2008, Lecture notes in mathematics, ISBN 9783540747741, Volume 1926, xiv, 285

Book

2012, Graduate studies in mathematics, ISBN 9780821887493, Volume 137, xii, 248

Book

2019, Problem Books in Mathematics, ISBN 9783030159146, 223

This book comprises an impressive collection of problems that cover a variety of carefully selected topics on the core of the theory of dynamical systems....

Dynamical Systems and Ergodic Theory | Mathematics

Dynamical Systems and Ergodic Theory | Mathematics

eBook

05/2018, 1st ed. 2018, SpringerBriefs in Mathematics, ISBN 3319901095, 153

This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are...

Difference equations | Functional equations | Mathematics

Difference equations | Functional equations | Mathematics

eBook

2013, Universitext, ISBN 9781447148340

Web Resource

2012, Springer undergraduate mathematics series, ISBN 1447140087

Web Resource

2012, ISBN 1447140079, 416

eBook

2012, 2012, Springer Undergraduate Mathematics Series, ISBN 1447140079, 416

This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic...

Mathematical analysis | Fourier analysis | Differential equations | Mathematics | Fourier Analysis | Ordinary Differential Equations | Functions of a Complex Variable | Partial Differential Equations | Sequences, Series, Summability

Mathematical analysis | Fourier analysis | Differential equations | Mathematics | Fourier Analysis | Ordinary Differential Equations | Functions of a Complex Variable | Partial Differential Equations | Sequences, Series, Summability

eBook

2012, ISBN 9781447148340, 213

The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction...

Differentiable dynamical systems | Differential equations

Differentiable dynamical systems | Differential equations

eBook

Journal of Dynamics and Differential Equations, ISSN 1040-7294, 12/2019, Volume 31, Issue 4, pp. 2053 - 2060

... of the n-Body Problem Montserrat Corbera 1 · Claudia Valls 2 Received: 10 May 2018 / Published online: 4 September 2018 © Springer Science+Business Media, LLC, part...

Co-circular central configurations | Ordinary Differential Equations | n -Body problem | 70F07 | Mathematics | Applications of Mathematics | 70F15 | Partial Differential Equations | Regular n -gon | n-Body problem | Regular n-gon

Co-circular central configurations | Ordinary Differential Equations | n -Body problem | 70F07 | Mathematics | Applications of Mathematics | 70F15 | Partial Differential Equations | Regular n -gon | n-Body problem | Regular n-gon

Journal Article

Acta Mathematica Sinica, English Series, ISSN 1439-8516, 5/2018, Volume 34, Issue 5, pp. 801 - 811

... Algebraic Curve Jaume LLIBRE Departament de Matem` atiques, Universitat Aut` onoma de Barcelona, E-mail : jllibre@mat.uab.cat Claudia V ALLS Departamento de Matem...

34C05 | invariant algebraic curves | Poincaré disc | complex ellipse | Mathematics, general | Mathematics | Quadratic system | phase portrait | INTEGRALS | MATHEMATICS | MATHEMATICS, APPLIED | CLASSIFICATION | FLOWS | DIFFERENTIAL-SYSTEMS | Poincare disc | Portraits | Polynomials | Algebra | Quadratic programming | Invariants | Differential equations

34C05 | invariant algebraic curves | Poincaré disc | complex ellipse | Mathematics, general | Mathematics | Quadratic system | phase portrait | INTEGRALS | MATHEMATICS | MATHEMATICS, APPLIED | CLASSIFICATION | FLOWS | DIFFERENTIAL-SYSTEMS | Poincare disc | Portraits | Polynomials | Algebra | Quadratic programming | Invariants | Differential equations

Journal Article

Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 05/2018, Volume 61, Issue 2, pp. 499 - 512

... SYSTEMS JAUME LLIBRE1∗AND CLAUDIA VALLS2 1Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain (jllibre...

quadratic polynomial vector field | quadratic polynomial differential system | algebraic limit cycle | INTEGRALS | MATHEMATICS | 16TH HILBERT PROBLEM | CURVES | UNIQUENESS | Fractals | Polynomials | Algebra

quadratic polynomial vector field | quadratic polynomial differential system | algebraic limit cycle | INTEGRALS | MATHEMATICS | 16TH HILBERT PROBLEM | CURVES | UNIQUENESS | Fractals | Polynomials | Algebra

Journal Article

Journal of Nonlinear Science, ISSN 0938-8974, 8/2015, Volume 25, Issue 4, pp. 861 - 887

... with Three Zones and No Symmetry Jaume Llibre 1 · Enrique Ponce 2 · Clàudia Valls 3 Received: 22 April 2014 / Accepted: 5 March 2015 / Published online: 18 March 2015...

Periodic orbits | Analysis | Theoretical, Mathematical and Computational Physics | Secondary 34A34 | Appl.Mathematics/Computational Methods of Engineering | Mechanics | Nonlinear control systems | Economic Theory | Mathematics | Limit cycles | Liénard piecewise linear differential systems | Primary 34C25 | EXISTENCE | MATHEMATICS, APPLIED | MECHANICS | NONEXISTENCE | BIFURCATION SETS | EQUATIONS | OSCILLATIONS | PHYSICS, MATHEMATICAL | Lienard piecewise linear differential systems | Control systems

Periodic orbits | Analysis | Theoretical, Mathematical and Computational Physics | Secondary 34A34 | Appl.Mathematics/Computational Methods of Engineering | Mechanics | Nonlinear control systems | Economic Theory | Mathematics | Limit cycles | Liénard piecewise linear differential systems | Primary 34C25 | EXISTENCE | MATHEMATICS, APPLIED | MECHANICS | NONEXISTENCE | BIFURCATION SETS | EQUATIONS | OSCILLATIONS | PHYSICS, MATHEMATICAL | Lienard piecewise linear differential systems | Control systems

Journal Article

Nature physics, ISSN 1745-2473, 2017, Volume 13, Issue 4, pp. 391 - 396

Differences in the behaviour of matter and antimatter have been observed in K and B meson decays, but not yet in any baryon decay. Such differences are...

