Journal of Dynamical and Control Systems, ISSN 1079-2724, 7/2018, Volume 24, Issue 3, pp. 425 - 438

We prove that the Zarisky closure of the monodromy group of the polynomial x 2 y 2(1 − x − y) is the symplectic group Sp(4,ℂ) $Sp(4,\mathbb {C})$. This shows...

34C05 | Vibration, Dynamical Systems, Control | Picard-Fuchs equation | Calculus of Variations and Optimal Control; Optimization | Systems Theory, Control | 37F75 | Mathematics | Dynamical Systems and Ergodic Theory | Limit cycle | Monodromy | Dynamical Systems

34C05 | Vibration, Dynamical Systems, Control | Picard-Fuchs equation | Calculus of Variations and Optimal Control; Optimization | Systems Theory, Control | 37F75 | Mathematics | Dynamical Systems and Ergodic Theory | Limit cycle | Monodromy | Dynamical Systems

Journal Article

Journal of Dynamical and Control Systems, ISSN 1079-2724, 07/2018, Volume 24, Issue 3, p. 425

To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/s10883-017-9379-2 We prove...

Journal Article

Inventiones Mathematicae, ISSN 0020-9910, 2001, Volume 143, Issue 3, pp. 449 - 497

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2016, Volume 144, Issue 10, pp. 4205 - 4219

We prove that the cyclicity of a slow-fast integrable system of Darboux type with a double heteroclinic loop is finite and uniformly bounded.

Limit cycle | Slow-fast system | Double heteroclinic loop | MATHEMATICS | double heteroclinic loop | MATHEMATICS, APPLIED | limit cycle | ABELIAN-INTEGRALS | VECTOR-FIELDS | LIMIT-CYCLES | Dynamical Systems | Mathematics

Limit cycle | Slow-fast system | Double heteroclinic loop | MATHEMATICS | double heteroclinic loop | MATHEMATICS, APPLIED | limit cycle | ABELIAN-INTEGRALS | VECTOR-FIELDS | LIMIT-CYCLES | Dynamical Systems | Mathematics

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 03/2001, Volume 143, Issue 3, pp. 449 - 497

Let H(x,y) be a real cubic polynomial with four distinct critical values (in a complex domain) and let X H =H y -H x be the corresponding Hamiltonian vector...

Mathematics, general | Mathematics | MATHEMATICS | NUMBER | PERTURBATIONS | HAMILTONIAN VECTOR-FIELDS | SINGULARITIES | ABELIAN-INTEGRALS | SYSTEMS | LIMIT-CYCLES | ZEROS | Studies

Mathematics, general | Mathematics | MATHEMATICS | NUMBER | PERTURBATIONS | HAMILTONIAN VECTOR-FIELDS | SINGULARITIES | ABELIAN-INTEGRALS | SYSTEMS | LIMIT-CYCLES | ZEROS | Studies

Journal Article

Commentarii Mathematici Helvetici, ISSN 0010-2571, 2014, Volume 89, Issue 1, pp. 125 - 155

Journal Article

Functional Analysis and Its Applications, ISSN 0016-2663, 7/2013, Volume 47, Issue 3, pp. 174 - 186

We prove that the number of limit cycles which bifurcate from a two-saddle loop of an analytic planar vector field X 0 under an arbitrary finite-parameter...

two-saddle loop | Functional Analysis | Analysis | Mathematics | finite cyclicity | limit cycles | heteroclinic loop | MATHEMATICS | MATHEMATICS, APPLIED | CYCLICITY | ABELIAN-INTEGRALS | LOOPS | ZEROS

two-saddle loop | Functional Analysis | Analysis | Mathematics | finite cyclicity | limit cycles | heteroclinic loop | MATHEMATICS | MATHEMATICS, APPLIED | CYCLICITY | ABELIAN-INTEGRALS | LOOPS | ZEROS

Journal Article

Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 10/2008, Volume 28, Issue 5, pp. 1497 - 1507

Let Pi be an open period annulus of a plane analytic vector field X-0. We prove that the maximal number of limit cycles which bifurcate from Pi under a given...

