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Publications Influence

Trichotomous-noise-induced catastrophic shifts in symbiotic ecosystems.

- R. Mankin, A. Ainsaar, A. Haljas, E. Reiter
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 14 May 2002

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

39 2

Resonant behavior of a fractional oscillator with fluctuating frequency.

- Erkki Soika, R. Mankin, A. Ainsaar
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 29 January 2010

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

50 1

A new approach to electromagnetic wave tails on a curved spacetime

- R. Mankin, T. Laas, R. Tammelo
- Physics
- 18 August 2000

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

4 1- PDF

Stochastic multiresonance and correlation-time-controlled stability for a harmonic oscillator with fluctuating frequency.

- R. Mankin, K. Laas, T. Laas, E. Reiter
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 17 September 2008

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.

- R. Mankin, A. Sauga, A. Ainsaar, A. Haljas, Kristiina Paunel
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 16 June 2004

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- PDF

Colored-noise-induced Hopf bifurcations in predator-prey communities.

- R. Mankin, T. Laas, A. Sauga, A. Ainsaar, E. Reiter
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 1 August 2006

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.

- R. Tammelo, R. Mankin, D. Martila
- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and…
- 1 July 2002

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

29- PDF

Anomalous mobility of Brownian particles in a tilted symmetric sawtooth potential.

- A. Haljas, R. Mankin, A. Sauga, E. Reiter
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 28 October 2004

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.

- R. Mankin, Erkki Soika, A. Sauga, A. Ainsaar
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 13 May 2008

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.

- R. Mankin, A. Ainsaar, E. Reiter
- Mathematics, Medicine
- Physical review. E, Statistical physics, plasmas…
- 1 August 1999

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

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