R. Mankin

Publications77
h-index18
Citations710
Highly Influential Citations4
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Trichotomous-noise-induced catastrophic shifts in symbiotic ecosystems.
An N-species Lotka-Volterra stochastic model of a symbiotic ecological system with the Verhulst self-regulation mechanism is considered. The effect of fluctuating environment on the carrying capacity… Expand
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Resonant behavior of a fractional oscillator with fluctuating frequency.
The long-time behavior of the first moment for the output signal of a fractional oscillator with fluctuating frequency subjected to an external periodic force is considered. Colored fluctuations of… Expand
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A new approach to electromagnetic wave tails on a curved spacetime
We present an alternative method for constructing the exact and approximate solutions of electromagnetic wave equations whose source terms are arbitrary order multipoles on a curved spacetime. The… Expand
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Stochastic multiresonance and correlation-time-controlled stability for a harmonic oscillator with fluctuating frequency.
The long-time behavior of the first two moments and the correlation function for the output signal of a harmonic oscillator with fluctuating frequency subjected to an external periodic force and an… Expand
  • 55
Colored-noise-induced discontinuous transitions in symbiotic ecosystems.
A symbiotic ecosystem is studied by means of the Lotka-Volterra stochastic model, using the generalized Verhulst self-regulation. The effect of fluctuating environment on the carrying capacity of a… Expand
  • 41
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Colored-noise-induced Hopf bifurcations in predator-prey communities.
A broad class of (N+1) -species ratio-dependent predator-prey stochastic models, which consist of one predator population and N prey populations, is considered. The effect of a fluctuating… Expand
  • 35
Three and four current reversals versus temperature in correlation ratchets with a simple sawtooth potential.
Transport of Brownian particles in a simple sawtooth potential subjected to both unbiased thermal and nonequilibrium symmetric three-level Markovian noise is considered. The effects of three and four… Expand
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Anomalous mobility of Brownian particles in a tilted symmetric sawtooth potential.
Overdamped motion of Brownian particles in a 1D periodic system with a simple symmetric sawtooth potential subjected to both unbiased thermal noise and spatially nonhomogeneous three-level colored… Expand
  • 26
Thermally enhanced stability in fluctuating bistable potentials.
Overdamped motion of Brownian particles in an asymmetric double-well potential driven by an additive nonequilibrium three-level noise and a thermal noise is considered. In the stationary regime, an… Expand
  • 27
Trichotomous noise-induced transitions.
A nonlinear one-dimensional process driven by a multiplicative exponentially correlated three-level Markovian noise (trichotomous noise) is considered. An explicit second-order linear ordinary… Expand
  • 43
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