and Their Singularities 1973-01-01 Martin Golubitsky Victor Guillemin
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Nonlinear Control Systems 1995-01-01 Alberto Isidori
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Stability results for fractional differential equations with applications to control processing 1996-01-01 Denis Matignon

Most Recent Works

Action Title Date Authors
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Number of zeros of solutions of second order linear ordinary differential equation 2025-04-25 Monika DosoudilovĂĄ Alexander Lomtatidze
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Characterization of Non-deterministic Chaos in Two-dimensional Non-smooth Vector Fields 2025-04-26 Rodrigo D. Euzébio Pedro G. Mattos Régis Varão
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On the dynamics of a complex continued fraction map which contains the Gauss map as its real number section 2025-04-25 Hiromi Ei Hitoshi Nakada Rie Natsui
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Expansion coefficients and their relation for Melnikov functions near polycycles 2025-04-25 Feng Liang Maoan Han
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Explicit formulas for two limit cycles of a family of planar differential systems 2025-04-25 S. E. Hamizi Rachid Boukoucha
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On the multiplicity of graded fiber cones with arbitrary dimensions 2025-04-28 The Hung Nguyen
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Piecewise smooth vector fields with sliding motion preserving measure 2025-04-28 Marco Florentino Tiago Carvalho
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El espacio de triĂĄngulos circulares en la esfera de Riemann 2025-04-28 Francisco Espinosa Ahtziri GonzĂĄlez LĂ©mus
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Robust stability problem in the mass-spring-damper system with general conformable fractional derivative 2025-04-26 IvĂĄn Delgado-Carmona RaĂșl Temoltzi-Ávila
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Painlevé integrability, exact solutions and stability analysis for a new extended (3+1)-dimensional BKP equation 2025-04-28 Jie Huang Lianzhong Li
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Qualitative Analysis and Traveling Wave Solutions of a (3 + 1)- Dimensional Generalized Nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt System 2025-04-27 Zhao Li Ejaz Hussain
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A Proof of the Persistence of Anti-integrable States for Three-Dimensional Quadratic Diffeomorphisms 2025-04-28 Yi-Chiuan Chen
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Crossing Limit Cycles from Discontinuous Piecewise Linear Differential Centers Separated by Two Circles 2025-04-26 Sonia Isabel Renteria Alva Ana C. Mereu
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A note on limsup sets of annuli 2025-04-28 Mumtaz Hussain Benjamin Ward
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On the singular loci of higher secant varieties of Veronese embeddings 2025-04-29 Katsuhisa Furukawa Kangjin Han
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Controllability of infinite‐dimensional conformable Θ$$ \Theta $$‐H$$ H $$‐systems 2025-04-29 Lakhlifa Sadek Ahmed Toukmati
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Explicit 2-cycle solutions and bifurcation structures in a non-invertible planar rational map 2025-04-29 Wirot Tikjha Sishu Shankar Muni
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Statistical Stability of Interval Maps with Critical Points and Singularities 2025-04-29 José F. Alves Dalmi Gama Stefano Luzzatto
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Spreading Speeds for A Diffusive Three-Species System with Strong Competition 2025-04-29 Jiamin Jiang Chang-Hong Wu
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Melnikov method for perturbed completely integrable systems 2025-04-30 Francisco Crespo Uribe Uribe Elisa MartĂ­nez
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A Specific Category of Meromorphic Functions with Positive Coefficients 2025-05-01 Omar Alnajar Khalid Alshammari Maslina Darus Ala Amourah
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Legendre polynomial expansion of the potential of a uniformly charged disk 2025-04-30 Jerrold Franklin
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Graphs of trigonal curves and rigid isotopies of singular real algebraic curves of bidegree (4, 3) on a hyperboloid 2025-05-02 В. И. ЗĐČĐŸĐœĐžĐ»ĐŸĐČ
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Corrigendum to “A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer” [J. Algebra 613 (2023) 1–31] 2025-05-02 Đáș·ng VĂ” PhĂșc
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A super extension of the Geng–Xue system 2025-05-01 Hongmin Li Nianhua Li
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Soliton Dynamics and Modulation Instability in the (3+1)-Dimensional Generalized Fractional Kadomtsev–Petviashvili Equation 2025-04-27 Nadiyah Hussain Alharthi Melike Kaplan Rubayyi T. Alqahtani
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Merging boundary critical points of a Morse function 2025-05-02 Maciej Borodzik Marcin Mielniczuk
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Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three 2025-05-01 Jaume Llibre Renhao Tian
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The Quadratic Reciprocity Law by Zolotarev and its generalizations 2025-05-02 A. N. Abyzov
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On the dynamics of the Craik–Okamoto and the Euler top 2025-05-01 Jaume Llibre Clàudìa Valls
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On a System with Multiple Period Annuli 2025-05-05 A. Kirichuka Felix Sadyrbaev
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Gap sequences of BaraƄski sets 2025-05-01 Zhen Liang Jun Jie Miao Huo-Jun Ruan
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Dynamical analysis and soliton solutions of the space–time fractional Kaup-Boussinesq system 2025-05-01 Amjad Hussain Muhammad Hammad Ariana Abdul Rahimzai Wei Sin Koh Ilyas Khan
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Multiple cover formulas for complex and refined invariants in abelian surfaces 2025-05-01 Thomas Blomme
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Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $\mathrm{GL}_{g}(\mathbb{Z})$ and $\mathrm{SL}_{g}(\mathbb{Z})$ 2025-05-06 Francis Brown
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The value semigroup of a plane curve singularity with several branches 2025-05-06 Marco D’Anna F. Delgado Lorenzo Guerrieri Nicola Maugeri Vincenzo Micale
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Some remarks on the isotropy groups of simple derivations 2025-05-07 Youzheng Ding Dan Yan
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Global Dynamics of Planar Piecewise Linear Refracting System with Three Zones 2025-05-07 Jiang Zhechen Shimin Li
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Uniformity of Strong Asymptotics in Angelesco Systems 2025-05-08 Maxim L. Yattselev
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A flower theorem in dimension two 2025-05-08 Lorena López‐Hernanz Rudy Rosas
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On the decomposition of quadratic pairs in characteristic two 2025-05-08 L. Jamshidi A.‐H. Nokhodkar
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<i>H</i> ∞ Control Co-design for Uncertain Polytopic Systems 2025-05-08 Josefredo Gadelha da Silva MĂĄrcio J. Lacerda AriĂĄdne L. J. Bertolin Thalita NazarĂ© Matheus Costa Erivelton G. Nepomuceno
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Perturbation and determinacy of nonsmooth systems 2025-05-01 Sal Catsis Cameron L. Hall Mike R. Jeffrey
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On the index of an isolated equilibrium point for piecewise polynomial differential systems 2025-05-01 Shimin Li Jaume Llibre Yulin Zhao
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On the pluricanonical map of projective 3-folds of general type with P3 ≄ 2 2025-05-07 Yong Hu Jianshi Yan
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On Spirallikeness of Entire Functions 2025-05-09 Narjes Alabkary Saiful R. Mondal
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Special subvarieties in the locus of intermediate Jacobians of cubic threefolds 2025-05-09 Moritz Hartlieb
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Limits of an Increasing Sequence of Riemann Surfaces 2025-05-09 Diganta Borah Prachi Mahajan Jiju Mammen
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On a Diameter Schwarz Lemma and its Applications 2025-05-09 Han-Yu Wu Bo Yang
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Explicit numerical computation of normal forms for PoincarĂ© maps 2025-05-01 Joan Gimeno Àngel Jorba Marc Jorba-CuscĂł Maorong Zou