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Early warning signals for critical transitions: A generalized modeling approach
critical transitions Populations and Evolution Dynamical Systems
2011/10/9
Critical transitions are sudden, often irreversible, changes that can occur in a large variety of complex systems. Signals that warn of critical transitions are highly desirable, but their constructio...
Modeling scaled processes and 1/f^b noise by the nonlinear stochastic differential equations
nonlinear stochastic differential power-law distributions
2010/4/2
We present and analyze stochastic nonlinear differential equations generating signals with the power-law distributions of the signal intensity, 1/f^b noise, power-law autocorrelations and second order...
Practical use of variational principles for modeling water waves
water waves approximate equations
2010/4/2
This paper describes a method for deriving approximate equations for water waves. The method is based on a `relaxed' variational principle, i.e., on a Lagrangian involving as many variables as possibl...