Physics and Astronomy(all) | PHYSICS, MULTIDISCIPLINARY | CP-VIOLATION | LAMBDA(B) | Matter & antimatter | Particle physics | Antimatter | Large Hadron Collider | Searching | Decay | Skewed distributions | Standard deviation | Transformations | Baryons | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Physics and Astronomy(all) | PHYSICS, MULTIDISCIPLINARY | CP-VIOLATION | LAMBDA(B) | Matter & antimatter | Particle physics | Antimatter | Large Hadron Collider | Searching | Decay | Skewed distributions | Standard deviation | Transformations | Baryons | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2015, Volume 279, pp. 173 - 186

In this paper we classify the centers and the isochronous centers of certain polynomial differential systems in R2 of degree d≥5 odd that in complex notation...

Computation on modular arithmetics | Non-degenerate center | Poincaré–Liapunov–Abel constants | Gröbner basis theory | PoincaréLiapunovAbel constants | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | INTEGRABILITY | CONSTANTS | Grobner basis theory | CLASSIFICATION | POLYNOMIAL DIFFERENTIAL-SYSTEMS | INTEGRALS | CYCLICITY | LINEARIZABILITY CONDITIONS | Poincare-Liapunov-Abel constants | QUARTIC SYSTEMS | HOMOGENEOUS NONLINEARITIES

Computation on modular arithmetics | Non-degenerate center | Poincaré–Liapunov–Abel constants | Gröbner basis theory | PoincaréLiapunovAbel constants | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | INTEGRABILITY | CONSTANTS | Grobner basis theory | CLASSIFICATION | POLYNOMIAL DIFFERENTIAL-SYSTEMS | INTEGRALS | CYCLICITY | LINEARIZABILITY CONDITIONS | Poincare-Liapunov-Abel constants | QUARTIC SYSTEMS | HOMOGENEOUS NONLINEARITIES

Journal Article

Communications in Contemporary Mathematics, ISSN 0219-1997, 12/2014, Volume 16, Issue 6, pp. 1350041 - 1-1350041-23

We characterize the global phase portraits in the Poincaré disc of all the planar Lotka–Volterra quadratic polynomial differential systems having a Darboux...

Poincaré compactification | quadratic Lotka-Volterra systems | Poincaré disc | Phase portrait | Darboux invariant | MATHEMATICS | MATHEMATICS, APPLIED | Poincare compactification | CLASSIFICATION | FLOWS | Poincare disc | Discs | Predator-prey simulation | Mathematical analysis | Disks | Polynomials | Lotka-Volterra equations | Invariants

Poincaré compactification | quadratic Lotka-Volterra systems | Poincaré disc | Phase portrait | Darboux invariant | MATHEMATICS | MATHEMATICS, APPLIED | Poincare compactification | CLASSIFICATION | FLOWS | Poincare disc | Discs | Predator-prey simulation | Mathematical analysis | Disks | Polynomials | Lotka-Volterra equations | Invariants

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2009, Volume 246, Issue 6, pp. 2192 - 2204

In this paper we classify the centers, the cyclicity of its Hopf bifurcation and their isochronicity for the polynomial differential systems in R 2 of...

MATHEMATICS | EQUATIONS | INTEGRABILITY | VECTOR-FIELDS | LIMIT-CYCLES

MATHEMATICS | EQUATIONS | INTEGRABILITY | VECTOR-FIELDS | LIMIT-CYCLES

Journal Article

Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 06/2020, Volume 53, p. 103051

We study a Chemostat system of the form ẋ=−qx+R̃K+yxy,ẏ=(c̃−y)q−R̃ã(K+y)xy,where q>0, R̃>0, K>0, c̃>0 and ã≠0. This system appears in competition modelling...

Chemostat systems | Invariant algebraic curves | Darboux polynomials | Liouvillian first integrals | Phase portraits | Puiseux series | MATHEMATICS, APPLIED | 1ST INTEGRALS | MODEL

Chemostat systems | Invariant algebraic curves | Darboux polynomials | Liouvillian first integrals | Phase portraits | Puiseux series | MATHEMATICS, APPLIED | 1ST INTEGRALS | MODEL

Journal Article

Advances in Mathematics, ISSN 0001-8708, 2011, Volume 227, Issue 1, pp. 472 - 493

In this paper we classify the centers localized at the origin of coordinates, and their isochronicity for the polynomial differential systems in R 2 of degree...

Centers of polynomial vector fields | Centers of arbitrary degree | Isochronous centers | MATHEMATICS | INTEGRABILITY

Centers of polynomial vector fields | Centers of arbitrary degree | Isochronous centers | MATHEMATICS | INTEGRABILITY

Journal Article

Journal of mathematical physics, ISSN 1089-7658, 2019, Volume 60, Issue 4, p. 042901

.... 60, 042901 (2019); doi: 10.1063/1.5058728 Submitted: 19 September 2018 • Accepted: 10 March 2019 • Published Online: 12 April 2019 Jaume Llibre 1,a) and Claudia...

PHYSICS, MATHEMATICAL | Anisotropy | Orbits | Energy levels

PHYSICS, MATHEMATICAL | Anisotropy | Orbits | Energy levels

Journal Article

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