Search Results - "YINGFEI YI"
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Relaxation Oscillations in Predator–Prey Systems
Published in Journal of dynamics and differential equations (2024)“…We characterize a criterion for the existence of relaxation oscillations in planar systems of the form du dt = u k + 1 g ( u , v , ε ) , dv dt = ε f ( u , v ,…”
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2
Response Solutions in Singularly Perturbed, Quasi-Periodically Forced Nonlinear Oscillators
Published in Journal of nonlinear science (01-12-2023)“…For a quasi-periodically forced oscillator, response solutions are quasi-periodic ones having the same frequencies as that of the forcing function. Typically…”
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3
Intermittent Synchronization in Finite-State Random Networks Under Markov Perturbations
Published in Communications in mathematical physics (01-06-2021)“…By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov…”
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4
Response Solutions in Degenerate Oscillators Under Degenerate Perturbations
Published in Annales Henri Poincaré (2022)“…For a quasi-periodically forced differential equation, response solutions are quasi-periodic ones whose frequency vector coincides with that of the forcing…”
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5
Nonlinear chiroptical response in lithium niobate metasurface driven by quasi-bound states in the continuum
Published in Applied physics letters (18-11-2024)“…Quasi-bound states in the continuum (QBIC) can significantly localize the light field and enhance light–matter interactions at the nanoscale, providing a…”
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6
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential
Published in Journal of nonlinear science (01-10-2023)“…In this paper, we study the existence and stability of quasi-periodic breathers in granular chains of coupled Duffing oscillators with Hertzian interaction…”
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7
Abnormal temperature-dependent transient electroluminescence spikes induced by the leakage of hole carriers in organic light-emitting diodes
Published in Applied physics letters (22-04-2024)“…The amplitude of the emission spike at the transient electroluminescence (TEL) falling edge is an important benchmark for evaluating the quantities of trapped…”
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8
Transient Dynamics of Absorbed Singular Diffusions
Published in Journal of dynamics and differential equations (01-12-2022)“…We consider a class of one-dimensional absorbed diffusion processes with small singular noises that exhibit multi-scale dynamics in the sense that typical…”
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9
Reducibility of Quasi-periodic Linear KdV Equation
Published in Journal of dynamics and differential equations (01-03-2022)“…In this paper, we consider the following one-dimensional, quasi-periodically forced, linear KdV equations u t + ( 1 + a 1 ( ω t ) ) u xxx + a 2 ( ω t , x ) u…”
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10
Towards mesoscopic ergodic theory
Published in Science China. Mathematics (01-09-2020)“…The present paper is devoted to a preliminary study towards the establishment of an ergodic theory for stochastic differential equations (SDEs) with less…”
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11
Invariant Tori in Hamiltonian Systems with High Order Proper Degeneracy
Published in Annales Henri Poincaré (01-05-2010)“…We study the existence of quasi-periodic, invariant tori in a nearly integrable Hamiltonian system of high order proper degeneracy, i.e., the integrable part…”
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12
Oscillations and multiscale dynamics in a closed chemical reaction system: second law of thermodynamics and temporal complexity
Published in The Journal of chemical physics (21-10-2008)“…We investigate the oscillatory reaction dynamics in a closed isothermal chemical system: the reversible Lotka-Volterra model. The second law of thermodynamics…”
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13
First integrals and normal forms for germs of analytic vector fields
Published in Journal of Differential Equations (01-09-2008)“…For a germ of analytic vector fields, the existence of first integrals, resonance and the convergence of normalization transforming the vector field to a…”
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14
Persistence of lower dimensional tori of general types in Hamiltonian systems
Published in Transactions of the American Mathematical Society (01-04-2005)“…This work is a generalization to a result of J. You (1999). We study the persistence of lower dimensional tori of general type in Hamiltonian systems of…”
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15
Quasi-periodic breathers in Hamiltonian networks of long-range coupling
Published in Physica. D (15-11-2008)“…This work is concerned with Hamiltonian networks of weakly and long-range coupled oscillators with either variable or constant on-site frequencies. We derive…”
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16
Preface: Special Issue of the Journal of Dynamics and Differential Equations in Memory of Professor George R. Sell
Published in Journal of dynamics and differential equations (01-09-2019)Get full text
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17
Interior Regularity for Regional Fractional Laplacian
Published in Communications in mathematical physics (01-11-2015)“…In this paper, we study interior regularity properties for the regional fractional Laplacian operator. We obtain the integer order differentiability of the…”
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18
Preface to the Special Issue in Memory of Walter Craig
Published in Journal of dynamics and differential equations (01-09-2021)Get full text
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19
On Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations
Published in Proceedings of the American Mathematical Society (01-06-2012)“…In this paper we consider continuous, SL (2,\mathbb{R})…”
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20
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions
Published in Probability theory and related fields (01-02-2024)“…The present paper is devoted to the investigation of an important family of absorbed singular diffusion processes exhibiting long transient dynamics, namely,…”
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