Exploració per tema "Dynamical systems"
Ara es mostren els items 44-63 de 82
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Nonlinear dynamics of replication modes in tunable deleterious fitness landscape
(Universitat Politècnica de Catalunya, 2017-07)
Treball Final de Grau
Accés restringit per decisió de l'autor
Realitzat a/amb: Centre de Recerca MatemàticaWe analyze a system of nonlinear ordinary differential equations describing the intracellular amplification dynamics of viral RNA genomes. The replication modes considered range between two extremes given by the so-called ... -
Nonlinear oscillatory mixing in the generalized Landau scenario
(American Institute of Physics (AIP), 2018-05-31)
Article
Accés obertWe present a set of phase-space portraits illustrating the extraordinary oscillatory possibilities of the dynamical systems through the so-called generalized Landau scenario. In its simplest form the scenario develops in ... -
Numerical exploration of bifurcation phenomena associated with complex instability
(1997)
Article
Accés obertThe Hopf-like bifurcation associated with the transition from stability to complex instability of a family of periodic orbits in a Hamiltonian system with three (or more) degrees of freedom is investigated. Numerical ... -
Numerically solving Hilbert's 16th problem
(Universitat Politècnica de Catalunya, 2021-01)
Treball Final de Grau
Accés obertThe second part of Hilbert's 16th problem remains unresolved more than a century after he first formulated it. This Degree Final Project (TFG) is an attempt to bring the power of modern computers into the equation. In the ... -
On a conjecture of Fujita
(2000)
Article
Accés obert -
On the Hamiltonian Andronov-Hopf bifurcation
(2001)
Article
Accés obert -
On the minimal models for graph maps
(2000)
Article
Accés obert -
On the numerical computation of Diophantine rotation numbers of analytic circle maps
(2004)
Article
Accés obertIn this paper we present a numerical method to compute Diophantine rotation numbers of circle maps with high accuracy. We mainly focus on analytic circle diffeomorphisms, but the method also works in the case of (enough) ... -
On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields
(2021-10-07)
Report de recerca
Accés obertMotivated by Poincare’s orbits going to infinity in the (restricted) three-body problem ´ (see [29] and [7]), we investigate the generic existence of heteroclinic-like orbits in a neighbourhood of the critical set of a ... -
On the topological dynamics and phase-locking renormalization of Lorenz-Like maps
(2000)
Article
Accés obertThe aim of this paper is twofold. First we give a characterization of the set of kneading invariants for the class of Lorenz--like maps considered as a map of the circle of degree one with one discontinuity. In a second ... -
Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
(Springer, 2024-02-21)
Article
Accés obertA two-patch logistic metapopulation model is investigated both analytically and numerically focusing on the impact of dispersal on population dynamics. First, the dependence of the global dynamics on the stability type of ... -
Oscillatory dynamics with applications to cognitive tasks
(Universitat Politècnica de Catalunya, 2022-10)
Projecte Final de Màster Oficial
Accés obertOscillations are ubiquitous in the brain and robustly correlate with distinct cognitive tasks. A specific type of oscillatory signals allows robust switching between states in networks involved in memorizing tasks. In ... -
Parallel computation of normal forms
(2004)
Article
Accés obertThe time to compute normal forms numerically grows very fast with respect to the degree of the normal form and the dimension of the system. We design and implement a parallel algorithm based on the parallel computation ... -
Perturbation of quadrics
(2000)
Article
Accés obertThe aim of this paper is to study what happens when a slight perturbation affects the coefficients of a quadratic equation defining a variety (a quadric) in R^n. Structurally stable quadrics are those a small perturbation ... -
Phase-locking flows between orthogonally stretching parallel plates
(2022-11-04)
Article
Accés obertIn this paper, we explore the stability and dynamical relevance of a wide variety of steady, time-periodic, quasiperiodic, and chaotic flows arising between orthogonally stretching parallel plates. We first explore the ... -
Poincaré i la Teoria KAM
(2003-11-01)
Audiovisual
Accés obertLa teoría KAM representó en el siglo XX uno de las mayores revoluciones en Sistemas Dinámicos. Se cita a Henri Poincaré como uno de los fundadores de los Sistemas Dinámicos modernos. Leyendo sus obras, y en particular Les ... -
Poincaré-Melnikov-Arnold method for twist maps
(1997)
Article
Accés obertThe Poincar\'e--Melnikov--Arnold method is the standard tool for detecting splitting of invariant manifolds for systems of ordinary differential equations close to ``integrable'' ones with associated separatrices. This ... -
Population modelling for dormancy cancers
(Universitat Politècnica de Catalunya, 2020-07)
Treball Final de Grau
Accés obertImmunotherapy is a type of cancer treatment that boosts the natural defenses of the body to fight cancer without damaging normal cells. Many scientists have shown interest in developing a mathematical model that simulates ... -
Report: review of the paper homoclinic orbits on invariant manifolds of a functional differential equation.
(2000)
Report de recerca
Accés obert -
Rigidity of cotangent lifts and integrable systems
(2020-05)
Report de recerca
Accés obertIn this article we generalize a theorem by Palais on the rigidity ofcompact group actions to cotangent lifts. We use this result to prove rigidity forintegrable systems on symplectic manifolds including sytems with ...