MATHEMATICS | MATHEMATICS, APPLIED | PERTURBATIONS | LIMIT-CYCLES | QUADRATIC HAMILTONIAN-SYSTEMS

MATHEMATICS | MATHEMATICS, APPLIED | PERTURBATIONS | LIMIT-CYCLES | QUADRATIC HAMILTONIAN-SYSTEMS

Journal Article

Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 3/2011, Volume 42, Issue 1, pp. 1 - 23

We find an upper bound to the maximal number of limit cycles, which bifurcate from a hamiltonian two-saddle loop of an analytic vector field, under an analytic...

34C05 | limit cycle | two-saddle loop | Theoretical, Mathematical and Computational Physics | analytic vector field | Mathematics, general | Mathematics | 34C08 | 34C07 | Limit cycle | Analytic vector field | Two-saddle loop | SUCCESSIVE DERIVATIVES | UNFOLDINGS | INTEGRALS | MATHEMATICS | PERIOD ANNULI | FINITE CYCLICITY | MAP

34C05 | limit cycle | two-saddle loop | Theoretical, Mathematical and Computational Physics | analytic vector field | Mathematics, general | Mathematics | 34C08 | 34C07 | Limit cycle | Analytic vector field | Two-saddle loop | SUCCESSIVE DERIVATIVES | UNFOLDINGS | INTEGRALS | MATHEMATICS | PERIOD ANNULI | FINITE CYCLICITY | MAP

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 03/2016, Volume 260, Issue 5, pp. 3963 - 3990

The purpose of the present paper is to study the limit cycles of one-parameter perturbed plane Hamiltonian vector field...

MATHEMATICS | NUMBER | LIMIT-CYCLES | MAP | ABELIAN-INTEGRALS | ZEROS | Dynamical Systems | Mathematics

MATHEMATICS | NUMBER | LIMIT-CYCLES | MAP | ABELIAN-INTEGRALS | ZEROS | Dynamical Systems | Mathematics

Journal Article

11.
Full Text
Cubic perturbations of symmetric elliptic Hamiltonians of degree four in a complex domain

Bulletin des sciences mathématiques, ISSN 0007-4497, 12/2019, Volume 157, p. 102796

We consider arbitrary one-parameter cubic deformations of the Duffing oscillator x″=x−x3. In the case when the first Melnikov function M1 vanishes, but M2≠0 we...

Zeros of elliptic integrals | Limit cycles | Duffing oscillator | MATHEMATICS, APPLIED | NUMBER | BIFURCATIONS | ABELIAN-INTEGRALS | MAP | ZEROS

Zeros of elliptic integrals | Limit cycles | Duffing oscillator | MATHEMATICS, APPLIED | NUMBER | BIFURCATIONS | ABELIAN-INTEGRALS | MAP | ZEROS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2015, Volume 424, Issue 1, pp. 774 - 784

The cyclicity of the exterior period annulus of the asymmetrically perturbed Duffing oscillator is a well known problem extensively studied in the literature....

16th Hilbert problem | Limit cycles | Zeros of elliptic integrals depending on parameters | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | BIFURCATIONS | ABELIAN-INTEGRALS | LIMIT-CYCLES | ZEROS | Dynamical Systems | Mathematics

16th Hilbert problem | Limit cycles | Zeros of elliptic integrals depending on parameters | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | BIFURCATIONS | ABELIAN-INTEGRALS | LIMIT-CYCLES | ZEROS | Dynamical Systems | Mathematics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 9/2010, Volume 2010, Issue 9, pp. 1 - 38

Results on two-particle angular correlations for charged particles emitted in proton-proton collisions at center-of-mass energies of 0.9, 2.36, and 7 TeV are...

Hadron-Hadron Scattering | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Hadron-hadron scattering | FLOW | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Experiment | High Energy Physics - Experiment

Hadron-Hadron Scattering | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Hadron-hadron scattering | FLOW | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Experiment | High Energy Physics - Experiment

Journal Article

Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 03/2015, Volume 32, Issue 2, pp. 307 - 324

We prove that the number of limit cycles which bifurcate from a two-saddle loop of a planar quadratic Hamiltonian system, under an arbitrary quadratic...

