Search Results - "Lamb, Jeroen S.W."

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  1. 1

    Bifurcation from codimension one relative homoclinic cycles by HOMBURG, ALE JAN, JUKES, ALICE C., KNOBLOCH, JÜRGEN, LAMB, JEROEN S.W.

    “…We study bifurcations of relative homoclinic cycles in flows that are equivariant under the action of a finite group. The relative homoclinic cycles we…”
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    Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: A case study in R4 with Z2-symmetry and integral of motion by Bakrani, Sajjad, Lamb, Jeroen S.W., Turaev, Dmitry

    Published in Journal of Differential Equations (05-08-2022)
    “…We consider a Z2-equivariant flow in R4 with an integral of motion and a hyperbolic equilibrium with a transverse homoclinic orbit Γ. We provide criteria for…”
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    Dynamics and bifurcations of nonsmooth systems: A survey by Makarenkov, Oleg, Lamb, Jeroen S.W.

    Published in Physica. D (15-11-2012)
    “…In this survey we discuss current directions of research in the dynamics of nonsmooth systems, with emphasis on bifurcation theory. An introduction to the…”
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  5. 5

    Synchronisation of chaos and its applications by Eroglu, Deniz, Lamb, Jeroen S. W., Pereira, Tiago

    Published in Contemporary physics (03-07-2017)
    “…Dynamical networks are important models for the behaviour of complex systems, modelling physical, biological and societal systems, including the brain, food…”
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  6. 6

    Bifurcation Analysis of a Stochastically Driven Limit Cycle by Engel, Maximilian, Lamb, Jeroen S. W., Rasmussen, Martin

    Published in Communications in mathematical physics (07-02-2019)
    “…We establish the existence of a bifurcation from an attractive random equilibrium to shear-induced chaos for a stochastically driven limit cycle, indicated by…”
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  7. 7

    Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: A Banach lattice approach by Castro, Matheus M., Lamb, Jeroen S.W., Olicón-Méndez, Guillermo, Rasmussen, Martin

    “…We establish the existence and uniqueness of quasi-stationary and quasi-ergodic measures for almost surely absorbed discrete-time Markov chains under weak…”
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  8. 8

    Asymptotic estimates of SARS-CoV-2 infection counts and their sensitivity to stochastic perturbation by Faranda, Davide, Castillo, Isaac Pérez, Hulme, Oliver, Jezequel, Aglaé, Lamb, Jeroen S W, Sato, Yuzuru, Thompson, Erica L

    Published in Chaos (Woodbury, N.Y.) (01-05-2020)
    “…Despite the importance of having robust estimates of the time-asymptotic total number of infections, early estimates of COVID-19 show enormous fluctuations…”
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    On the Hamiltonian structure of normal forms at elliptic equilibria of reversible vector fields in R4 by Lamb, Jeroen S.W., Lima, Mauricio F.S., Martins, Ricardo M., Teixeira, Marco Antonio, Yang, Jiazhong

    Published in Journal of Differential Equations (05-12-2020)
    “…This paper addresses the question whether normal forms of smooth reversible vector fields in R4 at an elliptic equilibrium possess a formal Hamiltonian…”
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    Using Lin's method to solve Bykov's problems by Knobloch, Jürgen, Lamb, Jeroen S.W., Webster, Kevin N.

    Published in Journal of Differential Equations (15-10-2014)
    “…We consider nonwandering dynamics near heteroclinic cycles between two hyperbolic equilibria. The constituting heteroclinic connections are assumed to be such…”
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    Time-reversal symmetry in dynamical systems: A survey by Lamb, Jeroen S.W., Roberts, John A.G.

    Published in Physica. D (1998)
    “…In this paper we survey the topic of time-reversal symmetry in dynamical systems. We begin with a brief discussion of the position of time-reversal symmetry in…”
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  14. 14

    Topological bifurcations of minimal invariant sets for set-valued dynamical systems by LAMB, JEROEN S. W., RASMUSSEN, MARTIN, RODRIGUES, CHRISTIAN S.

    “…We discuss the dependence of set-valued dynamical systems on parameters. Under mild assumptions which are naturally satisfied for random dynamical systems with…”
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    A Characterization of Normal Forms for Control Systems by Hamzi, Boumediene, Lamb, Jeroen S. W., Lewis, Debra

    Published in Journal of dynamical and control systems (01-04-2015)
    “…Our goal in this paper is to generalize the method of inner-product normal forms to nonlinear control systems…”
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  16. 16

    Shift dynamics near non-elementary T-points with real eigenvalues by Knobloch, Jürgen, Lamb, Jeroen S. W., Webster, Kevin N.

    “…We consider non-elementary T-points in reversible systems in . We assume that the leading eigenvalues are real. We prove the existence of shift dynamics in the…”
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    Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in R 3 by Lamb, Jeroen S.W., Teixeira, Marco-Antonio, Webster, Kevin N.

    Published in Journal of Differential Equations (01-12-2005)
    “…We study the dynamics near a symmetric Hopf-zero (also known as saddle-node Hopf or fold-Hopf) bifurcation in a reversible vector field in R 3 , with…”
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  18. 18

    Equivariant Hopf bifurcation for neutral functional differential equations by Guo, Shangjiang, Lamb, Jeroen S. W.

    “…In this paper we employ an equivariant Lyapunov-Schmidt procedure to give a clearer understanding of the one-to-one correspondence of the periodic solutions of…”
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    Local bifurcation in symmetric coupled cell networks: Linear theory by Dias, Ana Paula S., Lamb, Jeroen S.W.

    Published in Physica. D (01-11-2006)
    “…We consider a coupled cell network of differential equations with finite symmetry group Γ , where Γ permutes cells transitively. We show how the structure of…”
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    Hamiltonian Systems near Relative Equilibria by Roberts, Mark, Wulff, Claudia, Lamb, Jeroen S.W.

    Published in Journal of Differential Equations (01-03-2002)
    “…We give explicit differential equations for the dynamics of Hamiltonian systems near relative equilibria. These split the dynamics into motion along the group…”
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