Concept

Hopf bifurcation

Related publications (61)

Certification of fixed computation time first-order optimization-based controllers for a class of nonlinear dynamical systems

This paper proposes a stability verification method for systems controlled by an early terminated first-order method (e.g., an MPC problem approximately solved by a fixed number of iterations of the fast gradient method). The method is based on the observa ...

Ieee2014

From standing to breaking antidunes, a Hopf bifurcation.

Christophe Ancey, Joris Heyman, François Mettra

Antidunes are bed morphologies often observed in steep slope mountain flows but also in small streams flowing on a sand beach. Linear stability analysis of the shallow water equations (SWE), when coupled to a sediment transport equation, predicts the growt ...

2013

Odd linking and bifurcation in gaps: the weakly indefinite case

In this paper, we consider nonlinear Schrodinger equations of the following type: -Delta u(x) + V (x) u(x) -q(x)|u(x)|sigma u(x) =lambda u(x), x is an element of R-N, u is an element of H-1(R-N) \ {0}, where N >= 2 and sigma > 0. We concentrate on situatio ...

Royal Society of Edinburgh Scotland Foundation, Cambridge2013

Analysis of precision in chemical oscillators: implications for circadian clocks

Felix Naef, Alessandro De Simone, Thomas d'Eysmond

Biochemical reaction networks often exhibit spontaneous self-sustained oscillations. An example is the circadian oscillator that lies at the heart of daily rhythms in behavior and physiology in most organisms including humans. While the period of these osc ...

Institute of Physics2013

Numerical approximation of the unsteady Navier-Stokes equations with an application to the flow past a square cylinder

Francesco Casalegno

The goal of this project is to numerically solve the Navier-Stokes equations by using different numerical methods with particular emphasis on solving the problem of the flow past a square cylinder. In particular, we use the finite element method based on P ...

2013

Self-shaping attractors for coupled limit cycle oscillators

Max-Olivier Hongler, Philippe Blanchard, Julio Rodriguez

We consider a complex network of N diffusively coupled stable limit cycle oscillators. Each individual system has its own set of local parameters Λ, characterizing its frequencies and the shape of limit cycle. The Λ are allowed, thanks to appropriate inter ...

Springer2013

Homoclinic Points And Floer Homology

A new relation between homoclinic points and Lagrangian Floer homology is presented: in dimension two, we construct a Floer homology generated by primary homoclinic points. We compute two examples and prove an invariance theorem. Moreover, we establish a l ...

Int Press Boston, Inc2013

A weakly nonlinear mechanism for mode selection in swirling jets

François Gallaire, Philippe Meliga

Global linear and nonlinear bifurcation analysis is used to revisit the spiral vortex breakdown of nominally axisymmetric swirling jets. For the parameters considered herein, stability analyses single out two unstable linear modes of azimuthal wavenumber m ...

Cambridge University Press2012

Bifurcation Analysis at a Singular Soliton State in Fiber Couplers

Boris Buffoni

The system {-u '' + u = u(3) + lambda v, u(x)= u(-x) is an element of R, x is an element of R, -v '' + v = v(3) + lambda u, v(x) = v(-x) is an element of R, x is an element of R, describes pulses in nonlinear fiber couplers. It has the family (U1+lambda, - ...

Advanced Nonlinear Studies, Inc2012

The role of aquatic reservoir fluctuations in long-term cholera patterns

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Mari, Lorenzo Righetto, Marino Gatto

We propose and analyze an important extension of standard cholera epidemiological models, explicitly accounting for fluctuations of water availability to the human community under study. The seasonality of water input in the reservoir drives the variation ...

2012

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