UNFOLDINGS | MATHEMATICS, APPLIED | CYCLICITY | NUMBER | APPEAR | ALIEN LIMIT-CYCLES | ELLIPTIC SEGMENT LOOPS | PERIOD ANNULI | SYSTEMS | PLANAR VECTOR-FIELDS | HILBERTS 16TH PROBLEM

UNFOLDINGS | MATHEMATICS, APPLIED | CYCLICITY | NUMBER | APPEAR | ALIEN LIMIT-CYCLES | ELLIPTIC SEGMENT LOOPS | PERIOD ANNULI | SYSTEMS | PLANAR VECTOR-FIELDS | HILBERTS 16TH PROBLEM

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 357, Issue 1, pp. 69 - 76

We study the stratum in the set of all quadratic differential systems x ˙ = P 2 ( x , y ) , y ˙ = Q 2 ( x , y ) with a center, known as the codimension-four...

Quadratic codimension-four centers | Limit cycles | Zeros of Abelian integrals | INTEGRALS | MATHEMATICS | MATHEMATICS, APPLIED | HAMILTONIAN-SYSTEMS

Quadratic codimension-four centers | Limit cycles | Zeros of Abelian integrals | INTEGRALS | MATHEMATICS | MATHEMATICS, APPLIED | HAMILTONIAN-SYSTEMS

Journal Article

11/2018

This is an extended version of two lectures given during the Zagreb Dynamical Systems Workshop, October 22-26, 2018.

Mathematics - Dynamical Systems

Mathematics - Dynamical Systems

Journal Article

Journal of Instrumentation, ISSN 1748-0221, 2014, Volume 9, Issue 10, pp. P10009 - P10009

A description is provided of the software algorithms developed for the CMS tracker both for reconstructing charged-particle trajectories in proton-proton...

Large detectorsystems performance | Performance of High Energy Physics Detectors | Pattern recognition, cluster finding, calibration and fitting methods | Large detector-systems performance | DESIGN | INSTRUMENTS & INSTRUMENTATION | PATTERN-RECOGNITION | SIMULATION | EVENT | Hadrons | Algorithms | Large Hadron Collider | Bremsstrahlung | Tracking (position) | Instrumentation | Software | Solenoids | Computer programs | Muons | Instrumentation and Detectors | Physics | High Energy Physics - Experiment | INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY | CERN LHC | ELECTRONS | TRANSVERSE MOMENTUM | CHARGED PARTICLES | PERFORMANCE | BREMSSTRAHLUNG | MUONS | PARTICLE RAPIDITY | ALGORITHMS | PROTON-PROTON INTERACTIONS

Large detectorsystems performance | Performance of High Energy Physics Detectors | Pattern recognition, cluster finding, calibration and fitting methods | Large detector-systems performance | DESIGN | INSTRUMENTS & INSTRUMENTATION | PATTERN-RECOGNITION | SIMULATION | EVENT | Hadrons | Algorithms | Large Hadron Collider | Bremsstrahlung | Tracking (position) | Instrumentation | Software | Solenoids | Computer programs | Muons | Instrumentation and Detectors | Physics | High Energy Physics - Experiment | INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY | CERN LHC | ELECTRONS | TRANSVERSE MOMENTUM | CHARGED PARTICLES | PERFORMANCE | BREMSSTRAHLUNG | MUONS | PARTICLE RAPIDITY | ALGORITHMS | PROTON-PROTON INTERACTIONS

Journal Article

Commentarii Mathematici Helvetici, ISSN 0010-2571, 2014, Volume 89, Issue 1, pp. 125 - 155

In the present paper we solve the following different but interrelated problems: (a)~the moment problem on Riemann surfaces, (b) the vanishing problem for...

Potential theory | Integral transforms, operational calculus | POLYNOMIALS | MATHEMATICS | ZERO | SEGMENT | CYCLES | Moment problem | POWERS | Abelian integrals

Potential theory | Integral transforms, operational calculus | POLYNOMIALS | MATHEMATICS | ZERO | SEGMENT | CYCLES | Moment problem | POWERS | Abelian integrals

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.