Search Results - "Lamb, Jeroen S.W."
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Bifurcation from codimension one relative homoclinic cycles
Published in Transactions of the American Mathematical Society (01-11-2011)“…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
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
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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Synchronisation of chaos and its applications
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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Bifurcation Analysis of a Stochastically Driven Limit Cycle
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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Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: A Banach lattice approach
Published in Stochastic processes and their applications (01-07-2024)“…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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Asymptotic estimates of SARS-CoV-2 infection counts and their sensitivity to stochastic perturbation
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 R 4
Published in Journal of Differential Equations (01-12-2020)Get full text
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On the Hamiltonian structure of normal forms at elliptic equilibria of reversible vector fields in R4
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
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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Preface: Dynamics and Bifurcations of Nonsmooth Systems
Published in Physica. D (15-11-2012)Get full text
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Time-reversal symmetry in dynamical systems: A survey
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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Topological bifurcations of minimal invariant sets for set-valued dynamical systems
Published in Proceedings of the American Mathematical Society (01-09-2015)“…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
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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Shift dynamics near non-elementary T-points with real eigenvalues
Published in Journal of difference equations and applications (03-04-2018)“…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
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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Equivariant Hopf bifurcation for neutral functional differential equations
Published in Proceedings of the American Mathematical Society (01-06-2008)“…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
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
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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